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Ma Mathematics test KEY STAGE 3 TIER 3–5 Paper 1 Calculator not allowed _______________________________________________ Last name _______________________________________________ School 2008 First name _______________________________________________ Remember The test is 1 hour long. You must not use a calculator for any question in this test. You will need: pen, pencil, rubber, ruler, tracing paper and mirror (optional). This test starts with easier questions. Try to answer all the questions. Write all your answers and working on the test paper – do not use any rough paper. Marks may be awarded for working. Check your work carefully. Ask your teacher if you are not sure what to do. For marker’s use only Sourced from SATs-Papers.co.uk 282667_p1_35.indd 1 TOTAL MARKS http://www.SATs-Papers.co.uk 3/12/07 11:39:41 am Instructions Answers This means write down your answer or show your working and write down your answer. Calculators You must not use a calculator to answer any question in this test. KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 2 2 http://www.SATs-Papers.co.uk 3/12/07 11:39:42 am Symbols 1. Look at these symbols. = × ÷ Choose two of the symbols to make a correct calculation. 12 3 4 1 mark Now choose two of the symbols to make a different correct calculation. 12 3 4 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 3 3 http://www.SATs-Papers.co.uk 3/12/07 11:39:42 am Rhino crisis 2. Look at the table. Type of rhino Wild population Captive population Black rhino (B) 3100 250 White rhino (W) 11 670 780 African rhino (A) 14 770 1030 Indian rhino (I) 2400 140 Javan rhino (J) 60 0 Use the information to answer these questions. (a) Which type of rhino is most common in the wild population? 1 mark (b) How many more Black rhinos than Indian rhinos are there in the captive population? 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 4 4 Source: International Rhino Foundation http://www.SATs-Papers.co.uk 3/12/07 11:39:43 am (c) The pie chart below shows the captive population. Write the missing letters on the pie chart. One is done for you. B 1 mark (d) One type of rhino is not on the pie chart. Explain why. 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 5 5 http://www.SATs-Papers.co.uk 3/12/07 11:39:43 am Units 3. Here are six different units of length. kilometres metres centimetres miles feet inches Write the two units that best complete the sentences below. A girl is 12 years old. Her height is about 1.5 1 mark Her height is about 5 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 6 6 http://www.SATs-Papers.co.uk 3/12/07 11:39:43 am Sports 4. The bar chart shows the number of pupils in class A who go to running club and tennis club. Running Tennis 0 2 4 6 8 10 12 14 16 Number of pupils in class A In class B: Twice as many pupils go to running club as in class A. Half as many pupils go to tennis club as in class A. Complete the bar chart to show this information for class B. Running Tennis 2 marks 0 2 4 6 8 10 12 14 16 Number of pupils in class B KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 7 7 http://www.SATs-Papers.co.uk 3/12/07 11:39:44 am Euro 5. Countries that use euros have these notes. (a) Show different ways of paying 400 euros. The ﬁrst way is done for you. two 200 euro notes 100 euro notes 400 euros 50 euro notes 10 euro notes 2 marks KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 8 8 http://www.SATs-Papers.co.uk 3/12/07 11:39:44 am (b) A woman has four notes. The notes total one thousand euros. What notes does she have? Write the value of each one. euros euros euros euros 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 9 9 http://www.SATs-Papers.co.uk 3/12/07 11:39:45 am Shape statements 6. Look at the shaded shape drawn on the square grid. For each statement below, tick ( ) True or False. True False The shape is a quadrilateral. The shape is a square. The shape has one line of symmetry. The shape has no right angles. 2 marks KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 10 10 http://www.SATs-Papers.co.uk 3/12/07 11:39:45 am Anniversaries 7. People who have been married for many years have special anniversaries. Number of years they have been married 25 years Silver 50 years Golden 60 years (a) Special anniversary Diamond Betty and Stan were married in 1952. In what year was their golden anniversary? 1 mark (b) Lyn and Chris had their silver anniversary in 1985. In what year were they married? 1 mark (c) Jean and Peter had their diamond anniversary in 1997. In what year was their golden anniversary? 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 11 11 http://www.SATs-Papers.co.uk 3/12/07 11:39:45 am Calculations 8. Work out the following. 1706 + 185 1 mark 576 – 83 1 mark 65 × 9 1 mark 154 ÷ 7 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 12 12 http://www.SATs-Papers.co.uk 3/12/07 11:39:46 am Number line 9. Here is a number line. –5 –4 –3 –2 –1 0 1 2 3 4 5 It can help you work out the answers to the calculations below. The ﬁrst one is done for you. –3 + 1 = –2 –4 + 1 = 1 mark –2 + 5 = 1 mark 3 – 5 = 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 13 13 http://www.SATs-Papers.co.uk 3/12/07 11:39:46 am Competition 10. 8 people took part in a chess competition. The diagram shows how many games each person won, and how many games each person lost. 6 B A 4 C Number of games lost H 2 D E 0 0 F G 2 4 6 Number of games won (a) Who won the most games? Write the person’s letter. 