Year 7 Non-Calculator Homework 1
Year 11 Higher Homework 1
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 20 - 3 × 4 | |
|2 |Find the Lowest Common Multiple (LCM) of 3 and 4 | |
|3 |Write 12 as a product of prime factors | |
|4 |Round 52961 to one significant figure | |
|5 |Work out 2/3 + 1/4 | |
| |Give your answer in its simplest form. | |
|6 |Work out 1/3 × 1/5 | |
| |Give your answer in its simplest form. | |
|7 |Divide £48 in the ratio 7 : 5 | |
|8 |Write 11 out of 25 as a percentage | |
|9 |Find 50% of 53 | |
|10 |Factorise 4a2 - 12b | |
|11 |Expand (x + 8)(x + 3) | |
|12 |Factorise x2 + 5x + 6 | |
|13 |Evaluate 32 × 33 | |
|14 |Write 250 in standard form | |
|15 |If x = 4 and y = -2, find z when z = x + y | |
|16 |Make x the subject of the following: b = x - 5 | |
|17 |Solve 8(x + 2) = 36 | |
|18 |The nth term of a sequence is 2n + 20. Find the value of the 5th term. | |
|19 |Estimate 102.2 × 4.3 | |
|20 |24 × 67 | |
Year 11 Higher Homework 2
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: (0.3 + 2.8)2 | |
| |(write down all the figures on your calculator display) | |
|2 |Convert 15 kg into pounds | |
| |1 kg ≈ 2.2 pounds | |
|3 |Convert 0.06 m2 into cm2 | |
|4 |Write 0.35 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £490 by 11% | |
|6 |Decrease £77 by 8% | |
|7 |A fridge costs £200 after a 50% reduction. Calculate the original price of the fridge. | |
|8 |Calculate (6.4 × 102) + (8.0 × 101) | |
| |(give your answer in standard form) | |
|9 |Calculate (3.4 × 107) × (4.5 × 10-4) | |
| |(give your answer in standard form) | |
|10 |Solve 6x - 4 = 2x + 16 | |
|11 |Solve the simultaneous equations: 3x + 2y = 16 | |
| |2x + y = 9 | |
|12 |Solve 4x + 11 < 23 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = 4 + 2x | |
|14 |Find the gradient of the line that passes through the points | |
| |(3, 7) and (5, 11) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(8, 0), | |
| |B(4, 6) | |
|16 |Find the sum of the interior angles of a hexagon | |
|17 |Find the circumference of a circle whose diameter is 4 cm. | |
|18 |A car travels 65 km in 45 minutes. What is the average speed of the car in km/h? | |
|19 |The probability that Andrea’s train is late is 0.05. Work out the probability that her train isn’t late. | |
|20 |Write down one prime number | |
Year 11 Higher Homework 3
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 18 - 10 ÷ 5 | |
|2 |Find the Lowest Common Multiple (LCM) of 4 and 9 | |
|3 |Write 44 as a product of prime factors | |
|4 |Round 961 to one significant figure | |
|5 |Work out 3/4 - 1/6 | |
| |Give your answer in its simplest form. | |
|6 |Work out 2/3 ÷ 1/4 | |
| |Give your answer in its simplest form. | |
|7 |Divide £54 in the ratio 1 : 5 | |
|8 |Write 3 out of 20 as a percentage | |
|9 |Find 35% of 300 | |
|10 |Factorise 3a2 + 7a | |
|11 |Expand (b + 2)(b - 4) | |
|12 |Factorise x2 + 7x + 12 | |
|13 |Evaluate a3 × a8 | |
|14 |Write 7340 in standard form | |
|15 |If x = -3 and y = -2, find z when z = 2x + y2 | |
|16 |Make x the subject of the following: 2z = 3r + x | |
|17 |Solve 12 - 4x = 8 | |
|18 |The nth term of a sequence is n2 + 1. Find the value of the 100th term. | |
|19 |Estimate 306.9 ÷ 6.4 | |
|20 |214 × 67 | |
Year 11 Higher Homework 4
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: 2.72 + 3.92 | |
| |(write down all the figures on your calculator display) | |
|2 |Convert 15 inches into cm | |
| |1 inch ≈ 2.5 cm | |
|3 |Convert 382000 cm3 into m3 | |
|4 |Write 0.7 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £101 by 16% | |
|6 |Decrease £36 by 21% | |
