KS3 Revision work. Level 5

Transcription

1 KS3 Revision work Level 5 1. Frog spawn The graph shows the date each year that frogs eggs were first seen. 28th Feb 21st Feb Date eggs first seen 14th Feb 7th Feb 31st Jan 24th Jan Year (a) On what date in 1997 were frogs eggs first seen?... Hertfordshire La Schools 1

2 (b) At the beginning of each year, the warmer the weather, the earlier frogs eggs are first seen. What can you say about the weather at the beginning of 1991? v 2002 Look at this information. In 1976, a man earned 16 each week. The pie chart shows how he spent his money. Other Clothes Entertainment Rent Food Hertfordshire La Schools 2

3 (a) How much did the man spend on food each week? (b) Now look at this information. In 2002, a man earned 400 each week. The table shows how he spent his money. Rent 200 Food 100 Entertainment 50 Other 50 Hertfordshire La Schools 3

4 Complete the pie chart below to show how the man spent his money. Remember to label each sector of the pie chart. 2 marks Hertfordshire La Schools 4

5 3. Mean and median (a) Look at these three numbers Show that the mean of the three numbers is 10 Explain why the median of the three numbers is 10 (b) Four numbers have a mean of 10 and a median of 10, but none of the numbers is 10 What could the four numbers be? Give an example. Hertfordshire La Schools 5

6 4. Percentages (a) Write the missing numbers. 50% of 80 =... 5% of 80 =... 1% of 80 =... 2 marks (b) Work out 56% of 80 You can use part (a) to help you.... Hertfordshire La Schools 6

7 5. Completing calculations Write a number in each box to make the calculations correct. + = 8 8 = 2 marks 6. Numbers Here is a list of numbers: You can choose some of the numbers from the list and add them to find their total. For example, = 5 (a) Choose two of the numbers from the list which have a total of = 3 Hertfordshire La Schools 7

8 (b) Choose two of the numbers from the list which have a total of = 1 Choose two other numbers from the list which have a total of = (c) What is the total of all eight of the numbers on the list? Hertfordshire La Schools 8

9 (d) Choose the three numbers from the list which have the lowest possible total. Write the three numbers and their total. You must not use the same number more than once =... 2 marks 7. Odd or even? (a) I am thinking of a number. My number is a multiple of 4 Tick ( ) the true statement below. My number must be even My number must be odd My number could be odd or even Explain how you know. Hertfordshire La Schools 9

10 (b) I am thinking of a different number. My number is a factor of 20 Tick ( ) the true statement below. My number must be even My number must be odd My number could be odd or even Explain how you know. 8. Fir trees The graph shows the average heights of fir trees of different ages Height (metres) Age (years) Hertfordshire La Schools 10

11 The table shows the cost of fir trees of different heights. 120 cm to 159 cm 160 cm to 199 cm 200 cm to 239 cm Cost (a) One of these fir trees is years old. How much is it likely to cost?... (b) One of these fir trees costs How old is the tree likely to be? Between... and... years old Hertfordshire La Schools 11

12 9. Teachers A newspaper predicts what the ages of secondary school teachers will be in six years time. They print this chart. 100% Key: Age in years to to 39 50% 20 to 29 0% Male Female (a) The chart shows 24% of male teachers will be aged 40 to 49 About what percentage of female teachers will be aged 40 to 49?... % (b) About what percentage of female teachers will be aged 50+?... % Hertfordshire La Schools 12

13 (c) The newspaper predicts there will be about male teachers aged 40 to 49 Estimate the number of male teachers that will be aged (d) Assume the total number of male teachers will be about the same as the total number of female teachers. Use the chart to decide which statement is correct. Tick ( ) your answer. Generally, male teachers will tend to be younger than female teachers. Generally, female teachers will tend to be younger than male teachers. Explain how you used the chart to decide. Hertfordshire La Schools 13