1 mark (b) How many games were won by person A? 1 mark (c) Each person played 7 games. Each game was won, lost or drawn. How many of person D’s games were drawn? 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 14 14 http://www.SATs-Papers.co.uk 3/12/07 11:39:46 am Eight times, Adding 11. Write the missing numbers in the boxes. 8 × = 800 1 mark 0.8 × = 8 1 mark 12. Look at the calculation below. Write the correct digits in the boxes. 4 3 + 2 8 = 7 5 2 marks KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 15 15 http://www.SATs-Papers.co.uk 3/12/07 11:39:47 am Grid patterns 13. On the square grid below, some squares are shaded to make a pattern with exactly 4 lines of symmetry. (a) On the square grid below, shade some squares to make a pattern with exactly 2 lines of symmetry. 1 mark (b) On the square grid below, shade some squares to make a pattern with exactly 1 line of symmetry. 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 16 16 http://www.SATs-Papers.co.uk 3/12/07 11:39:47 am Think of a number 14. (a) Henry thinks of a number between 1 and 20 He thinks of the number 12 For each question below, tick ( ) Yes or No for Henry’s number. Yes No Is it an even number? Is it a multiple of 3? Is it a factor of 18? 1 mark (b) Ashraf also thinks of a number between 1 and 20 The table shows information about his number. Yes No Is it an even number? Is it a multiple of 3? Is it a factor of 18? What is Ashraf’s number? 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 17 17 http://www.SATs-Papers.co.uk 3/12/07 11:39:48 am Dial 15. 6 Look at the dial. 5 7 4 0 1 3 2 The pointer starts at 0 and turns clockwise around the centre. (a) Which number does it point to after turning clockwise through 90° ? 1 mark (b) The pointer turns clockwise from 3 to 6 Through how many degrees does it turn? ° 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 18 18 http://www.SATs-Papers.co.uk 3/12/07 11:39:48 am Temperatures 16. The table shows the temperatures in 10 cities on a day in December. City Athens 18 Barcelona 16 Berlin 7 Brussels 8 Dublin 9 Geneva 6 Madrid 12 Moscow 2 Paris 6 Rome (a) Temperature in °C 19 Which temperature was the mode? °C 1 mark (b) In a different city, the temperature was 5°C lower than in Moscow. What was the temperature in this city? °C 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 19 19 http://www.SATs-Papers.co.uk 3/12/07 11:39:48 am Making ten, Decimals 17. Write two numbers that add to 10 One of the numbers must be positive. The other number must be negative. + 18. = 10 1 mark Work out the following. 1.2 × 6 1 mark 1.2 ÷ 6 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 20 20 http://www.SATs-Papers.co.uk 3/12/07 11:39:49 am Six cubes 19. Each shape in this question is made from six cubes. Look at this shape. Which two of the diagrams below show the same shape? Tick ( ) them both. 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 21 21 http://www.SATs-Papers.co.uk 3/12/07 11:39:49 am Duckweed 20. Duckweed is a plant that grows in water. Pupils added different amounts of salt to three identical containers of water. In each container they put some duckweed plants. Then they recorded the number of leaves on the plants every day. Results: 60 Container A 50 40 Number of 30 leaves Container B 20 Container C 10 0 1 3 5 7 9 11 13 15 17 19 Day Key: A: No salt B: Small amount of salt C: Large amount of salt KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 22 22 http://www.SATs-Papers.co.uk 3/12/07 11:39:50 am (a) How many leaves were in each container on day 1? 1 mark (b) In container A, how many more leaves were there on day 19 than on day 1? 1 mark (c) Duckweed plants with no leaves are dead. On which day did the pupils record that the plants in container B were dead? Day 1 mark (d) How did the amount of salt affect the change in the number of leaves? 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 23 23 http://www.SATs-Papers.co.uk 3/12/07 11:39:50 am Substituting, Boxes 21. Write numbers in the boxes to make the statements true. When x = x+3= When x = then 3x = When x = 22. then then x= 3 2 marks Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there? 2 marks KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 24 24 http://www.SATs-Papers.co.uk 3/12/07 11:39:50 am Coordinates 23. Look at the square drawn on the graph. y ( 5, 6 ) A Not drawn accurately ( 1, 2 ) 0 x Point A is the centre of the square. What are the coordinates of point A? A is ( , ) 2 marks KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 25 25 http://www.SATs-Papers.co.uk 3/12/07 11:39:51 am 1 3 2 times table 24. (a) Write the correct numbers in the gaps below. 1 × 3 1 = 2 3 1 2 2 × 3 1 = 2 7 3 × 3 1 1 = 10 2 2 4 × 3 1 = 2 1 mark 5 × 3 1 = 2 1 mark 6 × 3 1 = 21 2 Use the table to help you work out this calculation. 60 × 3 1 = 2 1 mark KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 26 26 http://www.SATs-Papers.co.uk 3/12/07 11:39:51 am Solving (b) Is the answer to 11 × 3 Yes 1 a whole number? 2 No Explain your answer. 1 mark Find the values of x 25. 5x – 3 = 12 x= 1 mark 13 + 2x = 3 x= KS3/08/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 27 1 mark 27 http://www.SATs-Papers.co.uk 3/12/07 11:39:52 am END OF TEST © Qualifications and Curriculum Authority 2008 Sourced from SATs-Papers.co.uk 282667_p1_35.indd 28 QCA/08/3287 (Pupil pack) QCA/08/3286 (Mark scheme pack) http://www.SATs-Papers.co.uk 282667 3/12/07 11:39:52 am