WA1 Practice Paper: Weighted Assessment 1 — question paper (print)

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QQ/S3EM/WA1

Secondary 3 · Elementary Mathematics (G2 / G3)

WA1 Practice Paper

Weighted Assessment 1

Duration: 50 minutes

Total: 40 marks

Name:

Class:

Date:

READ THESE INSTRUCTIONS FIRST

Write your name, class and register number in the spaces at the top of this page.
Answer all questions.
Show all necessary working. Omission of essential working will result in loss of marks.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.
An approved calculator may be used.
The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Elementary Mathematics syllabus. It is not an official MOE or school examination paper. Chapters 1–3 (numbers and their operations, ratio, rate and speed, percentage and personal finance).

For Examiner’s Use
Section A	/ 40
Total	/ 40

Section A: Structured questions[40 marks]

Answer all questions in the spaces provided. Show all necessary working — omission of essential working will result in loss of marks. Give non-exact numerical answers correct to 3 significant figures, unless told otherwise.

1
Answer the following without a calculator where possible.
1. (a)
  Express 0.000456 in standard form.
  Answer =[1]
2. (b)
  Giving your answer in standard form, evaluate (3.2 × 10⁻³) × (5 × 10⁵).
  [2]
3. (c)
  Evaluate √20.9, giving your answer correct to 2 decimal places.
  [1]
4. (d)
  Write 47,853 correct to 3 significant figures.
  [1]
5. (e)
  A length is given as 8.4 cm, measured to the nearest millimetre. State its upper bound.
  [1]
2
A recipe for 6 people uses 360 g of flour, 4 eggs and 480 ml of milk.
1. (a)
  Find the mass of flour needed for 9 people.
  [2]
2. (b)
  Express the ratio of flour to milk in its simplest form.
  [1]
3. (c)
  A map is drawn to a scale of 1 : 25,000. Two towns are 3.4 cm apart on the map. Find the actual distance between them, in kilometres.
  [2]
4. (d)
  A car then travels the 85 km journey at an average speed of 60 km/h. Find the journey time, in minutes.
  [2]
3
A fun-run route has two legs: 5 km run at an average speed of 12 km/h, followed by 8 km cycled at 10 km/h.
1. (a)
  Find the time taken for the 5 km leg, in minutes.
  [2]
2. (b)
  Find the total time for both legs, in minutes.
  [2]
3. (c)
  Find the average speed for the whole event, correct to 3 significant figures.
  [2]
4
A jacket is sold at $96 after a discount of 20% off its usual price.
1. (a)
  Find the usual price of the jacket.
  [2]
2. (b)
  A 9% GST is then added to the $96. Find the final price paid.
  [2]
3. (c)
  Simple interest is earned on $2,400 at 3.5% per year for 18 months. Find the interest.
  [2]
5
Ravi invests $8,000 in a fixed deposit paying 2.4% interest per year, compounded yearly.
1. (a)
  Find the value of the investment after 3 years, correct to the nearest cent.
  [3]
2. (b)
  Hence find the interest earned over the 3 years.
  [1]
3. (c)
  A different deal: a dealer sells a bicycle for $1,134 and makes a profit of 26% on the cost price. Find the cost price.
  [2]
4. (d)
  Express 45 minutes as a percentage of 2 hours.
  [2]
6
Everyday rates and money.
1. (a)
  Convert a speed of 4.5 m/s into km/h.
  [2]
2. (b)
  Given that USD 1 = SGD 1.34, change SGD 750 into US dollars, correct to 2 decimal places.
  [2]
3. (c)
  A car travels 350 km, using 8 litres of petrol per 100 km. Find the number of litres used.
  [1]
4. (d)
  Petrol costs $2.30 per litre. Find the cost of the petrol for the trip.
  [2]

— End of paper —