|7 |Andy buys a top hat that has been reduced in a sale by 35%. If the sale price is £13, what was its original | |
| |price? | |
|8 |Calculate (1.8 × 105) + (3.2 × 103) | |
| |(give your answer in standard form) | |
|9 |Calculate (4.6 × 109) × (5.5 × 10-2) | |
| |(give your answer in standard form) | |
|10 |Solve 17x - 2 = 7x + 8 | |
|11 |Solve the simultaneous equations: 4x + 3y = 16 | |
| |5x - y = 1 | |
|12 |Solve -3x - 7 ≥ -1 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = x + 6 | |
|14 |Find the gradient of the line that passes through the points | |
| |(1, 4) and (3, 14) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(5, 2), | |
| |B(3, 0) | |
|16 |Find the size of each of the interior angles in a regular pentagon | |
|17 |Find the circumference of a circle whose radius is 3 cm. | |
|18 |It takes a high speed train 25 minutes to travel 240 km. Calculate the average speed of the train in | |
| |kilometres per hour. | |
|19 |What is the probability of picking a diamond from a standard pack of playing cards? | |
|20 |Write down a factor of 24 | |
Year 11 Higher Homework 5
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 35 ÷ 5 + 2 | |
|2 |Find the Lowest Common Multiple (LCM) of 3, 6 and 8 | |
|3 |Write 24 as a product of prime factors | |
|4 |Round 6.782 to one significant figure | |
|5 |Work out 5/6 + 1/8 | |
| |Give your answer in its simplest form. | |
|6 |Work out 7/8 × 1/4 | |
| |Give your answer in its simplest form. | |
|7 |Share £150 in the ratio 1: 4: 5 | |
|8 |Write 18 out of 24 as a percentage | |
|9 |Find 45% of 500 | |
|10 |Factorise 4b2 + 16b | |
|11 |Expand (a - 1)(a + 2) | |
|12 |Factorise x2 + 8x + 7 | |
|13 |Evaluate y6 ÷ y2 | |
|14 |Write 3 × 106 as an ordinary number | |
|15 |If x = -1 and y = 5, find z when z = x2 + 2y2 | |
|16 |Make x the subject of the following: y = 4x - 3 | |
|17 |Solve 47 - 9x = 11 | |
|18 |Find the nth term of the following sequence: 7, 13, 19, 25, ... | |
|19 |Estimate (3.4 + 9.8) ÷ 2.2 | |
|20 |784 × 39 | |
Year 11 Higher Homework 6
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: 4.52 - √53 | |
| |(write down all the figures on your calculator display) | |
|2 |Convert 14 yards into feet | |
| |1 yard = 3 feet | |
|3 |Convert 84 mm2 into cm2 | |
|4 |Write 0.52 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £55 by 37% | |
|6 |Decrease £82 by 13% | |
|7 |In a sale, Richard bought a TV for £300. The original price of the TV was £380. What was the percentage | |
| |discount on the TV? | |
|8 |Calculate (9.9 × 108) + (5.5 × 106) | |
| |(give your answer in standard form) | |
|9 |Calculate (6 × 105) × (2.37 × 102) | |
| |(give your answer in standard form) | |
|10 |Solve 4x + 9 = 6 - x | |
|11 |Solve the simultaneous equations: 4x - y = 22 | |
| |3x + 4y = 26 | |
|12 |Solve 7 < x + 3 ≤ 15 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |x = 6 + 2y | |
|14 |Find the gradient of the line that passes through the points | |
| |(5, 1) and (2, -5) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(-2, 3), | |
| |B(6, 5) | |
|16 |Find the size of each of the exterior angles of a regular octagon | |
|17 |Find the circumference of a circle whose radius is 0.7 m. | |
|18 |A dart is thrown with speed 15 m/s. It hits a dartboard 2.4 m away. How long is the dart in the air? | |
|19 |A fair coin is tossed three times. Work out the probability of getting no tails. | |
|20 |Write down two multiples of 17 | |
Year 11 Higher Homework 7
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 36 - 12 ÷ 4 | |
|2 |Find the Highest Common Factor (HCF) of 12 and 20 | |
|3 |Write 60 as a product of prime factors | |
