Questions

From Worst to Best

311 P5.FR.NK.22123003

Level 3
Penelope was packing her spoons, plates and bowls to be moved to her new shop. She packed 65 more spoons than plates, and 22 more bowls than spoons. While moving ³₅ of her spoons and ¹₁₀ of the plates were broken. The remaining 389 items were not broken. How many bowls did she have?

4 m

Attempt

312 P5.WN.JC.17083255

Level 3
Fanny and Gillian collected some stamps. If Fanny gave Gillian 52 stamps, both would have an equal number of stamps. If Gillian gave Fanny 40 stamps, Fanny would have 5 times as many stamps as Gillian. Find the number of stamps each of them had.

Fanny?
Gillian?

4 m

Attempt

Times as many Equal stage after Internal transfer Double if Units equations Units table

313 P5.PC.JC.17083140

Level 3
There was an equal number of mangoes and pineapples. On Monday, some mangoes were added, such that the number of mangoes increased by 80%. On Tuesday, the number of mangoes further increased by 50% and the number of pineapples decreased by 20%. There were 38 more mangoes than pineapples in the end. How many mangoes and pineapples were there altogether at first?

5 m

Video Attempt

Percent change by Percent of different bases More than or less than Equal stage before All change Units table Decimal units

314 P5.AP.JM.17083248

Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. ³₁₀ of Rectangle A and ¹₆ of Rectangle C are shaded. The shaded area is 36 cm². Find the total unshaded area of the figure.

4 m

Attempt

Rectangle Rectilinear figure Overlapping area Fraction to units Ratio to units Units table

315 P5.WN.NK.22122010

Level 3
Jake and Kenneth had the same number of sweets. Each of them packed his own sweets into packets. Jake packed 5 sweets in each packet and had 2 sweets left. Kenneth packed 8 sweets in each packet and was short of 4 sweets.

How many sweets did each of them have if they have used the same number of packets?
What was the smallest possible number of sweets each of them had if they used different number of packets?

4 m

Attempt

Multiples with remainder Number x value Units table Systematic listing

316 P5.FR.JM.17083095

Level 3
There were some guavas at a fruit stall. In the morning, ¹₆ of the guavas were sold. In the afternoon, another 30 guavas were sold. The total number of guavas sold was 5 less than ⁷₁₂ of the number of guavas the fruit stall had at first.

How many guavas were there at first?
What fraction of the guavas in the stall remained unsold in the afternoon?

5 m

Video Attempt

Fraction to units More than or less than Repeated identity Units equations Units table Unit manipulation

317 P5.FR.JM.17083011

Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is ³₄ the area of Rectangle B. Given that ¹₄ of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?

5 m

Video Attempt

Fraction of a whole Fraction to units Area perimeter Rectangle Combined repeated identity Units table

318 P5.FR.JM.17083096

Level 3
The table shows the prices of tickets for a concert performance for an adult ticket and a child ticket. ¹₄ of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $230 more than the total amount collected from the sale of adult tickets.

How many child tickets were sold?
How much money was collected from the sale of all the tickets?

5 m

Attempt

Fraction of a set Fraction to units Money More than or less than Number x value Units table

319 P5.FR.JC.17083175

Level 3
At a race, ³₇ of the number of boys is equal to ²₅ of the number of girls. The number of adults at the race is thrice the number of children. The number of coupons given to each adult, boy and girl at the race is 4, 3 and 2 respectively. The total number of coupons given at the race is 7980.

What is the total number of coupons given to the adults?
What is the number of girls at the race?

5 m

Attempt

Fraction of a set Fraction to units Times as many Common numerator Number x value Units table

320 P5.FR.JM.17083017

Level 3
Contestants in a quiz were awarded certificates based on their scores. A total of 312 points were awarded. ¹₈ of the contestants received the Certificate of Distinction. ⁴₅ of the remaining contestants received the Merit Certificate and the rest received the Participation Certificate. How many contestants received the Certificate of Distinction?