Questions

161 P6.AP.TL.17090776

Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is ⁵₈ of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm². Find the area of rectangle EFGH.

3 m

Video Attempt

162 P6.FR.JC.19082905

Level 3
Bryan had some stickers. He gave ¹₅ of his stickers to John and bought 4 new stickers. After that, he gave ¹₃ of his remaining stickers to his brother and bought another 7 new stickers. In the end, Bryan had 55 stickers.

How many stickers did Bryan give to his brother?
How many stickers did Bryan have at first?

4 m

Video Attempt

Fraction of a set Remainder concept Working backwards Model Part-whole Units method

163 P6.AP.TL.17090814

Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm². Point A is the centre of Square WXYZ. Find the unshaded area.

3 m

Attempt

Square Cut & paste Fraction of a whole Units method

164 P6.SP.JC.19010101

Level 3
If Bill and Henry paint a house, they take 24 days to finish painting. If Kenny and Bill paint the same house, they take 8 days to finish painting. If Henry and Mark paint the same house, they take 12 days to finish painting. How many days do Kenny and Mark take to paint the house if they work together?

4 m

Video Attempt

Rate more than 1 object Duration LCM Units method Units & parts & boxes Substitution

165 P6.SP.JC.17053169

Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?

4 m

Attempt

Rate more than 1 object Volume Time Height of cuboid Common numerator Units method

166 P6.SP.TL.18012270

Level 3
After cycling for 30 km, Mark took a break before he continued cycling ¹₃ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.

4 m

Attempt

DST triangle Average speed Duration Fraction of a whole Common numerator Units method

167 P6.FR.TL.16010134

Level 3
³₅ of Jack's savings is equal to ²₃ of Asher's savings. The difference in their savings is equal to ¹₅ of Fred's savings. Jack saves $90 more than Fred. Find the total amount of saving of all 3 boys.

4 m

Video Attempt

Fraction to units More than or less than Common numerator Units method

168 P6.PA.JM.18011225

Level 3
Check out the pattern.

What is the sum of the two numbers in Row 100?
What are the two numbers in Row 99? (Eg 1, 2)
Under which column A, B, C or D, will the number 586 appear?

5 m

Attempt

Division with remainder Equal intervals Repeated patterns Units method

169 P6.DA.JC.22051102

Level 2 PSLE
The pie chart shows how Zoe spent her money. The amount of money spent is also represented by the bar graph.

What percentage of her money did Zoe spend on food?
What fraction of her money did Zoe spend on books?
How much of her money was spent on transport?

5 m

Attempt

Bar graph Pie chart Fraction of a whole F Simplest form F Multiplication Percent of a whole Money Units method

170 P6.VO.NK.17053167

Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is ³₅ filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.