Maths with Miss Welton



|Question |

| |

|Work out the value of 3.92 - √75 |

|Write down all the numbers on your calculator display. (2) |

| |

|Write your answer to part (a) to : |

|3 significant figures |

|2 significant figures |

|1 significant figure (3) |

|Extra Question |

| |

|The number of people at a football match was exactly 83675. |

| |

|Write this number correct to |

| |

|3 significant figures |

| |

|2 significant figures |

| |

|1 significant figure |

|Question |

| |

|Use your calculator to work out [pic] |

| |

|Write down all the numbers on your calculator display. (2) |

| |

|Write your answer to part (a) to an appropriate degree of accuracy. |

|(1) |

|Extra Question |

|Work out the answer to the following and write down the answer to an appropriate degree of accuracy. |

| |

|[pic] |

|Question |

|A sports commentator reported that 25000 people attended a snowboarding competition. |

|The number of people had been rounded to the nearest 1000. |

|Write down the least possible number of people in the |

|audience. (1) |

|Write down the greatest possible number of people in the audience. (1) |

|Extra Question |

|The distance between two cities is given as 240 miles to the nearest 10 miles. |

|Write down the minimum possible distance between the two cities. |

|Write down the maximum possible distance between the two cities. |

|Question |

|Juana walks 17000 every day on average. |

|She walks approximately 1 mile every 3500 steps. |

|Work out an estimate for the average number of miles she walks in one year. (3) |

|Extra Question |

|Builder Bob builds walls, he lays 94 bricks in an hour. |

|He works for 8 hours for 5 days a week. |

|How many bricks will he lay in 1 year? |

|Question |

|The maximum temperature in Salford last year was 25oC to the nearest oC and the minimum temperature was 7oC to the nearest oC. |

|Calculate the range of temperatures. (3) |

|Extra Question |

|Last year Phil was 115cm tall to the nearest cm. This year he was measured and had grown to 123cm to the nearest cm. |

|Calculate the range of heights. |

|Question |

|[pic] |

| |

|5.49 and 12.28 are correct to 2 decimal places. |

|6.8 is correct to one decimal place. |

| |

|Which of the following gives the lower bound for x and which gives the upper bound for x? |

| |

|A [pic] B [pic] C [pic] |

| |

| |

|D [pic] E [pic] F [pic] |

|Question |

|The area of a rectangle, correct to 2 significant figures is 460 cm2. |

|The length of the rectangle, correct to 2 significant figures is 22 cm. |

|Writing your answers correct to an appropriate degree of accuracy: |

|Calculate the upper bound for the width of the rectangle |

|Calculate the lower bound for the width of the rectangle |

|Give a reason for your choice of degree of accuracy. |

|Question |

|The density of kryptonite is 2489 kg/m3. |

|Writing your answer to an appropriate degree of accuracy, work out: |

|The mass of a piece of kryptonite which has a volume of 2.49 m3 |

|The volume of a piece of kryptonite whose mass is 1199kg. |

|Give a reason for your choice of degree of accuracy. |

|Question |

|The time period, T seconds, of a clock’s pendulum is calculated using the formula |

| |

|[pic] |

| |

|Where L metres is the length of the pendulum and g m/s2 is the acceleration due to gravity. |

|L = 2.36 correct to 2 decimal places. |

|g = 8.8 correct to 1 decimal place. |

| |

|Find the upper bound of T, giving your answer to 2 decimal places |

|Find the lower bound of T, giving your answer to 2 decimal places |

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