|4 |Round 529 to two significant figures | |
|5 |Work out 7/8 + 2/5 | |
| |Give your answer in its simplest form. | |
|6 |Work out 2⅓ × 1/4 | |
| |Give your answer in its simplest form. | |
|7 |Divide £72cm in the ratio 2 : 3 : 1 | |
|8 |39 out of 65 people in a book club have blonde hair. What percentage does not have blonde hair? | |
|9 |Find 20% of 90 | |
|10 |Factorise 2x2 + 18x3 | |
|11 |Expand (y - 8)(y - 6) | |
|12 |Factorise x2 + 4x + 3 | |
|13 |Evaluate y0 | |
|14 |Write 0.0342 in standard form | |
|15 |If x = -4 and y = 3, find z when z = 4x - y3 | |
|16 |Make x the subject of the following: y + 2x = x - 2 | |
|17 |Solve 8 - 7x = 22 | |
|18 |Find the nth term of the following sequence: 5, 10, 15, 20, ... | |
|19 |Estimate (63 × 128) ÷ 32.9 | |
|20 |938 × 21 | |
Year 11 Higher Homework 8
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: 6 × √(37 ÷ 4) | |
| |(write down all the figures on your calculator display) | |
|2 |Convert 180 miles into km | |
| |1 mile ≈ 1.6 km | |
|3 |Convert 0.001 km2 into m2 | |
|4 |Write 0.63 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £89 by 61% | |
|6 |Decrease £101 by 43% | |
|7 |A house price increases from £145000 to £187050. Find the percentage increase. | |
|8 |Calculate (6.5 × 103) + (9.4 × 104) | |
| |(give your answer in standard form) | |
|9 |Calculate (1.2 × 104) × (5.3 × 106) | |
| |(give your answer in standard form) | |
|10 |Solve 3x + 9 = 10x - 5 | |
|11 |Solve the simultaneous equations: 5x - 3y = 12 | |
| |2x - y = 5 | |
|12 |Solve x ÷ 3 < 8 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y + x = 8 | |
|14 |Find the gradient of the line that passes through the points | |
| |(0, 4) and (2, 10) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(4, -7), | |
| |B(-2, 1) | |
|16 |Find the sum of the interior angles of a nonagon | |
|17 |Find the circumference of a circle whose diameter is 16 mm. | |
|18 |A car travels 85 miles at an average speed of 34 mph. How many minutes does the journey take? | |
|19 |The probability that a biased dice lands on 4 is 0.75. How many times would you expect to roll 4 in 60 rolls | |
| |of the dice? | |
|20 |Write down three possible angles of a triangle | |
Year 11 Higher Homework 9
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: -16 × -3 | |
|2 |Find the Highest Common Factor (HCF) of 8 and 12 | |
|3 |Write 72 as a product of prime factors | |
|4 |Round 61.98 to two significant figures | |
|5 |Work out 8/9 - 2/7 | |
| |Give your answer in its simplest form. | |
|6 |Work out 2/3 ÷ 3/7 | |
| |Give your answer in its simplest form. | |
|7 |Share 32 sandwiches in the ratio 3 : 5 | |
|8 |There are 300 counters in a bag, 45 of which are green. Express the amount of green counters as a percentage.| |
|9 |A wooden plank is 9m long. 55% of the plank is cut off. What length of wood has been cut off? | |
|10 |Factorise 7y - 15y2 | |
|11 |Expand (x + 1)2 | |
|12 |Factorise x2 - 6x + 8 | |
|13 |Evaluate x1 | |
|14 |Write 0.44320 in standard form | |
|15 |If x = 9 and y = -5, find z when z = -2x + 3y | |
|16 |Make x the subject of the following: k = 2(3x - 5) | |
|17 |Solve 8(x + 4) = 88 | |
|18 |Find the nth term of the following sequence: 7, 27, 47, 67, ... | |
|19 |Estimate 8.31 ÷ 1.86 | |
|20 |272 × 71 | |
Year 11 Higher Homework 10
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: 5.63 + 11.2 | |
| |(give your answer correct to 1 decimal place) | |
|2 |Convert 5 litres into pints | |
| |1 pint ≈ 0.57 litres | |
|3 |Convert 15 cm3 into mm3 | |
|4 |Write 0.48 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £139 by 38% | |
|6 |Which gives you more...increasing £25 by 20% or decreasing £30 by 15%? | |
|7 |A house price increases from £850000 to £970050. Find the percentage increase. | |
|8 |Calculate (5.5 × 107) + (5.5 × 108) | |
| |(give your answer in standard form) | |
|9 |Calculate (3.3 × 10-3) × (6.6 × 10-6) | |
| |(give your answer in standard form) | |
|10 |Solve 3(x + 2) = x + 14 | |
|11 |Solve the simultaneous equations: 2x + 3y = 10 | |
| |x - y = 5 | |
|12 |Solve 2x + 16 ≥ -8 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y - 12 = 3x | |
|14 |Find the gradient of the line that passes through the points | |
| |(1, 3) and (5, 11) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(-3, 0), | |
| |B(9, -2) | |
|16 |Find the size of each of the interior angles of a regular decagon | |
|17 |Find the area of a circle whose diameter is 12 cm. | |
|18 |A girl skates at an average speed of 7.5 mph. How far does she skate in 75 minutes? | |
|19 |A fair, six-sided dice is rolled 120 times. How many times would you expect to roll a 5? | |
|20 |Write down an equation of a straight line parallel to the line y = -2x + 3 | |
Year 11 Higher Homework 11
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: -27 ÷ -9 | |
|2 |Find the Highest Common Factor (HCF) of 18 and 24 | |
|3 |Write 36 as a product of prime factors | |
|4 |Round 0.274 to one significant figure | |
|5 |Work out 2⅓ + 3¼ | |
| |Give your answer in its simplest form. | |
|6 |Work out 2⅓ × 3¼ | |
| |Give your answer in its simplest form. | |
|7 |Paul is 16 and Hannah is 14. Their granddad gives them £1200 to share in the ratio of their ages. How much do| |
| |they each get? | |
|8 |A chess club has 25 members. 12 of these members are female. Express the number of female members as a | |
| |percentage. | |
|9 |Find 32% of 25 | |
|10 |Factorise 4x2 - 52x | |
|11 |Expand (x - 4)(x + 4) | |
|12 |Factorise x2- 7x + 10 | |
|13 |Evaluate (x4)6 | |
|14 |Write 43 × 103 in standard form | |
|15 |If x = -5 and y = -2, find z when z = -x + y2 | |
|16 |Make x the subject of the following: 4y = x2 + 16 | |
|17 |Solve 2 ÷ x = 5 | |
|18 |Find the nth term of the following sequence: -2, 1, 4, 7, ... | |
|19 |Estimate (9.9 x 285) ÷ (18.7 × 3.2) | |
|20 |398 × 56 | |
Year 11 Higher Homework 12
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: 87.4 ÷ (√39 + 3) | |
| |(give your answer correct to 1 decimal place) | |
|2 |Convert 10 pints into gallons | |
| |1 gallon = 8 pints | |
|3 |Convert 0.2 m3 into cm3 | |
|4 |Write 0.72 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £313 by 62% | |
|6 |Decrease £189 by 27% | |
|7 |A house price decreases from £205000 to £187050. Find the percentage increase. | |
|8 |Calculate (5.2 × 104) - (3.3 × 103) | |
| |(give your answer in standard form) | |
|9 |Calculate (3.6 × 107) ÷ (1.2 × 104) | |
| |(give your answer in standard form) | |
|10 |Solve 8(x - 8) = 2(x - 2) | |
|11 |Solve the simultaneous equations: 4x - 2y = 8 | |
| |x - 3y = -3 | |
|12 |Solve 4x + 2 < 2x - 2 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = 5x - 11 | |
|14 |Find the gradient of the line that passes through the points | |
| |(-1, 3) and (5, 7) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(-6, -2), | |
| |B(-4, 6) | |
|16 |Find the size of each of the interior angles of a regular septagon/heptagon | |
|17 |Find the area of a circle whose diameter is 1 cm. | |
|18 |A train travels at 78 km/h for 5.6 km. How long does the journey take? | |
| |Give your answer to the nearest minute. | |
|19 |A fair coin is tossed and a fair, six-sided dice is rolled. Find the probability that the results are a head | |
