Can your Child do Primary 6 level New Maths problems? Try our 2 challenging specimen questions now!

Q1. Stacy and Huiyu had 400 stickers between them. Stacy gave 3/7 of her stickers to Huiyu. Huiyu then gave 3/8 of her stickers to Stacy. After that, they had an equal number of stickers. How many stickers did Stacy had at first?

See Answer?

Working out the question from backwards,

400 divided by 2 = 200 stickers

5 units -> 200 stickers (Huiyu)
1 unit -> 40 stickers
3 units -> 40 x 3 = 120 stickers

Therefore Huiyu gave 120 stickers to Stacy

200 - 120 = 80 stickers

4 units -> 80 stickers (Stacy)
1 unit -> 20 stickers
7 units -> 20 x 7 = 140 stickers

Stacy had 140 stickers at first. (Huiyu had 260 stickers at first)

Q2. A shopkeeper had a total of 120 blue and black bags in the ratio 3:5. After he sold an equal number of each colour of bag, the ratio of blue to black bags was 3:8. How many bags did he sell altogether.

See Answer?

3 + 5 = 8 units
120 bags divided by 8 units = 15 bags

15 x 3 = 45 blue bags
15 x 5 = 75 black bags

Difference in number of bags = 75 - 45 = 30 bags

After selling an equal number bags of each colour, the difference is still the same at 30 bags.

8 - 3 = 5 units
There are 5 more units of black bags than blue bags

5 units -> 30 bags
1 unit -> 6 bags
11 units -> 66 bags (both blue and black)

120 - 66 = 54 bags

The shopkeeper sold 54 bags. (27 blue and 27 black bags)