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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Expand and Simplify [pic] | |
|2 |A bag contains 5 red balls and 3 blue balls. A ball is picked at random from the bag and not replaced. Another | |
| |ball is then picked at random. What is the probability that the balls will be the same colour? | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |A rectangular garden measures 38m by 20m, to the nearest metre. Calculate the maximum possible area of the | |
|☺ |garden. | |
|7 |Solve [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |y is directly proportional to the square of x. If y = 64 when x = 2, find y when x = 5. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Expand and Simplify [pic] | |
|2 |A bag contains 3 pink balls and 4 green balls. Hannah picks a ball, at random, from the bag and then doesn’t | |
| |replace it. She then picks another ball at random. What is the probability that she picks a ball of each | |
| |colour? | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |A rectangular garden measures 38m by 20m, to the nearest metre. Calculate the minimum possible perimeter of the| |
|☺ |garden. | |
|7 |Simplify [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |y is directly proportional to the square of x. If y = 32 when x = 3, find y when x = 12.5. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Expand and Simplify [pic] | |
|2 |A drawer contains 12 socks (8 blue and 4 grey). I pick a sock from the draw and don’t replace it. I then pick | |
| |another sock. What is the probability that I pick a blue sock, then a grey sock? | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |A rectangular garden measures 38m by 20m, to the nearest metre. Calculate the maximum possible perimeter of the| |
|☺ |garden. | |
|7 |Simplify, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |p varies directly as the cube of q. When p = 81, q = 3, find p when q = 5. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Expand and Simplify [pic] | |
|2 |Mr Plus picks 2 students at random from his class of 31 students. 15 of his students are boys. What is the | |
| |probability he picks 2 girls from the class? | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |An equilateral triangle has sides length 7cm, measured to the nearest cm. Calculate the maximum possible | |
|☺ |perimeter of the triangle. | |
|7 |Simplify, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |p varies directly as the cube of q. When p = 1000, q = 5, find q when p = 64. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Expand and Simplify [pic] | |
|2 |Three children are chosen at random from a class of 15 boys and 12 girls. Find the probability that no girls | |
| |are chosen. | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |A regular pentagon has sides 12.5 cm, measured to the nearest mm. Work out the minimum possible perimeter of | |
|☺ |the pentagon. | |
|7 |Simplify, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |t is directly proportional to the square root of z and t = 35 when z = 100. Find t when z = 625. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |Three children are chosen at random from a class of 13 boys and 18 girls. Find the probability that 2 boys | |
| |and 1 girl are chosen. | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |The number of sweets in a jar is 670, to the nearest 10 sweets. What is the maximum possible amount of sweets| |
|☺ |in the jar? | |
|7 |Simplify, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |t is directly proportional to the square root of z and t = 35 when z = 100. Find z when t = 6. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |Three children are chosen at random from a class of 15 boys and 13 girls. Find the probability that a boy is | |
| |chosen 1st, a girl 2nd and then a girl 3rd. | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |A rectangular room measures 3.8m by 4.6m, to the nearest 10 cm. Calculate the maximum possible area of the | |
|☺ |room. | |
|7 |Simplify, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |p is inversely proportional to q. When p = 7, q = 4. What is the value of p when q = 56 | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |Three cards are selected at random from ten cards labelled 1 to 10. Find the probability that all 3 cards are| |
| |even numbers. | |
|3 |Simplify [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Evaluate [pic] | |
|6 |A rectangular room measures 9.8m by 2.1m, to the nearest 10 cm. Calculate the maximum possible perimeter of | |
|☺ |the room. | |
|7 |Simplify, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |s is inversely proportional to t. When s = 5, t = 16. What is the value of t when s = 48. Give your answer to| |
|☺ |3 significant figures. | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |Three cards are chosen at random from ten cards labelled 1 to 10. Find the probability that all the square | |
| |numbers are chosen. | |
|3 |Rationalise the denominator of [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Write in the form a-m [pic] | |
|6 |A rectangular room measures 2.7m by 1.8m, to the nearest 10 cm. Calculate the minimum possible area of the | |
|☺ |room. | |
|7 |Solve, [pic] | |
|8 |Write the following recurring decimal as a fraction in its simplest form [pic] | |
|9 |a is inversely proportional to the square of c and when c = 6, a = 3. Find the two possible values of c when | |
|☺ |a = 12. | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |A box contains 10 marbles, five blue, four white and one red. Two marbles are picked at random (neither are | |
| |replaced). What is the probability that neither marble is blue? | |
|3 |Rationalise the denominator of [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Simplify [pic] | |
|6 |Michael ran a 1500 m race in 260 seconds. The time was measured to the nearest second and the distance to the| |
|☺ |nearest 10 m. Calculate his maximum possible speed in m/s. | |
|7 |Solve, [pic] | |
|8 |Write the following fraction as a recurring decimal [pic] | |
|9 |h is inversely proportional to the cube of f. It is known that h = 12.5 when f = 2. Find the value of h when | |
|☺ |f = 5. | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |A box contains 10 marbles, five blue, four white and one red. Two marbles are picked at random (neither are | |
| |replaced). What is the probability that the marbles are different colours? | |
|3 |Rationalise the denominator of [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Simplify [pic] | |
|6 |A snail travels a distance of 5 m in 45 minutes. The distance is measured to the nearest cm and the time to | |
|☺ |the nearest minute. What is the minimum possible speed of the snail? | |
|7 |Solve, [pic] | |
|8 |Write the following fraction as a recurring decimal [pic] | |
|9 |b is inversely proportional to the square of c. When c = 1, b = 64. Find values of b and c such that b = c. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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.
Questions that require the use of a calculator are indicated by a☺
|Student Name: |Parent Signature: |
| | |
| |Please sign to confirm a calculator has not been used. |
|1 |Factorise and Solve, [pic] | |
|2 |A box contains 10 marbles, five blue, four white and one red. Two marbles are picked at random (neither are | |
| |replaced). What is the probability that one is red and one is white? | |
|3 |Rationalise the denominator of [pic] | |
|4 |Calculate the following [pic] | |
|☺ | | |
|5 |Simplify [pic] | |
|6 |Find the maximum possible volume of a cube whose sides are 6 cm, measured to the nearest cm. | |
|☺ | | |
|7 |Solve, [pic] | |
|8 |Write the following fraction as a recurring decimal [pic] | |
|9 |y is inversely proportional to the cube of x, and when x = 4, y = 10. Find the value of x when y = 50. | |
|☺ | | |
|10 |Solve these pair of simultaneous equations | |
|☺ |[pic] | |
| |[pic] | |
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