[PDF] 2001 Key Stage 2 Year 6 - Mathematics Test C Level 6.pdf | Plain Text

CALCULATOR ALLOWED MATHEMATICS KEY STAGE 2 2001 TEST CLEVEL 6 First Name Last Name School PAGE 3 5 7 9 11 12 TOTAL MARKS

Instructions You may use a calculator to answer any questions in this test. Work as quickly and as carefully as you can. You have 30 minutes for this test. 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: For these questions you may get a mark for showing your method. Show your method. You may get a mark.

Formulae You might need to use these formulae in this test. Volume e area of cross-section t length Trapezium Prism (a+b) 2 2 t h Area = 2 e

This number sequence follows the rule ‘subtract 10, then divide by 10’ Write the two numbers missing from the sequence. Write two decimals, each less than 1, which multiply to make 0.1 1 120 11 0.1 t = 0.1 2 1 mark 2 3 1 mark 1a 1 mark 1b 1 mark This four digit number is a square number. Write in the missing digits. 3 2

Total 4 m seconds 4a 1 mark 4b 1 mark This is a graph of a firework rocket, showing its height at different times. Estimate from the graph for how many seconds the rocket is more than 20 metres above the ground. Estimate from the graph how many metres the rocket falls in the last second of its flight. 3

5 The diagram shows two shaded equilateral triangles. Calculate the size of the angle x and angle y. Do not use a protractor (angle measurer). 6 Find the value of u in this equation. 7+4 u =70–3 u 6 2 marks x = y = Not to scale 5b 1 mark OO 5a 1 mark 4 Show your method. You may get a mark.

Total 7 % 7b 2 marks 7a 2 marks The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each year. Use this information to calculate the percentage increase in the population over a year. Mike says, ‘An increase of 93 million people each year is more than 170 people each minute’. Show that he is correct. 5 Show your method. You may get a mark.

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa number of number of octagons (n) squares (q) 14 27 310 413 8b 1 mark 8a 2 marks 8 Here is a sequence of patterns made from octagons and squares. The sequence continues. How many squares will there be in the pattern that has 40 octagons? q represents the number of squares. n represents the number of octagons. What is the rule connecting q and n? 6 Show your method. You may get a mark.

Total 9 A cuboid has a square base. It is twice as tall as it is wide. Its volume is 250 cubic centimetres. Calculate the width of the cuboid. cm 9 2 marks Not actual size 7 Show your method. You may get a mark.

Not actual size 10 cm 2 The diagram shows 4 identical shaded triangles in a rectangle. The rectangle measures 36 centimetres by 24 centimetres. Calculate the area of one shaded triangle. 10 2 marks 8 Show your method. You may get a mark.

Total 11 The sum of P and Q is a multiple of 6 The difference between P and Q is a multiple of 3 The product of P and Q is a multiple of 9 11 2 marks always sometimes never true true true The diagram shows the graph of y = x – 7 Write the coordinates of one point on the line between A and B. 12 (,) 12 1 mark P stands for a multiple of 3 Q stands for a different multiple of 3 Tick (
) each statement according to whether it is always true, sometimes true or never true. 9

13 13 2 marks Carol counts the matches in 10 boxes. She works out that the mean number of matches in a box is 51 Here are her results for 9 boxes. Calculate how many matches are in the 10 th box. 10 Show your method. You may get a mark.

Total 14 The diagram shows 6 shaded squares. K is the point ( 20, 1 0 ) What are the coordinates of L and M? (,) L is (,) 14b 1 mark 14a 1 mark M is 11

Total 15 In a survey, the ratio of the number of people who preferred milk chocolate to those who preferred plain chocolate was 5 : 3 46 more people preferred milk chocolate, to plain chocolate. How many people were in the survey? 15 2 marks 12 Show your method. You may get a mark.

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© Qualifications and Curriculum Authority 2001 QCA key stage 2 team, 83 Piccadilly, London W1J 8QA Order refs: QCA/01/702 (Pupil pack) QCA/01/695 (Mark schemes pack) 00-6579/4