| |and a multiple of 3. | |
|20 |Write down all integers, k, that satisfy the inequality -2 < k ≤ 5 | |
Year 11 Higher Homework 13
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 5 × 22 | |
|2 |Find the Highest Common Factor (HCF) of 56 and 63 | |
|3 |Write 98 as a product of prime factors | |
|4 |Round 0.406 to two significant figures | |
|5 |Work out 3⅚ - ⅜ | |
| |Give your answer in its simplest form. | |
|6 |Work out 1⅓ × 5⅔ | |
| |Give your answer in its simplest form. | |
|7 |There are 112 people in an office. The ratio of men to women is 9 : 5. How many men and women are there? | |
|8 |Write 63 out of 75 as a percentage | |
|9 |Find 80% of 15 | |
|10 |Factorise 5bc2 - 25c | |
|11 |Expand (p - 5)(p + 5) | |
|12 |Factorise x2 - 5x + 4 | |
|13 |Evaluate (x7)2 | |
|14 |Write 0.63 × 102 in standard form | |
|15 |If a = -7 and b = 1, find c when c = 4b - a | |
|16 |Make x the subject of the following: z = 3 - x | |
|17 |Solve 12 ÷ (x + 2) = 4 | |
|18 |Find the nth term of the following sequence: 40, 37, 34, 31, ... | |
|19 |Estimate (9.7 × 326) ÷ (1.823 × 5.325) | |
|20 |873 × 76 | |
Year 11 Higher Homework 14
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
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|1 |Find the value of: √3412 ÷ 4.32 | |
| |(give your answer correct to 1 decimal place) | |
|2 |Convert 15 ounces into grams | |
| |1 ounce ≈ 28 g | |
|3 |Convert 1750 cm2 into m2 | |
|4 |Write 0.46 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £645 by 27% | |
|6 |Which gives you more...increasing £100 by 50% or decreasing £200 by 25%? | |
|7 |In a sale, the price of a toaster is reduced from £50 to £30. Find the percentage decrease. | |
|8 |Calculate (3.6 × 107) - (6.4 × 105) | |
| |(give your answer in standard form) | |
|9 |Calculate (8.4 × 104) ÷ (7 × 108) | |
| |(give your answer in standard form) | |
|10 |Solve 5(x - 5) = 2(x - 14) | |
|11 |Solve the simultaneous equations: 4x + 2y = 14 | |
| |8x + y = 10 | |
|12 |Solve 3x - 3 > -1 + x | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = -3x | |
|14 |Find the gradient of the line that passes through the points | |
| |(-3, -2) and (1, -5) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(-1, 3), | |
| |B(-1, -7) | |
|16 |Find the sum of the interior angles of a decagon | |
|17 |The area of a circle is 32 cm2, find its radius | |
|18 |A man runs for 33 minutes with average speed 12 km/h. How far does he run? | |
|19 |A fair coin is tossed twice. Work out the probability of getting both tosses the same. | |
|20 |Write down all square numbers less than 50 | |
Year 11 Higher Homework 15
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 32 + 4 × 6 | |
|2 |Find the Highest Common Factor (HCF) of 70 and 56 | |
|3 |Write 150 as a product of prime factors | |
|4 |Round 61045 to three significant figures | |
|5 |Work out 6/7 + 1/6 | |
| |Give your answer in its simplest form. | |
|6 |Work out 6½ ÷ ¼ | |
| |Give your answer in its simplest form. | |
|7 |A quiz team share their £150 prize money in the ratio 2 : 4 : 6. What is the least amount that any team | |
| |member receives? | |
|8 |Express 15 as a percentage of 50 | |
|9 |Find 16% of 10 | |
|10 |Factorise 6a2b + 12ab2 | |
|11 |Expand (y - 7)2 | |
|12 |Factorise x2 - 2x - 15 | |
|13 |Evaluate x3 × x8 | |
|14 |Write 4.23 × 105 as an ordinary number | |
|15 |If a = -2 and b = 3, find c when c = 4b ÷ a | |
|16 |Make x the subject of the following: a = 1 ÷ x | |
|17 |Solve 30 = 2.5(x + 4) | |
|18 |Find the nth term of the following sequence: -10, -25, -40, -55, ... | |
