GCSE Foundation Maths Diagnostic Test
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Mathematics diagnostics test exists to provide a profile of your mathematical strengths and weaknesses. Depending on your school, it may be used to assign you to a particular mathematics course or tutorial group or to determine whether you need to revise a particular topic. You need to get at least 14 questions correct to ensure that you are about to get a grade C at GCSE Math on the foundation paper. Give it your best shot and good luck!
- 1.
- 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 ?]( "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) work out the mode b) work out the mean")
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]( "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) 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]( "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]( "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) 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) 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]( "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.]( "Work out the volume of the prism.")
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?]( "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.
- 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 ?]( "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.
- 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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