Questions

From Worst to Best

271 P6.AP.TL.17090807

Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. ³₇ of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = ²²₇)

3 m

Attempt

272 P5.RD.JM.17083317

Level 3
Rachel had 3 times as much money as Paul. After Rachel spent ¹₂ of her money and Paul spent ³₅ of his money, they had a total of $1615 left.

How much money did Rachel and Paul have altogether at first?
Paul spent ³₅ of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?

5 m

Attempt

Fraction of a whole Fraction to units Money Times as many Remainder concept All change Units table Decimal units

273 P6.FR.JC.22100304

TRY FOR FREE

Level 3 PSLE
Muthu used ⁴₇ of his money to buy 6 pens. He used the rest of his money to buy 4 pens and 3 files.

What fraction of his money did Methu use to buy the 3 files?
If 1 file was fiven for free for every 5 files bought, How many files would Muthu be able to buy if he were to use all his money to buy files?

4 m

Attempt

Fraction of a whole Fraction of a set F 4 operations Remainder concept Sets

274 P5.RD.JM.17083325

Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent ²₅ of her money and Charlie deposited ⁵₁₁ of his money into his savings account, Abigail had thrice as much money as Charlie.

Find the amount of money Abigail received from her father.
If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?

5 m

Attempt

Fraction of a whole Fraction to units Percent change by Money Times as many All change Units manipulation

275 P4.FR.JM.17101747

Level 3
Mrs Hwee bought 2 air-fryers, 1 toaster and 1 electric kettle for $729 during the Great Singapore Sale. Each air-fryer cost $20 more than the toaster. Each electric kettle cost half as much as an air-fryer. How much did the toaster cost?

3 m

Attempt

Fraction of a whole Money More than or less than Decimal units

276 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

277 P5.VO.JM.17083181

Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is ⁴₅ full of water. When ¹₄ of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.

4 m

Attempt

Volume of cuboid Volume transfer Fraction of a whole Unit conversion

278 P6.SP.JC.21061109

Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.

With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
Starting with an empty tank, how long does it take for both taps together to fill ¹₄ of the tank? Give your answer in seconds.

3 m

Attempt

Rate more than 1 object Fraction of a whole Duration Volume Unit conversion Filling tank

279 P5.VO.JM.17083177

Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is ²₅ filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.

4 m

Attempt

Volume of cuboid Volume of cube Volume transfer Fraction of a whole Unit conversion

280 P6.SP.JC.17053182

Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm³ )