|19 |Estimate 7.57 × 3.81 | |
|20 |976 × 32 | |
Year 11 Higher Homework 16
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
| | |
| | |
|1 |Find the value of: (152 - 122) ÷ √(9.6 - 3.87) | |
| |(give your answer correct to 1 decimal place) | |
|2 |Convert 120 cm into feet | |
| |1 foot ≈ 30 cm | |
|3 |Convert 29000 mm2 into cm2 | |
|4 |Write 0.01 as a percentage, and a fraction in its simplest terms | |
|5 |Increase £482 by 17.5% | |
|6 |A farmer has 380 acres of land. He sells 35% of his land. How much does he have left? | |
|7 |In an experiment the mass of a chemical drops from 75 g to 69 g. Find the percentage decrease. | |
|8 |Calculate (9.5 × 102) - (4.1 × 10-1) | |
| |(give your answer in standard form) | |
|9 |Calculate (1.8 × 10-4) ÷ (1.2 × 108) | |
| |(give your answer in standard form) | |
|10 |Solve 6(x - 3) = 3(x + 8) | |
|11 |Solve the simultaneous equations: 3x - 2y = 8 | |
| |5x - 3y = 14 | |
|12 |Solve 16 < 4x < 28 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = 4 | |
|14 |Find the gradient of the line that passes through the points | |
| |(5, -2) and (1, 1) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(-2, -8), | |
| |B(5, -8) | |
|16 |Find the size of each of the exterior angles of a regular hexagon | |
|17 |A circle’s circumference is 29 cm, find its radius | |
|18 |A 1840 kg concrete block has a volume of 0.8 m3. Calculate the density of the concrete block. | |
|19 |A bag contains ten balls numbered 1 to 10. Ball 8 is selected at random and not replaced. Find the | |
| |probability that the next ball selected is ball 7. | |
|20 |Write down the first 6 terms of the Fibonacci sequence | |
Year 11 Higher Homework 17
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 3 + 2 × 9 - 4 | |
|2 |Find the Lowest Common Multiple (LCM) of 12 and 15 | |
|3 |Write 132 as a product of prime factors | |
|4 |Round 0.0523 to one significant figure | |
|5 |Work out 9¼ + 2⅓ | |
| |Give your answer in its simplest form. | |
|6 |Work out 4¾ ÷ ½ | |
| |Give your answer in its simplest form. | |
|7 |The angles in a triangle are in the ratio 2 : 1 : 3. Find the sizes of the three angles. | |
|8 |Express 8 as a percentage of 32 | |
|9 |Find 67% of 108 | |
|10 |Factorise 4xy3 - 4x2y2 | |
|11 |Expand (x - 2)(x - 5) | |
|12 |Factorise x2 - 4x - 12 | |
|13 |Evaluate 16x4 ÷ 8x | |
|14 |Write 1.023 × 10-3 as an ordinary number | |
|15 |If a = -6 and b = -2, find c when c = 3ab | |
|16 |Make x the subject of the following: z = 10 - 2x2 | |
|17 |Solve 2.6x - 7 = -59 | |
|18 |Find the first 5 terms of the sequence given by 10n - 8 | |
|19 |Estimate (64.4 × 5.6) ÷ (17 × 9.5) | |
|20 |975 × 23 | |
Year 11 Higher Homework 18
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
| | |
| | |
|1 |Work out √16.75 + 1.532 | |
| |(write down all the figures on your calculator display) | |
|2 |Convert 4 miles into km | |
| |1 mile ≈ 1.6 km | |
|3 |Convert 1.2 m2 into mm2 | |
|4 |Write 0.06 as a percentage, and a fraction in its simplest terms | |
|5 |Stephen puts £150 into an account which pays 5% interest per year. How much will he have in the account after| |
| |1 year? | |
|6 |Decrease £99 by 9% | |
|7 |The sale price of a DVD is £5.99. The original price of the DVD was £11.99. Find the percentage decrease. | |
|8 |Calculate (2.1 × 104) - (1.8 × 103) | |
| |(give your answer in standard form) | |
|9 |Calculate (4.8 × 103) ÷ (1.2 × 10-2) | |
| |(give your answer in standard form) | |
|10 |Solve 4(x - 3) = 2(x - 8) | |
|11 |Solve the simultaneous equations: 2x + 6y = 19 | |
| |3x + 8y = 28 | |
|12 |Solve 6 - x < 7x - 2 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = 3 - x | |
