- 1. Factorise the quadratic expression: 25 - x2
A) 5 (5 - x) B) (x - 5) (x + 5) C) x (5 - x) D) (5 - x) (5 + x) E) (5 - x) (5 - x)
- 2. Simplify the algebraic fraction: 4ab2/8ab
A) b/2a B) 4/ab C) 4ab/8a D) b/2 E) 2ab
- 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) 1.25 B) 1.75 C) 1.0 D) 2.0 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) 70 B) 100 C) 110 D) 105 E) 120
- 5. Find the measure of the angle A.
A) 50o B) 45o C) 60o D) 40o E) 30o
- 6. Find the solutions of this equation: x2 - 12x + 20 = 0
A) x1 = 2 and x2 = 10 B) x1 = 4 and x2 = 5 C) x1 =2 and x2 = 18 D) x1 = -4 and x2 = -5 E) x1 = -2 and x2 = -10
- 7. Convert this decimal into a fraction: 0.4123123123…
A) 4123/9999 B) 412/999 C) 1373/3330 D) 4123/9990 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) 5 cm D) 10 cm E) 12 cm
A) 2/81 B) -18 C) 1/9 D) -2/81 E) 1/3
- 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) 1/2a - 1/2b B) 1/2a + 2b C) 1/2a + 1/2b D) a - b E) 2a + 1/2b
- 12. Find the reciprocal of 5
A) 0.25 B) 4/5 C) 1/5 D) 25 E) 5/1
- 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) 59000 B) 60000 C) 55000 D) 51000 E) 63000
- 14. Calculate without using calculator: 1248 ÷ 52
A) 34 B) 22 C) 26 D) 28 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) £30.75 B) £29.10 C) £24.90 D) £24.50 E) £32.40
- 16. S is directly proportional to t2, when S = 16, t =2. What is the value of S when t = 5 ?
A) 75 B) 20 C) 40 D) 80 E) 100
- 17. Find answer to the above division.
A) 8 3/4 B) 4 1/4 C) 8 1/2 D) 1 2/5 E) 3 1/5
- 18. Change to a decimal 3/8
A) 0.375 B) 0.395 C) 0.355 D) 0.388 E) 0.385
- 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) 2√6 B) √6 C) 6√2 D) 2√2 E) √12
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