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GCSE
Mathematics
Practice Tests:
Set 13
Paper 1F (Non-
calculator)
Time: 1 hour 30 minutes
You should have: Ruler graduated in centimetres and
millimetres, protractor, pair of compasses, pen, HB
pencil, eraser, calculator. Tracing paper may be used.
Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided
- there may be more space than you need. Calculators may not be used.
Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out. Information The total mark for this paper is 80 The marks for each question are shown in brackets
- use this as a guide as to how much time to spend on each question. Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end. P59010A © Pearson Education Ltd.
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2 At 6 p.m., the temperature in Victoria’s garden was 5 °C. By midnight, the temperature in Victoria’s garden had fallen by 9 °C. ( a ) Work out the temperature in Victoria’s garden at midnight. ......................................................°C (2) Here is a list of 7 temperatures. 4 °C −6 °C 4 °C 0 °C −1 °C −7 °C −5 °C ( b ) For the 7 temperatures in the list, (i) write down the mode, ......................................................°C (1) (ii) find the median. ......................................................°C (2) (Total for Question 2 is 5 marks) ___________________________________________________________________________
3 Here is a shape made from squares. ( a ) What fraction of this shape is shaded? ....................................................... (1) ( b ) Write as a mixed number. ....................................................... (1) ( c ) Write 0.23 as a fraction. ....................................................... (1) ( d ) Write as a decimal. ....................................................... (1) ( e ) Write these decimals in order of size. Start with the smallest decimal. 3.61 3.9 3.555 3.82 3. ..................................................................................................................................................... (1) (Total for Question 3 is 5 marks) ___________________________________________________________________________
4 Paul is buying a sandwich and a drink in a meal deal. He can have a cheese sandwich ( C ) or an egg sandwich ( E ) or a tomato sandwich ( T ). He can have orange juice ( O ) or milk ( M ) or water ( W ) to drink. Write down all the possible combinations Paul can buy. ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (Total for Question 4 is 2 marks) ___________________________________________________________________________
( a ) Write down the largest possible four digit number using all the digits that are in the box. ...................................................... (1) From the numbers in the circle, write down ( b ) a multiple of 6 ...................................................... (1) ( c ) a prime number ...................................................... (1) (Total for Question 5 is 3 marks) ___________________________________________________________________________
7 ( a ) Simplify 3 r × 5 t ...................................................... (1) ( b ) Solve 4 x + 5 = 27 x = ...................................................... (2) P = 7 w – 5 y ( c ) Find the value of P when w = 2 and y = 4 P = ...................................................... (2) Q = 2 u^2 − 5 ( d ) Find the value of Q when u = − Q = ...................................................... (2) (Total for Question 7 is 7 marks) ___________________________________________________________________________
9 ( a ) Write in figures the number seventy thousand, two hundred and sixteen. ....................................................... (1) ( b ) Write down a common factor of 20 and 30 ....................................................... (1) ( c ) Write down a square number that is between 20 and 40 ....................................................... (1) ( d ) Find the cube root of 3375 ....................................................... (1) ( e ) Write brackets in the following calculation so that the answer is correct. 42 – 6 ÷ 6 – 3 = 40 (1) (Total for Question 9 is 5 marks) ___________________________________________________________________________
10 ( a ) On the grid below, draw a kite. (1) ( b ) Write down the mathematical name of an 8-sided polygon. ...................................................... (1) Here is a solid prism. ( c ) (i) Write down the mathematical name of this prism. ...................................................... (ii) How many vertices does the prism have? ...................................................... (2) (Total for Question 10 is 4 marks) ___________________________________________________________________________
12 ( a ) Simplify k + k + k + k ....................................................... (1) f = 9 × 9 × 9 × 9 ( b ) (i) Write f as a single power of 9 ....................................................... (ii) Write f as a single power of 3 ....................................................... (2) ( c ) Write 5^17 × 5^2 as a single power of 5 ....................................................... (1) ( d ) Write 800 as a product of its prime factors. Show your working clearly. ................................................................................. (2)
(Total for Question 12 is 6 marks) __________________________________________________________________________
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14 ( a ) Expand e (3 e – 5) ....................................................... (1) ( b ) Factorise 35 + 5 f ....................................................... (1) ( c ) Simplify (4 pq^2 )^3 ....................................................... **(2) (Total for Question 14 is 4 marks)
15** Write down the integer values of x that satisfy the inequality −2 < x 4 .................................................................................. (Total for Question 15 is 2marks) ________________________________________________________________________
