GCSE Foundation Maths Diagnostic Test

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 GCSE foundation maths diagnostic test
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. 

      120

    • B. 

      210

    • C. 

      96

    • D. 

      175

    • E. 

      140


  • 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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