|14 |Find the gradient of the line that passes through the points | |
| |(-4, -3) and (-8, -6) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(-3, -2), | |
| |B(1, 4) | |
|16 |Find the size of each of the exterior angles of a dodecagon | |
|17 |Find the area of a circle whose radius is 2 cm. | |
|18 |A paperweight has a volume of 8 cm3 and a density of 11500 kg/m3. Calculate the mass of the paperweight. | |
|19 |Three children are chosen at random from a class containing 15 boys and 12 girls. Find the probability that | |
| |no girls are chosen. | |
|20 |Write down Pythagoras’ Theorem | |
Year 11 Higher Homework 19
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
|Student Name: |Parent/Carer Signature: |
| | |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Work out: 18 ÷ (9 - 12 ÷ 4) | |
|2 |Find the Highest Common Factor (HCF) of 24, 30 and 36 | |
|3 |Write 325 as a product of prime factors | |
|4 |Round 0.00076511 to one significant figure | |
|5 |Work out 9/8 - 1/5 | |
| |Give your answer in its simplest form. | |
|6 |Work out 7⅗ ÷ 2⅚ | |
| |Give your answer in its simplest form. | |
|7 |The four angles in a quadrilateral are in the ratio 1 : 5 : 2 : 4. Calculate the sizes of the four angles. | |
|8 |Express 14 as a percentage of 35 | |
|9 |Find 90% of 21 | |
|10 |Factorise 12pq - 2p2 | |
|11 |Expand (y + 2)(y - 13) | |
|12 |Factorise x2 + 3x - 18 | |
|13 |Evaluate 3x5 × 2x2 | |
|14 |Write 6.67 × 10-1 as an ordinary number | |
|15 |If a = 6 and b = -4, find c when c = -2ab2 | |
|16 |Make x the subject of the following: b = √x + 4 | |
|17 |Solve 1.5x - 3 = -24 | |
|18 |Find the nth term of the following sequence: 13, 9, 5, 1, ... | |
|19 |Estimate (174.3 × 3.45) × (2.8 × 23.9) | |
|20 |769 × 154 | |
Year 11 Higher Homework 20
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
|Student Name: |Parent Signature: |
| | |
| | |
|1 |Work out (2.4 × 1.92) × 2.03 | |
| |(write down all the figures on your calculator display) | |
|2 |Convert 1 km into miles | |
| |1 mile ≈ 1.6 km | |
|3 |Convert 19 cm3 into m3 | |
|4 |Write 0.14 as a percentage, and a fraction in its simplest terms | |
|5 |David’s height increased by 20% between the ages of 6 and 10. He was 50 inches tall aged 6. How tall was he | |
| |aged 10? | |
|6 |Decrease £1 by 17% | |
|7 |The price of a Smartphone increased from £125 to £150. Find the percentage increase. | |
|8 |Calculate (4.9 × 107) + (8.0 × 102) | |
| |(give your answer in standard form) | |
|9 |Calculate (8.1 × 10-1) ÷ (0.9 × 10-2) | |
| |(give your answer in standard form) | |
|10 |Solve -4(x - 3) = 8(0.7 - x) | |
|11 |Solve the simultaneous equations: 4x + 7y = 15 | |
| |5x - 2y = 8 | |
|12 |Solve 8 < 3x - 4 ≤ 26 | |
|13 |Find the gradient and the coordinates of the y-intercept for the graph: | |
| |y = ⅓x + 2 | |
|14 |Find the gradient of the line that passes through the points | |
| |(2, -1) and (4, -9) | |
|15 |Find the coordinates of the midpoint of the line segment AB, where A and B have coordinates: A(½, -4), | |
| |B(-8, 6) | |
|16 |Find the size of each of the exterior angles of a regular septagon/heptagon | |
|17 |The area of a circle is 34 cm2, find its diameter | |
|18 |A limestone statue has a volume of 0.4 m3. Limestone has a density of 2610 kg/m3. Calculate the mass of the | |
| |statue. | |
|19 |The probability that Colin wins any game of chess is 0.8. Work out the probability that Colin wins neither of| |
| |his next two games of chess. | |
|20 |How many planes of symmetry does a cube have? | |
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