WOODLANDS RING SECONDARY SCHOOL
1 Draw a number line from [pic] to [pic]. On the same number line, indicate the prime numbers
clearly with a dot ‘•’.
( ( (
0 1 2 3 4 5 [2]
……...correct range with arrow. (A1) ; prime numbers 2, 3 and 5. (A1)
2 Without using a calculator, estimate to the nearest whole number, the value of
(a) [pic], [pic] [pic]
(b) [pic]. [pic] [pic]
| |Ans: (a) _______39_________[1] |
| |Ans: (b) ________7_________[1] |
3 Round off
(a) 0.4087, to 2 decimal places,
(b) 1.5551, to 3 significant figures,
(c) 3 669, to 2 significant figures.
| |Ans: (a) ______0.41________[1] |
| |Ans: (b) ____1.56__________[1] |
| |Ans: (c) ____3700_________[1] |
4 (a) Arrange the following numbers in ascending order.
[pic], [pic], [pic], [pic]
(b) Arrange the following numbers in descending order.
[pic], [pic], [pic], [pic]
(c) Express [pic] as a recurring decimal.
| |Ans: (a) ___[pic], [pic], [pic], [pic]_______[1] |
| | Ans: (b) ___41, 7, -33, -51____________[1] |
| |Ans: (c) _______________[pic]____________[1] |
5 Evaluate the following using a calculator.
(a) [pic]
(b) [pic]
(c) [pic]
| |(a) [pic] = [pic] Ans: (a) ____[pic]_or [pic]____ [1] |
| |Ans: (b) __43.375 or [pic]_ [1] |
| | Ans: (c) ______8___________ [1] |
6 Factorise the following expressions completely.
(a) [pic],
(b) [pic].
(b) [pic] ………………..[pic] as the common group ……….[M1]
| |Ans: (a) ____[pic]___________ [1] |
| |Ans: (b) ___[pic]__[A1] [2] |
7 Given that [pic] and [pic] Find the value of [pic] in the following formulae.
(a) [pic] [pic]
(b) [pic]
(b) [pic] ……………………………correct substitution……….[M1]
[pic]
| |Ans: (a) y = __-5 _________ [1] |
| |Ans: (b) y = ___60 __[A1]__ [2] |
8 Find
(a) the LCM of 15 and 26,
b) the HCF of 21 and 84.
|2 |15, |26 | |3 |21, |84 | |
|3 |15, |13 |…….[M1] minimum of 2 steps |7 |7, |28 | |
|5 |5, |13 | | |1, |4 |…………….. [M1] |
|13 |1, |1 | | | | | |
| | | | | | | | |
LCM = 2 x 3 x 5 x 13 HCM = 3 x 7
| |Ans: (a) ______390_[A1]____[2] |
| |Ans: (b) _____21___[A1]____[2] |
9 Express each of the following ratios in its simplest form.
(a) [pic] : [pic] = [pic] : [pic]
(b) 0.180 : 0.09 = 0.180 x 1000 : 0.09 x 1000 = 180 : 90
(c) [pic]hours : 45 minutes = 100 mins : 45 mins …………………………...……[M1]
| |Ans: (a) ____5____ : ____9___ [1] |
| |Ans: (b) ____2____ : ____1___ [1] |
| |Ans: (c) __20___ : __9_[A1]__ [2] |
10 Express
(a) 25% as a fraction in its lowest terms,
(b) [pic] as a percentage, [pic]
(c) 0.5% as decimal, [pic]
(d) $42 as a percentage of $140. [pic] ……………………...…………..[M1]
| | Ans: (a) ______[pic]__________ [1] |
| |Ans: (b) ______40________% [1] |
| |Ans: (c) ______0.005_______[1] |
| |Ans: (d) _____30__[A1]___% [2] |
11 Evaluate the following without the use of calculator. Show your working clearly.
(a) [pic]
= [pic] = [pic] ………………..… correct LCM of 12 ……………….[M1]
= [pic]
| |Ans: (a) [pic] ___________[A1]___[2] |
(b) [pic]
= [pic] = [pic]
= [pic] …………………… invert term, [pic] ……….…….[M1]
| |Ans: (b) _______[pic]___[A1]____[2] |
12 Simplify the following algebraic expressions.
(a) [pic] = [pic]
(b) [pic]
(c) [pic]
(b) [pic] …………………………………….…………………………[M1]
(c) [pic] ………….…………show 8sn ………………...…….[M1]
| |Ans: (a) ____[pic]________[1] |
| |Ans: (b) ___[pic]___[A1] [2] |
| |Ans: (c) _____8sn____[A1]__[2] |
13 The bar chart shows the amount of money John saved over four months in 2008.
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(a) Find the total amount saved over the four months.
b) Find the ratio of amount saved in September to the amount saved in December. Give your answer in its lowest term.
c) Find the fraction of amount saved in October to the total amount saved. Give your answer in its lowest term.
d) If a pie chart is used to represent the bar chart data, what is the angle of the sector representing November?
(a) Total amount = 500 + 250 + 800 + 700
(b) Ratio 500 : 700
(c) Fraction = [pic]
(d) Angle = [pic] ……………………………….…..……………[M1]
| |Ans: (a) $ ____2250_______ [1] |
| |Ans: (b) ___5____ : ___7___ [1] |
| |Ans: (c) __________[pic]_____ [1] |
| |Ans: (d) ____128____[A1]_( [2] |
14 Solve the following equations.
(a) [pic]
(b) [pic]
(b) [pic] ………correct expansion…………….....[M1]
[pic] …………………….……………………..[M1]
[pic] [pic]
| |Ans: (a) x = _____25________[1] |
| |Ans: (b) x =[pic][pic]_[A1] [3] |
~ End of Paper ~
-----------------------
Month
September
October
November
December
1000
900
800
700
600
500
400
300
200
100
Amount saved ($)
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