# Wednesday 13 June 2012 Morning

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2 2 Formulae Sheet: Foundation Tier a Area of trapezium = 1 2 (a + b)h h b Volume of prism = (area of cross-section) length crosssection length PLEASE DO NOT WRITE ON THIS PAGE

3 1 (a) What is the mathematical name of this shape? 3 (a) [1] (b) What type of triangle is this? Put a ring around the correct answer. Equilateral Isosceles Scalene [1] (c) What is the mathematical name of this solid? (c) [1] Turn over

4 2 Find the missing numbers. 4 (a) 7 = 21 (a) = [1] (b) 6 + = 12 (b) = [1] (c) 29 = 11 (c) = [1] (d) 42 = 6 (d) = [1]

5 3 (a) Write down a factor of 6. 5 (a) [1] (b) Write down two multiples of 50. (b) and [1] (c) Write down a prime number between 20 and 30. (c) [1] 4 Choose a word from this list to complete each of the sentences below. likely impossible unlikely certain evens (a) It is to snow somewhere in Britain in January. [1] (b) It is for you to walk to the Moon. [1] (c) It is that you will roll a number less than four on an ordinary dice. [1] Turn over

6 5 Enlarge the shape below with a scale factor of 3. The bottom line has been drawn for you. 6 [3]

7 6 (a) Round 27 to the nearest ten. 7 (a) [1] (b) Round to 2 significant figures. (b) [1] (c) Calculate Give your answer correct to 2 decimal places. (c) [2] Turn over

8 7 (a) Here are the first four terms of a sequence (i) What is the next term of the sequence? (a)(i) [1] (ii) Explain how you worked out your answer. [1] (b) Here is the rule to find the next term of another sequence. double the previous term then add four The first term of the sequence is 6. Find the next term. (b) [2]

9 8 This table shows the number of medals won by some countries in athletics events in the 2008 Olympic Games. 9 Country Medals USA 23 Russia 18 Kenya 14 Jamaica 11 Belarus 7 Great Britain 4 Draw a bar chart to represent this data. Number of medals USA Russia Kenya Country Jamaica Belarus Great Britain [3] Turn over

10 10 9 (a) Write 2 5 as a decimal. (a) [1] (b) Calculate. (i) 3 of 48 8 (b)(i) [2] (ii) 1225 (ii) [1] (iii) 7 3 (iii) [1] (iv) 37% of 80 kg (iv) kg [2] (c) A pair of shoes cost 94. In a sale, the price is reduced by 18%. Calculate the sale price of the shoes. (c) [3]

11 11 10 This word formula can be used to convert kilometres to miles. Distance in miles = Distance in kilometres 1.6 Use the formula to convert (a) 120 kilometres to miles, (b) 37.5 miles to kilometres. (a) miles [1] (b) km [2] Turn over

12 12 11 (a) One afternoon the temperature was 2 C. By evening the temperature had fallen by 5 degrees. What was the temperature in the evening? (a) C [1] (b) What temperature is 4 degrees warmer than 1 C? (b) C [1]

13 12 Triangle A is drawn on the grid below. 13 y A R 1 S x (a) Reflect triangle A in the line RS. Label the image B. [1] (b) Translate triangle A by 5 2 Label the image C. [2] Turn over

14 14 13 (a) Work out the value of 3a 4b when a = 5.5 and b = 2. (a) [2] (b) Multiply out. y (2y 5) (b) [1] (c) Solve. 20x 4 = 100 (c) x = [2]

15 14* Bill is going on a journey. His van goes 15 miles per gallon of petrol. Petrol costs 1.37 per litre gallon is 4.5 litres. How much will the petrol cost for a journey of 360 miles? [5] Turn over

16 15 (a) Here is a circle, centre C. 16 D C (i) What is the mathematical name for the line CD? (a)(i) [1] (ii) Write X on the circumference of the circle. [1] (b) Parvinder has a bicycle. Each wheel has a diameter of 65.5 cm cm On one journey each wheel rotated 3509 times. Calculate the distance Parvinder cycled. Give your answer in kilometres. (b) km [4]

17 16 (a) Complete this table for y = 3x x y [1] (b) Plot these points on the grid and draw the graph of y = 3x 4. y x [2] (c) On your graph put a cross ( ) at the point where 3x 4 = 0. [1] Turn over

18 17 (a) Mrs Henley is going to the polling station to vote. She can walk (W), go by bus (B) or by taxi (T). There are 9 ways Mrs Henley could travel to and from the polling station. Complete the list. 18 To the polling station B From the polling station T [2] (b) Rashid carried out a survey outside a polling station. He asked 500 voters how they travelled to the polling station. His results are shown in the table below. Method of travel Bus Walk Motorbike Car Cycle Taxi Frequency Use these results to estimate the probability that the next person asked cycled to the polling station. (b) [2]

19 (c) In one constituency people voted in the 2010 general election. This pie chart summarises the results. 19 Other Labour Liberal Democrats Conservative (i) What fraction of the votes were for the Liberal Democrats? (c)(i) [1] (ii) How many people voted for the Liberal Democrats? (ii) [1] (iii) How many people voted Conservative? (iii) [3] Turn over

20 18 (a) Make a full-size drawing of the net of cuboid A on the centimetre grid below. One face has been drawn for you cm A 5 cm 2 cm (b) Cuboid B has dimensions 12 cm by 5 cm by 3 cm. Cuboid C has the same volume as cuboid B and a rectangular base measuring 4 cm by 5 cm. What is the height of cuboid C? [3] (b) cm [4]

21 21 19 (a) Write 600 as a product of its prime factors. (a) [3] (b) At Rumblestone Station northbound trains stop every 20 minutes and southbound trains stop every 16 minutes. Two trains stopped together at the station at Work out the next time when two trains will stop together at this station. (b) [3] Turn over

22 22 20 Jenny is doing a survey of the athletes at her club. (a) Here is one of her questions. How many competitions have you entered during the past 12 months? Make one criticism of this question. [1] (b) Jenny wants to find out how many hours the athletes train at the weekend. Write a suitable question for Jenny to use to find this out. Remember to include response boxes. [2]

23 (c) Jenny is a javelin thrower. Here is a summary of the lengths of 40 of Jenny s throws this year. 23 Length of throw (s metres ) Frequency 40 s < s < s < s < 64 5 Calculate an estimate of the mean length of her javelin throws. (c) m [4] 21 Rearrange v = u + 5t to make t the subject. [2] TURN OVER FOR QUESTION 22

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