- 1. Factorise the quadratic expression: 25 - x2
A) (5 - x) (5 - x) B) (5 - x) (5 + x) C) (x - 5) (x + 5) D) 5 (5 - x) E) x (5 - x)
- 2. Simplify the algebraic fraction: 4ab2/8ab
A) b/2a B) 2ab C) b/2 D) 4ab/8a 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) 1.25 C) 0.25 D) 2.0 E) 1.0
- 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) 40o B) 60o C) 45o D) 30o E) 50o
- 6. Find the solutions of this equation: x2 - 12x + 20 = 0
A) x1 = 4 and x2 = 5 B) x1 =2 and x2 = 18 C) x1 = -4 and x2 = -5 D) x1 = -2 and x2 = -10 E) x1 = 2 and x2 = 10
- 7. Convert this decimal into a fraction: 0.4123123123…
A) 4123/9990 B) 4123/10000 C) 4123/9999 D) 412/999 E) 1373/3330
- 8. A pen is 5 inches long. How many centimetres has the pen ? (Round your answer to nearest centimetre)
A) 10 cm B) 5 cm C) 12 cm D) 13 cm E) 11 cm
A) 1/9 B) -2/81 C) -18 D) 1/3 E) 2/81
- 10. Find the gradient of the line: 2y + 6x = 10
A) -3 B) 10 C) -5 D) 5 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) a - b C) 1/2a + 1/2b D) 1/2a + 2b E) 1/2a - 1/2b
- 12. Find the reciprocal of 5
A) 25 B) 4/5 C) 5/1 D) 0.25 E) 1/5
- 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) 51000 D) 55000 E) 59000
- 14. Calculate without using calculator: 1248 ÷ 52
A) 22 B) 24 C) 34 D) 28 E) 26
- 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) £29.10 B) £24.90 C) £32.40 D) £24.50 E) £30.75
- 16. S is directly proportional to t2, when S = 16, t =2. What is the value of S when t = 5 ?
A) 75 B) 40 C) 80 D) 20 E) 100
- 17. Find answer to the above division.
A) 8 1/2 B) 3 1/5 C) 1 2/5 D) 4 1/4 E) 8 3/4
- 18. Change to a decimal 3/8
A) 0.355 B) 0.385 C) 0.375 D) 0.388 E) 0.395
- 19. Find the nth term of the following sequence:
6, 11, 16, 21, 26, ...
A) 5n - 6 B) 5n + 6 C) n + 5 D) 5n + 1 E) 5n - 1
- 20. Rationalise the denominator of the above expression.
A) √6 B) 2√6 C) 2√2 D) 6√2 E) √12
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