Question:

Level 3

The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.

The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.

3 m

Level 3

The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.

The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.

3 m

PSLE

David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.

David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.

- How many small cubes does David have?
- The volume of the tank is 504 cm
^{3}. If the large cubes took up^{3}_{7}of the tank, What is the length of the edge of one small cube?

4 m

Level 3

Fill in the blanks.

The ratio of adults to children is 1 : 2.

The ratio of boys to girls is 3 : 5.

Use LCM and find the following.

4 m
Fill in the blanks.

The ratio of adults to children is 1 : 2.

The ratio of boys to girls is 3 : 5.

Use LCM and find the following.

- Number of adults = _____ u
- Number of boys = _____ u
- Difference in the number of boys and girls = _____ u
- Total number of people = _____ u

Level 3 PSLE

Yoko had two streamers of the same length. She cut the first streamer into equal parts of length 90 cm and to each part she tied 4 blue heart cutouts. After that, she cut the second streamer into equal parts of length 120 cm and to each part she tied 7 red heart cutouts. When she finished tying, she counted that there were 80 more red heart cutouts than blue heart cutouts. How many heart cutouts were there altogether?

5 m
Yoko had two streamers of the same length. She cut the first streamer into equal parts of length 90 cm and to each part she tied 4 blue heart cutouts. After that, she cut the second streamer into equal parts of length 120 cm and to each part she tied 7 red heart cutouts. When she finished tying, she counted that there were 80 more red heart cutouts than blue heart cutouts. How many heart cutouts were there altogether?

Level 1 PSLE

Find the following values without a calculator.

2 m
Find the following values without a calculator.

- LCM of 2 and 8
- LCM of 3 and 18
- LCM of 12 and 20
- LCM of 2, 4 and 8

Level 2

Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?

Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?

2 m

Level 3

Irene has enough flour to bake either 21a tarts or 18 biscuits. If she has finished baking 5a tarts and 6 biscuits, how many more tarts can she still bake in terms of a?

2 m
Irene has enough flour to bake either 21a tarts or 18 biscuits. If she has finished baking 5a tarts and 6 biscuits, how many more tarts can she still bake in terms of a?

Level 3

At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.

3 m
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.

- Find the speed of the black car.
- Find the speed of the green car.
- If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?

Level 3

Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.

3 m
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.

- Find the distance covered per second by Vivian in m.
- Find the distance covered per second by Kyle in m.
- When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.