General Certificate of Secondary Education Foundation Tier

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1 Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Pages 3 Mark General Certificate of Secondary Education Foundation Tier Mathematics (Linear) B Paper 2 Calculator Practice Paper 2012 Specification (Set 4) For this paper you must have: mathematical instruments a calculator. Time allowed 1 hour 45 minutes 4365/2F F Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Fill in the es at the top of this page. Answer all questions. You must answer the questions in the spaces provided. outside the around each page or on blank pages. Do all rough work in this book. Cross through any work that you do not want to be marked. 26 TOTAL Information The marks for questions are shown in brackets. The maximum mark for this paper is 105. The quality of your written communication is specifically assessed in Questions 2 and 20. These questions are indicated with an asterisk ( ). You may ask for more answer paper, tracing paper and graph paper. These must be tagged securely to this answer booklet. Advice In all calculations, show clearly how you work out your answer. 4365/2F

2 2 Formulae Sheet: Foundation Tier a Area of trapezium = 2 1 (a + b)h h b Volume of prism = area of cross-section length crosssection length

3 Answer all questions in the spaces provided. 3 1 A card is picked at random Complete each sentence using a word from this list. impossible unlikely evens likely certain It is. that the card will have a 5 on it. It is. that the card will have a 1 on it. It is that the card will have a 4 on it. It is that the card will have an odd number on it. (4 marks) Turn over for the next question Turn over 4

4 4 2 Menu Toast 99 p Cheese sandwich 1.99 Ham sandwich 2.49 Salad 1.80 Tea 90 p Coffee 1.10 Orange juice 1.50 Crisps 45 p 2 (a) Mark buys toast and coffee. How much does he pay? Answer *2 (b) Amy buys a ham sandwich, orange juice and crisps. She pays with a 5 note. How much change should she get? Answer (3 marks)

5 students choose a sport. Tennis Netball Tennis Football Tennis Netball Football Football Tennis Netball Football Tennis Tennis Football Tennis Tennis Netball Netball Tennis Netball 3 (a) Complete the table. Sport Tally Frequency Football Netball 6 Tennis Total = 20 (3 marks) 3 (b) Draw a bar chart for the data Frequency (3 marks) Turn over 11

6 4 6 Pattern 1 Pattern 2 Pattern 3 Pattern 4 4 (a) Complete this table. Pattern 1 Pattern 2 Pattern 3 Pattern 4 Number of shaded squares 1 4 (b) How many shaded squares are there in Pattern 6? Answer....

7 5 (a) Shade 25% of this grid. 7 (1 mark) 5 (b) What fraction of this grid is shaded? Circle the three correct answers Turn over

8 6 The mode of five numbers is 2. The median is 4. What could the five numbers be? 8 Answer (a) Use the numbers 2, 3, 4 and 5 to make the calculation work. = + 7 (b) Use the numbers 2, 3, 4 and 5 to make this calculation work. = 18

9 8 The average temperatures in a city on five days are shown. 9 Day Temperature ( o C) Monday 2 Tuesday 5 Wednesday 3 Thursday 0 Friday 6 8 (a) Which day was the warmest? Answer.... (1 mark) 8 (b) Which day was the coldest? Answer.... (1 mark) 8 (c) The difference between the average temperatures on Saturday and Sunday was 3 C. Saturday was 1 C warmer than Friday. Work out two possible temperatures on Sunday. Answer... C and... C 10 Turn over

10 9 (a) This L-shape is drawn on a centimetre grid. 10 Work out the area of the L-shape. Answer... cm 2

11 9 (b) On this centimetre grid, draw a rectangle with area 12 cm 2 and perimeter 14 cm. 11 Turn over for the next question Turn over 4

12 10 A team plays 10 matches. Here are the results. 12 Win Draw Loss Number of matches Draw a pie chart to represent the results.

13 11 (a) Shade two more circles to give this pattern symmetry in both mirror lines. 13 mirror line mirror line 11 (b) Shade four more circles to give this pattern symmetry in the mirror line. mirror line 6 Turn over

14 12 Estimate the length of this bus. State the units of your answer. 14 Answer... (4 marks) 13 I start with a number, add 3 then divide by 5. The answer is 9. What was the starting number? Answer... (3 marks)

15 15 14 Tins of soup are packed in a as shown. The cost of each tin is 46 p. Work out the cost of a full of tins. Answer... (4 marks) Turn over for the next question 11 Turn over

16 15 (a) Complete the table for y = 3x 2 16 x y (b) On the grid, draw the graph of y = 3x 2 for values of x from 3 to 3. y O x

17 16 Make an accurate drawing of this triangle using the scale 1 cm represents 50 m m 300 m 600 m The base line has been drawn for you. 1 cm represents 50 m (3 marks) 7 Turn over

18 17 1 = 1.15 Euro (a) Change 650 to Euros. Answer... Euros 17 (b) Change 184 Euros to Pounds. Answer A car travels 30 miles for each gallon of petrol. The fuel tank has 36 litres of petrol. How many miles can the car travel before it runs out of fuel? Answer miles (4 marks)

19 19 19 Laura makes 120 buns. She sells 75% of them for 80 pence each. She wants to make 90 from selling all the buns. For how much should she sell each of the remaining buns? Answer... pence (6 marks) Turn over for the next question 14 Turn over

20 20 *20 The perimeter of this rectangle is 43 cm. Not drawn accurately x 2 2x + 1 Set up and solve an equation to work out the value of x. Answer...cm (5 marks) 21 Sally wants to know whether students in her school can swim or not. She also wants to know whether they are boys or girls. Design a two-way table she can use to collect this information. (3 marks)

21 22 Solve 6x + 5 = x 21 x =... (3 marks) 23 Here is a linear sequence (a) Work out the rule for continuing the sequence. Answer (b) Work out the next number in the sequence. Answer... (1 mark) 14 Turn over

22 22 24 This regular pentagon is divided into five congruent triangles. Not drawn accurately x Work out the size of angle x. Answer... degrees (4 marks)

23 23 25 The table shows the heights of 250 trees in a wood. Height, h (metres) Frequency 0 < h < h < h < h < h (a) Which group contains the median height? Answer... (1 mark) 25 (b) Calculate an estimate for the mean height of the trees. Answer... metres (4 marks) 9 Turn over

24 24 26 (a) Work out the area of the trapezium. Not drawn accurately 65 cm 38 cm 80 cm Answer... cm 2

25 26 (b) Use your answer to part (a) to work out the volume of this prism cm 65 cm 110 cm 80 cm.. Answer... cm 3 Turn over for the next question 4 Turn over

Candidate Number. General Certificate of Secondary Education Foundation Tier January 2013

Candidate Number. General Certificate of Secondary Education Foundation Tier January 2013 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Foundation Tier January 2013 Pages 3 4 5 Mark Mathematics