Questions

From Worst to Best

611 P6.PC.TL.16010141

Level 3
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?

5 m

Video Attempt

Percent of a set Percent to units Percent of different bases Internal transfer Unchanged total Units table Units & parts Elimination

612 P6.FR.TL.16010117

Level 3
Kate had 96 more buttons than Violet. After Kate gave away ¹₃ of her buttons and Violet gave away ³₄ of her buttons, Violet had 199 less buttons than Kate. How many buttons did Kate have at first?

4 m

Video Attempt

Fraction to units More than or less than All change Units manipulation Model & units table

613 P6.FR.JC.16010136

Level 3
Zane had $120 less than Xavier. If Xavier spends $460 and Zane's mother gave Zane $200, Xavier will have ¹₄ as much money as Zane. How much money did Zane and Xavier have?

4 m

Attempt

Fraction to units Money More than or less than All change Units table Units & parts Elimination

614 P6.RD.TL.16010166

Level 3
A store had 390 story books. There were Chinese, Malay and English story books in the ratio of 4 : 3 : 6. When the store assistant brought in another 60 new story books, the number of Chinese story books was increased by 20% and the number of Malay story books was increased by ¹₁₀.

What was the number of English story books that the store assistant brought in?
What was the percentage increase in the number of English story books?

5 m

Video Attempt

Fraction of a set F Multiplication Ratio to units Percent change by All change Units table Decimal units

615 P6.RD.TL.16010140

Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent ²₃ of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?

5 m

Video Attempt

Fraction to units Percent of a whole Percent to units Percent of different bases More than or less than Common numerator All change Units equations Units table

616 P6.PC.TL.16010140

Level 3
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?

5 m

Video Attempt

Percent of a set Percent to units Percent of different bases Internal transfer Unchanged total Units table Units & parts Elimination

617 P6.FR.TL.16010125

Level 3
Jane and Tina had $652. Tina had $76 more than Jane. Jane spent 2 times as much as Tina and was left with ²₃ as much as Tina. How much did Jane spend?

4 m

Video Attempt

Fraction to units Money More than or less than Times as many All change Model & units table Units & parts Elimination

618 P6.RD.TL.16010199

Level 3
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded ⁵₆ of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.

How many fruits were there on his vehicle after visiting Stall Y?
How many avocados were delivered to Stall X?

5 m

Attempt

Fraction to units Ratio to units Equal stage after All change Units table Units manipulation

619 P6.FR.TL.16010123

Level 3
²₃ of Eva's money was equal to ¹₅ of Gillian's money at first. After Eva spent $41 and Gillian spent ²₅ of her money, Eva had ¹₃ as much money as Gillian.

How much money did Gillian have at first?
How much money did Gillian have in the end?

4 m

Video Attempt

Fraction to units Money Common numerator All change Units table Units manipulation

620 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.