KS3 Revision work Level 4

Transcription

1 KS3 Revision work Level 4. Number grids Here are the rules for a number grid. 2 This number is the sum of the numbers in the middle row This number is the product of the numbers in the middle row. Use the rules to write the missing numbers in these number grids marks Hertfordshire La Schools

2 2. Multiple and factor (a) A three-digit number is a multiple of 4 What could the number be? Give an example.... Now give a different example.... (b) A two-digit number is a factor of 00 What could the number be? Give an example.... Now give a different example.... Hertfordshire La Schools 2

3 3. Party Leena buys balloons, hats and masks for a party. Write the missing numbers in the table. Cost of each ( ) Number bought Total cost ( ) Packets of balloons Hats Masks Total:... 2 marks 4. Getting There Look at this number chain Hertfordshire La Schools 3

4 (a) Fill in the missing numbers in the circles below (b) Fill in the missing numbers in the arrows below Hertfordshire La Schools 4

5 5. Patterns on a grid I put square tiles on a large grid so that the tiles touch at the corners. The diagram shows part of my diagonal pattern. y x (a) The bottom right-hand corner of tile 2 is marked with a Write the coordinates of this point. (, ) (b) Tile 4 touches two other tiles. Write the coordinates of the points where tile 4 touches two other tiles. (, ) (, ) (c) Write the coordinates of the points where tile 7 touches two other tiles. (, ) (, ) Hertfordshire La Schools 5

6 (d) I have 30 tiles to make a pattern on a grid. The pattern is a series of squares. y x I have used some of the 30 tiles to make my pattern. Do I have enough tiles left to make the next square, of side length 4? Show working to explain your answer. 2 marks Hertfordshire La Schools 6

7 6. Using rules (a) These rules show how to get from one number to the next in these sequences. Use the rules to write the next two numbers in each sequence. Rule: Add Rule: Multiply by Rule: Divide by 4 then add Hertfordshire La Schools 7

8 (b) A sequence of numbers starts like this: Could the rule be Subtract 8? Yes No Explain your answer. 7. Calculations (a) Write what the missing numbers could be in the empty boxes. + = 0 24 = 3 30 (b) Find the answer = Hertfordshire La Schools 8

9 (c) Find the answers = 46 8 = 44 9 = 8. Names These are the names of the twelve people who work for a company. Ali Claire Kiki Suki Brian Claire Lucy Tom Claire James Ryan Tom (a) What name is the mode?... Hertfordshire La Schools 9

10 (b) One person leaves the company. A different person joins the company. Now the name that is the mode is Tom. Write the missing names in the sentences below. The name of the person who leaves is... The name of the person who joins is a and b Look at this equation. 4 + a = b Write a pair of numbers for a and b to make the equation true. a =... b =... Now write a different pair of numbers for a and b to make the equation true. a =... b =... Hertfordshire La Schools 0

11 0. What numbers? (a) I think of a number. I call my number n n Then I add 5 to my number. n + 5 The answer is 8 n + 5 = 8 What was my number? n =... (b) Solve this equation to find the value of m m 2 = 8 m =... Hertfordshire La Schools

12 . Recycling rubbish The pie charts show what percentage of household rubbish is recycled in different countries. Key % of rubbish recycled % of rubbish not recycled England Germany Norway Spain (a) In England, about what percentage of rubbish is recycled?... % Hertfordshire La Schools 2

13 (b) England wants to recycle 30% of rubbish by the year 200. Which countries already recycle more than 30% of their rubbish? Spinners On each spinner write five numbers to make the statements correct. It is certain that you will get a number less than 6 It is more likely that you will get an even number than an odd number. Hertfordshire La Schools 3

14 It is impossible that you will get a multiple of 3 3. Survey Carlos and Mary each did a survey. (a) Carlos asked people: Have you ever been to North America? The percentage bar chart shows his results. No Yes 0% 20% 40% 60% 80% 00% 40 people said No. How many people said Yes?... people Hertfordshire La Schools 4

15 (b) Mary asked 0 people: Would you like to go to South America? Results: 5 of the 0 people said No. 4 of the 0 people said Don t know. of the 0 people said Yes. Complete the percentage bar chart to show these results. 0% 20% 40% 60% 80% 00% 2 marks 4. Coordinates Look at the graph. y A C 2 B (2, 2) x Hertfordshire La Schools 5

16 (a) Write down the coordinates of points A and C. A is (, ) C is (, ) (b) Point D can be marked so that ABCD is a rectangle. Mark point D accurately on the graph. Hertfordshire La Schools 6

17 5. Babies The lengths of babies are measured at different ages. The graph shows the longest and shortest a baby boy is likely to be. 80 longest baby boy shortest baby boy Length (cm) Age (weeks) (a) Write the missing numbers below. A baby boy is 8 weeks old. The longest he is likely to be is about... cm. The shortest he is likely to be is about... cm. Hertfordshire La Schools 7

18 (b) A 34 week old baby boy is 72 cm long. Put a cross on the graph to show this information. 6. Patterns I have a square grid and two rectangles. grid two rectangles I make a pattern with the grid and the two rectangles: The pattern has no lines of symmetry. (a) Put both rectangles on the grid to make a pattern with only one line of symmetry. You must shade the rectangles. Hertfordshire La Schools 8

19 (b) Put both rectangles on the grid to make a pattern with rotation symmetry of order 2 You must shade the rectangles. Hertfordshire La Schools 9

20 Hertfordshire La Schools Fraction wall Look at the fraction diagram Write the missing numbers in the boxes below. = 6 2 = 6 3 = 4 6

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22 8. Jo places equilateral triangles in straight lines to make this sequence. shape number shape number 2 shape number 3 shape number 4 Hertfordshire La Schools 22

23 (a) Which word below describes shape number 3? Put a ring round it. parallelogram rhombus pentagon trapezium Hertfordshire La Schools 23

24 (b) Look at the table below. Shape number Perimeter 3cm 2 4cm 3 5cm 4 6cm Jo makes shape number 5 What is the perimeter of shape number 5?... cm Hertfordshire La Schools 24

25 9. Grid shapes The diagram shows some shapes on a 0 by 6 square grid. A B C D E Hertfordshire La Schools 25

26 (a) Which two shapes have the same area as shape A?... Hertfordshire La Schools 26

27 (b) Which two shapes have the same perimeter as shape A?... Hertfordshire La Schools 27

28 (c) How many of shape C would you need to cover a 0 by 6 square grid?... Hertfordshire La Schools 28

29 20. Matchboxes The diagram shows a matchbox. Its length is 5.3 cm. Its width is 3.6 cm. Its height is.5 cm..5 cm 3.6 cm Not drawn accurately 5.3 cm Hertfordshire La Schools 29

30 (a) I join two matchboxes in different ways. Fill in the missing values. length = cm width = cm height = cm Hertfordshire La Schools 30

31 (b) I start joining matchboxes like this: How many matchboxes will be in the pile when its height is 2 cm? Measuring Steve needs to put litre of water in a bucket. He has a 500 ml jug. Hertfordshire La Schools 3

32 Explain how he can measure litre of water. Hertfordshire La Schools 32