- 1. Factorise the quadratic expression: 25 - x2
A) (5 - x) (5 - x)
B) 5 (5 - x)
C) (x - 5) (x + 5)
D) x (5 - x)
E) (5 - x) (5 + x)
- 2. Simplify the algebraic fraction: 4ab2/8ab
A) b/2a
B) 2ab
C) 4/ab
D) 4ab/8a
E) b/2
- 3. The table above shows heights of 30 students in a class. Calculate the frequency density for those pupils who are between 160 and 164 centimetres tall.
A) 2.0
B) 1.75
C) 1.25
D) 1.0
E) 0.25
- 4. In a different school 10 year 8 pupils are questionned for a survey. The total sample size of the survey is 70. There are 840 pupils in the school. How many pupils are there in year 8 ?
A) 110
B) 105
C) 120
D) 100
E) 70
- 5. Find the measure of the angle A.
A) 30o
B) 50o
C) 60o
D) 40o
E) 45o
- 6. Find the solutions of this equation: x2 - 12x + 20 = 0
A) x1 = -2 and x2 = -10
B) x1 = 2 and x2 = 10
C) x1 = 4 and x2 = 5
D) x1 =2 and x2 = 18
E) x1 = -4 and x2 = -5
- 7. Convert this decimal into a fraction: 0.4123123123…
A) 412/999
B) 4123/9999
C) 4123/10000
D) 1373/3330
E) 4123/9990
- 8. A pen is 5 inches long. How many centimetres has the pen ? (Round your answer to nearest centimetre)
A) 13 cm
B) 12 cm
C) 10 cm
D) 11 cm
E) 5 cm
A) 1/9
B) -18
C) 2/81
D) 1/3
E) -2/81
- 10. Find the gradient of the line: 2y + 6x = 10
A) 10
B) -5
C) 5
D) -3
E) 3
- 11. Find the vector that takes you from A to O (O is at the centre of the rectangle)
A) 2a + 1/2b
B) 1/2a + 2b
C) 1/2a - 1/2b
D) a - b
E) 1/2a + 1/2b
- 12. Find the reciprocal of 5
A) 5/1
B) 4/5
C) 0.25
D) 1/5
E) 25
- 13. Brookfield has a population of 30000 people. It is predicted that the population will increase by 7% each year. Work out the predicted population of Brookfield in 10 years' time. (Round your answer to nearest thousand)
A) 51000
B) 63000
C) 55000
D) 60000
E) 59000
- 14. Calculate without using calculator: 1248 ÷ 52
A) 28
B) 34
C) 26
D) 22
E) 24
- 15. The table above shows the amount of Jenny's gas bills from September 2001 to December 2002. Calculate the first value of the four-point moving average.
A) £32.40
B) £29.10
C) £30.75
D) £24.50
E) £24.90
- 16. S is directly proportional to t2, when S = 16, t =2. What is the value of S when t = 5 ?
A) 20
B) 100
C) 75
D) 40
E) 80
- 17. Find answer to the above division.
A) 1 2/5
B) 8 1/2
C) 8 3/4
D) 4 1/4
E) 3 1/5
- 18. Change to a decimal 3/8
A) 0.355
B) 0.388
C) 0.375
D) 0.385
E) 0.395
- 19. Find the nth term of the following sequence:
6, 11, 16, 21, 26, ...
A) 5n + 6
B) 5n - 1
C) n + 5
D) 5n - 6
E) 5n + 1
- 20. Rationalise the denominator of the above expression.
A) √12
B) 2√2
C) √6
D) 6√2
E) 2√6
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