# GCSE Foundation Maths Diagnostic Test

23 Questions  I  By Www.et-home.co.uk
You need to get at least 14 questions correct to insure that you are about to get a grade C at GCSE Maths on the foundation paper.

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 1 Use a word from the given list to complete the sentence.10 is   ______________  of  5.
 A. A factor
 B. Half
 C. A multiple
 D. A square root
 E. A square
 2 1) Give the coordinates of A and B                                                          2) N is at (-3,2) . M is another point.                   3) If x coordinate of M is the same as X coordinate of N and                   y coordinate of M is the same as Y coordinate of B, what is                   the coordinate of M ?
 A. (1) a is (3,3) (2) b is (0,4) (3) M is (-3, 4)
 B. (2) a is (3,3) (2) b is (4,0) (3) M is (-3, 0)
 C. (1) a is (3,3) (2) b is (0,4) (3) M is (-3, 0)
 D. (1) a is (3,3) (2) b is (0,-4) (3) M is (-3, -4)
 E. (1) a is (3,3) (2) b is (0,4) (3) M is (-3, 4)
 3 a)   work out the mode   b)  work out the mean
 A. A) 0 b) 2.8
 B. A) 5 b) 28
 C. A) 0 b) 30
 D. A) 0 b) 28
 E. A) 5 b) 2.8
 4 The correct proportions for a) the cow  b) the pig     on a pie chart are
 A. a) 1/4 b) 1/10
 B. a) 1/5 b) 1/ 10
 C. a) 1/5 b) 1/12
 D. a) 1/4 b) 1/ 60
 E. a) 1/4 b) 1/12
 5
 A. 34
 B. 25
 C. 22
 D. 23
 E. 24
 6 A) How long did it take Jamie to get to his friends house b) What was Jamies average speed ?
 A. A) 1/2 hr b) 60 km/hr
 B. A) 30mins b) 30 km/ hr
 C. A) 30 mins b) 20km/ hr
 D. A) 30 minutes b) 40 km/ hr
 E. A) 20 mins b) 40km/hr
 7 Work out the volume of this shape
 A. 27000 cm3
 B. 90000 cm3
 C. 2700 cm3
 D. 9000 cm3
 E. 9 litres
 8 work out the area of the triangle
 A. 60cm2
 B. 60cm3
 C. 30cm2
 D. 17cm
 E. Can't we don't know the third side
 9 A) describe the correlation b) a student has a mark of 30 on paper 2, what might he have on paper 1
 A. A) positive and strong b) 37
 B. A) positive and weak b) 44
 C. A) negative and weak b) 25
 D. a) negative and strong b) 37
 E. A) zero correlation b) 37
 10
 A. 3x + 5x
 B. 8 pounds
 C. God knows, I hate maths and I hate my teacher
 D. 5x + 3y
 E. 3x + 5y
 11 A) Lowest temperature is  b) Highest temperature is   c) range in temperature is
 A. A) 6 b) -5 c) 11
 B. A) 5 b) -6 c) -11
 C. A) -6 b) 5 c) 11
 D. A) -6 b) 5 c) -11
 E. A) very cold b) still cold c) still not warm enough im moving
 12 All sides are equal. a) x is    . Explain      b)  Y is     . Explain
 A. A) x = 60 . it looks it. b) Y= 120 . it looks it
 B. A) x = 60. AFB is equilateral b) Y = 120 . double 60.
 C. A) x =60 AFB is equilateral b) Y = 150 BFEC is square, 90 + 60
 D. A) x= 30 1/2 the angle b) Y= 145 100 + 45
 E. A) x = 60 AFB is isoceles b) Y = 150 BFEC is square, 90 + 60
 13 Work out the volume of the prism.
 A. 18cm3
 B. 121cm3
 C. 132cm3
 D. 66cm3
 E. 1000cm3
 14 Two triangles are congruent. a) which two  b) one triangle is both right-angled and isoceles. which one?
 A. A) B and G b) C
 B. A) E and G b) G
 C. A) B and C b) B
 D. A) F and D b) C
 E. A) A and D b) E
 15 Solve 9 -  2x = 3 (x +2)
 A. x = 3
 B. x = 3/5
 C. x = 0.2
 D. x = 5
 E. x = 0.1
 16 Work out 80 x  4/5
 A. 60
 B. 48
 C. 24
 D. 32
 E. 64
 17 9,  10,  25,  32,  49,   55,  69,  80a) write down two numbers with a sum of 57b) write down from the list a multiple of 8c) a square number
 A. a) 25 and 32 b) 25 c) 80
 B. a) 32 and 25 b) 32 c) 49
 C. a) 32 and 49 b) 80 c) 25
 D. a) 32 and 25 b) 25 c) 69
 E. A) 32 and 80 b) 25 c) 69
 18 A) Write 60% as a fraction ? b) Starting with the smallest, write the numbrs below in order of size 70% ,  3/4,  0.6,  2/3
 A. A) 3/5 b) 2/3, 0.6, 70%, 3/4
 B. A) 3/5 b) 0.6, 2/3, 70%, 3/4
 C. A) 6/100 b) 0.6, 2/3, 3/4, 70%
 D. A) 6/10 b) 2/3, 0.6 70%, 3/4
 E. A) 3/5 b) 0.6, 70%, 2/3 , 3/4
 19 A sequence is given as 3, 7, 11, 15 , __,  __,  __a) find the next three termsb) find the n-term rule for this sequencec) what is the 100th term of this sequence.
 A. a) 19, 22, 25 b) 3n + 1 c) 301
 B. a) 19, 24, 30 b) 4n + 1 c) 401
 C. A) 19, 23, 27 b) 4n -1 c) 399
 D. A) 19, 23, 28 b) 4n - 2 c) 398
 E. A) 19, 23, 28 b) 4n-1 c) 398
 20 Work out the area of the quadrilateral   PQRS ?
 A. 289 cm2
 B. 240 cm2
 C. 169 cm2
 D. 300cm2
 E. 68cm2
 21 Meg has a biased coin. The probability that it comes down heads is 0.4.Meg is going to spin the coin 350 times.Estimate the number of times it come down heads.
 A. 175
 B. 140
 C. 120
 D. 210
 E. 96
 22 On a map, 1 cm represents 2km. What distance on the map will represent a real distance ofa) 10km   b) 22km   c) 7km
 A. A) 5 cm b) 11cm c) 14cm
 B. A) 5cm b) 10cm c) 14 cm
 C. A) 20cm b) 44cm c) 14cm
 D. A) 5cm b) 11cm c) 3.5cm
 E. A) 5cm b) 11cm c) 7cm
 23 In a sale, all normal prices are reduced by 15%.Normal price of a Jacket is £42John buys the jacket in the sale.Work out the sale price of the jacket.
 A. £ 32.50
 B. £ 38.40
 C. £ 40.50
 D. £ 36.50
 E. £35.70
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