FACTORS AND MULTIPLES
INTEGERS AND APPROXIMATION
RATIONAL NUMBERS
RATE, TIME
RATIO, SPEED
100

Is 3016 a multiple of 29?

YES

100

Write down, correct to the nearest integer, the value of the square root of 896.

30

100

Arrange the following in descending order:

2 h 15 mins, 130 minutes, 2.5 h , 1 h 86 mins.

2.5 h , 1 h 86 mins , 2 h 15 mins , 130 minutes

100

The cost of 1 kg of fruit is $2.16. Find the cost of 3.5 kg of fruit.

$7.56

100

If p : 14 = 10 : 28. Find the value of p.

p = 5

200

Find the HCF of 306 and 428.

18

200
Evaluate:

- 30 / [{6 - 2 (8 - 11)3} - 3 x (-9)]

- 10 / 29

200

Calculate the exact value of [174/0.03 + ( - 16.8 / 3.2)]

23179 / 4 or 5794.75

200

The cost of 15 identical text books is $21.30. Calculate the cost of 8 books.

$11.36

300

HCF and LCM of two numbers are 40 and 2520 respectively. If one of the numbers is 280, find the other number.

360

300

Each of the 400 passengers on the train is given a drink. The drinks are in packs of 12. Find the least possible number of packs required and the number of drinks left over.

34 packs required.

8 drinks left over.

300

Find, in its simplest form, the fraction which is exactly halfway between 6/25 and 14/15.

44/75

300

Find the number of minutes between 22 47 and 23 15.

28 minutes

300

Of 1314 people who travel to work from bus, the ratio of men to women is 5:4. Calculate the number of men who travel by bus.

730

400

Area of the front face of a cubical gift box is 625 cm2. Find the length of the edge of the box.

25 cm

400

A man plants 25 trees in a straight line. The distance between two consecutive trees is 6 m. How far is it from the first tree to the last tree?

144 m

400

To take a taxi, it costs $3 plus an additional $2 per mile traveled. You spent exactly $20 on a taxi, which includes the $1 tip you left.

How many miles did you travel?

8 mile

400

A train arrived at a station at 14 06, after travelling for 3 hours and 45 minutes. Find the time at which the train started its journey.

10 21

400

In a triangle PQR, the angles P, Q and R are in the ratio 8:3:9. Find the largest angle of the triangle.

81o

500

Three bus services operate from the same depot. The first service leaves at 10 minute intervals, the second at 15 minute intervals and the third at 25 minute intervals. All three services leave the depot together at 08 00. Find the time when the three services next leave the depot together.

10 30

500

A floor in 7.89 feet high. Estimate the height of a building with 18 such floors.

144 feet

500

A sum of money was divided between three people. Angela received 1/2 of the money. Ben received 1/3 of the money. Charles received the remainder.

a) Ben received $10. How much did Angela receive?

b) What fraction of the money did Charles receive?

a) $15

b) 1/6

500

When it is 07 00 in New York, the time in London is 12 00. A flight from London departs at 4:30 pm. The flying time is 6 hours. What is the time in New York when it arrives?

5:30 pm

500

An athlete walks a distance of 1 km at an average speed of 6 km/h and then, without stopping, runs a further distance of 800 m in 2 mins. He started his journey at 07 30. How far would he reach at 08 45?

11.6 km