14 10. Huts You can make huts with matches. 1 hut needs 5 matches 2 huts need 9 matches 3 huts need 13 matches A rule to find how many matches you need is m = 4 h + 1 m stands for the number of matches. h stands for the number of huts. (a) Use the rule to find how many matches you need to make 8 huts. Show your working.... matches 2 marks (b) I use 81 matches to make some huts. How many huts do I make? Show your working.... huts 2 marks Hertfordshire La Schools 14

15 (c) Andy makes different huts with matches. 1 hut needs 6 matches 2 huts need 11 matches 3 huts need 16 matches Circle the rule below that shows how many matches he needs. Remember: m stands for the number of matches. h stands for the number of huts. m h + 5 m 4h + 2 m 4h + 3 m 5h + 1 m 5h + 2 m h Lemonade Kate buys 24 cans of lemonade. She buys the cans in packs of 4 Each pack costs 1.20 Pack of 4 Cost 1.20 Hertfordshire La Schools 15

16 Steve buys 24 cans of lemonade. He buys the cans in packs of 6 Each pack costs 1.60 Pack of 6 Cost 1.60 Kate pays more for her 24 cans than Steve pays for his 24 cans. How much more?... p 2 marks Hertfordshire La Schools 16

17 12. Matching expressions A ruler costs k pence. A pen costs m pence. Match each statement with the correct expression for the amount in pence. The first one is done for you. Statement Expression 5k The total cost of 5 rulers 5m The total cost of 5 rulers and 5 pens 5 5m 500 5m How much more 5 pens cost than 5 rulers 5 k + m k m 5( + ) The change from 5, in pence, when you buy 5 pens 5 m 5k 5 k 5m 3 marks Hertfordshire La Schools 17

18 13. Yards Some people use yards to measure length. The diagram shows one way to change yards to metres. number of yards number of metres (a) Change 100 yards to metres.... metres (b) Change 100 metres to yards. Show your working.... yards 2 marks Hertfordshire La Schools 18

19 14. Thinking percentages (a) What is 30% of 250?... (b) I m thinking of a number. 10% of my number is 84 Show calculations and explain how you can work out that 15% of my number is 126 What is % of my number?... Hertfordshire La Schools 19

20 15. Rectangles and squares Here is a rectangle. 8cm 2cm Not drawn accurately (a) A square has the same area as this rectangle. What is the side length of this square?... cm (b) A different square has the same perimeter as this rectangle. What is the side length of this square?... cm Hertfordshire La Schools 20

21 16. Rectangles A rectangle has an area of 24 cm 2 How long could the sides of the rectangle be? Give three different examples.... cm and... cm... cm and... cm... cm and... cm 2 marks 17. Shape rotation Look at this shape made from six cubes. Four cubes are white Two cubes are grey. Hertfordshire La Schools 21

22 Part of the shape is rotated through 90 to make the shape below. After another rotation of 90, the shape is a cuboid. Draw this cuboid on the grid below. Isometric grid 2 marks Hertfordshire La Schools 22

23 18. Solving Solve these equations. 2k k... 2t t... Hertfordshire La Schools 23

24 19. Same area The square and the rectangle below have the same area. Not drawn accurately 4 cm 2 cm y cm 4 cm Work out the value of y y... cm Hertfordshire La Schools 24

25 20. Thinking triangularly Some statements in the table are true. Some are false. Beside each statement, write true or false. For true statements you must draw an example. The first one is done for you. Statement Write true or false. If true, draw an example. Some triangles have one right angle and two acute angles. true Some triangles have three right angles. Some triangles have three acute angles. Some triangles have one obtuse angle and two acute angles. Some triangles have two obtuse angles and one acute angle. 3 marks Hertfordshire La Schools 25

26 21. Positive and negative Look at this equation. y = 2x + 10 (a) When x = 4, what is the value of y?... (b) When x = 4, what is the value of y?... (c) Which equation below gives the same value of y for both x = 4 and x = 4? Put a ring round the correct equation. y = 2x y = 2 + x y = x 2 y = 2 x Hertfordshire La Schools 26

27 22. Three angles Three shapes fit together at point B. 93º A 24º B 61º Not drawn accurately C Will ABC make a straight line? Yes No Explain your answer. Hertfordshire La Schools 27