- 1. Factorise the quadratic expression: 25 - x2
A) x (5 - x)
B) (5 - x) (5 - x)
C) (x - 5) (x + 5)
D) (5 - x) (5 + x)
E) 5 (5 - x)
- 2. Simplify the algebraic fraction: 4ab2/8ab
A) b/2
B) 4ab/8a
C) b/2a
D) 2ab
E) 4/ab
- 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) 1.75
B) 2.0
C) 1.0
D) 1.25
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) 70
B) 120
C) 110
D) 105
E) 100
- 5. Find the measure of the angle A.
A) 30o
B) 40o
C) 45o
D) 50o
E) 60o
- 6. Find the solutions of this equation: x2 - 12x + 20 = 0
A) x1 = -2 and x2 = -10
B) x1 =2 and x2 = 18
C) x1 = 4 and x2 = 5
D) x1 = 2 and x2 = 10
E) x1 = -4 and x2 = -5
- 7. Convert this decimal into a fraction: 0.4123123123…
A) 412/999
B) 1373/3330
C) 4123/9990
D) 4123/9999
E) 4123/10000
- 8. A pen is 5 inches long. How many centimetres has the pen ? (Round your answer to nearest centimetre)
A) 13 cm
B) 11 cm
C) 12 cm
D) 10 cm
E) 5 cm
A) -2/81
B) 2/81
C) -18
D) 1/9
E) 1/3
- 10. Find the gradient of the line: 2y + 6x = 10
A) 5
B) -3
C) 3
D) -5
E) 10
- 11. Find the vector that takes you from A to O (O is at the centre of the rectangle)
A) a - b
B) 2a + 1/2b
C) 1/2a + 2b
D) 1/2a + 1/2b
E) 1/2a - 1/2b
- 12. Find the reciprocal of 5
A) 4/5
B) 5/1
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) 63000
B) 60000
C) 59000
D) 51000
E) 55000
- 14. Calculate without using calculator: 1248 ÷ 52
A) 34
B) 24
C) 28
D) 26
E) 22
- 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) £24.50
B) £30.75
C) £29.10
D) £32.40
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) 100
B) 20
C) 75
D) 80
E) 40
- 17. Find answer to the above division.
A) 1 2/5
B) 8 1/2
C) 3 1/5
D) 4 1/4
E) 8 3/4
- 18. Change to a decimal 3/8
A) 0.375
B) 0.388
C) 0.395
D) 0.385
E) 0.355
- 19. Find the nth term of the following sequence:
6, 11, 16, 21, 26, ...
A) 5n + 6
B) n + 5
C) 5n - 1
D) 5n + 1
E) 5n - 6
- 20. Rationalise the denominator of the above expression.
A) √12
B) 2√6
C) 6√2
D) 2√2
E) √6
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