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Ma KEY STAGE Mathematics tests 2 LEVEL 6 Paper 1 Calculator not allowed First name 2012 Middle name Last name Date of birth Day Month Year School name DfE number Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Cleo 02 Sourced from SATs-Papers.co.uk Jon Runa http://www.SATs-Papers.co.uk Instructions You may not use a calculator to answer any questions in this test paper. • Work as quickly and as carefully as you can. • You have 30 minutes for this test paper. • If you cannot do one of the questions, go on to the next one. You can come back to it later, if you have time. • If you ﬁnish before the end, go back and check your work. Follow the instructions for each question carefully. This shows where you need to put the answer. If you need to do working out, you can use any space on a page. Some questions have an answer box like this: Show your working For these questions you may get a mark for showing your working. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 03 1 Jon makes a sequence of numbers. His rule is to add the same amount each time. Write in the missing numbers. –1 2 19 (1 mark) Here is a spinner. It is a regular octagon. Write a number in each section of the spinner so that all of the following statements are true: It is impossible that you will get a 1 There is an even chance that you will get a 2 It is more likely that you will get a 3 than a 4 It is equally likely that you will get a 4 or a 5 04 Sourced from SATs-Papers.co.uk (2 marks) http://www.SATs-Papers.co.uk 3 Write the missing number. Original price £60 Reduced by % Now only £45 (1 mark) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 05 4 Here is a T-shape made from 3 identical rectangles. 2 The area of the T-shape is 90cm 12cm Not to scale x cm Work out the value of x. Show your working cm 06 Sourced from SATs-Papers.co.uk (2 marks) http://www.SATs-Papers.co.uk 5 Runa and Jon each start with the same number. Runa rounds the number to the nearest hundred. Jon rounds the number to the nearest ten. Runa’s answer is double Jon’s answer. Explain how this can be. (1 mark) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 07 6 People in a village were asked if they shop in the village, or in the town, or in both. The bar chart shows the results. 197 200 152 Number of people 100 0 Village Town Altogether 246 people took part in the survey. How many people shop in both the village and the town? Show your working people 08 Sourced from SATs-Papers.co.uk (2 marks) http://www.SATs-Papers.co.uk 7 Is 4 greater than 1 ? 9 3 Circle Yes or No. Yes / No Show how you know. 8 4 Is 9 half of 18 ? (1 mark) Circle Yes or No. Yes / No Show how you know. (1 mark) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 09 8 How fast you can type accurately is called your typing speed. The regions of the graph show information about different typing speeds. Intermediate 1000 800 Elementary Advanced Number of words 600 400 Beginner 200 0 0 5 10 15 20 25 30 Number of minutes Darren’s level of typing is elementary. In 20 minutes he should be able to type between 500 and 700 words. Jo’s level of typing is intermediate. How many words should she be able to type in 20 minutes? 10 Between _______________ and _______________ Sourced from SATs-Papers.co.uk (1 mark) http://www.SATs-Papers.co.uk Kath’s typing speed is 30 words per minute. What level is Kath’s typing? Advanced Intermediate Elementary Beginner Explain how you know. (1 mark) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 11 9 Look at this expression. 10y + 2 When y = 0.4, the value of 10y + 2 is an even number because 10 × 0.4 + 2 = 6 Write a value for y so that 10y + 2 is a prime number. y= (1 mark) Now write a value for y so that 10y + 2 is a square number. 12 Sourced from SATs-Papers.co.uk y= (1 mark) http://www.SATs-Papers.co.uk 10 Cleo has 24 centimetre cubes. She uses all 24 cubes to make a cuboid with dimensions 6cm, 2cm and 2cm. Write the dimensions of a different cuboid she can make using all 24 cubes. _______________ cm, _______________ cm and _______________ cm (1 mark) Jon has 20 centimetre cubes. He wants to make a cube with edges that are 3cm long. How many more centimetre cubes does he need? Sourced from SATs-Papers.co.uk more (1 mark) http://www.SATs-Papers.co.uk 13 11 Look at the information in these two pie charts. Pupils in class 6K Key: Girls Boys Girls in class 6K Key: 11 years old Not 11 years old Use the information in the two pie charts to complete the pie chart below. Pupils in class 6K Key: 11 year-old girls All other pupils in the class (1 mark) 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 12 Look at this information. Tom was born in 1988 Ben was born in 2000 Tom and Ben have the same birthday. The ratio of Tom’s age to Ben’s age on their birthday in 2001 was 13 : 1 What was the ratio of Tom’s age to Ben’s age on their birthday in 2003? Write the ratio in its simplest form. : (1 mark) In what year was the ratio of Tom’s age to Ben’s age 3 : 1? Show your working (2 marks) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 15 13 The grid below is made of right-angled triangles like this: 5cm 3cm 4cm Shade triangles on the grid to make a quadrilateral. Your quadrilateral must have an area of 24cm2 and a perimeter of 26cm. 4cm 3cm (2 marks) 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 14 The diagram shows part of a number line. Two of the fractions are not complete. Write the missing numerator in each box. 2 3 5 1 2 Sourced from SATs-Papers.co.uk 1 10 3 3 4 20 (2 marks) http://www.SATs-Papers.co.uk 17 END OF TEST 18 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk [BLANK PAGE] Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 19 © Crown copyright 2012 STA/12/5684 (Pupil pack) STA/12/5686 (Mark scheme pack) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk