Questions

From Worst to Best

21 P5.ST.JC.18121153

Level 2
Adam has $1000 in his bank account.
The bank pays him an annual interest of 5%.
He does not deposit any more money.

What is the interest after a year?
How much will he have in his bank account after a year?

2 m

Attempt

22 P6.PC.TL.16010148

Level 3
The petrol tank of Fred's convertible was 80% empty. He went to the petrol kiosk and topped up 25ℓ of petrol. When he reached the theme park, the petrol tank was 90% full. Given that he used 4ℓ of fuel to get to the theme park from the kiosk, find the capacity of the petrol tank.

3 m

Attempt

Percent of a whole Percent change to Percent to units Percent of different bases Volume Unchanged total Units table Units manipulation

23 P6.PC.TL.16010108

Level 3
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?

3 m

Video Attempt

Percent to units Percent of different bases Internal transfer Unchanged total Units table

24 P6.RD.TL.17042614

Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?

4 m

Attempt

Percent of a whole Percent to units Percent of different bases Area perimeter Triangle Overlapping area Repeated identity Units method

25 P6.PC.TL.16010146

Level 3
Wendy has a bag containing some violet and blue lollipops. If she adds in 15 violet lollipops, 25% of the lollipops in the bag are blue. If she adds in another 25 blue lollipops, 40% of the lollipops in the bag are blue. How many violet lollipops are in the bag?

3 m

Video Attempt

Percent to units Percent of different bases Unchanged quantity Units table

26 P6.RD.TL.16010171

Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to ¹₅ of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.

Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
How much did Mrs Zhang spend?

4 m

Video Attempt

Fraction to units Finding ratio R Simplest form Percent to units Percent of different bases More than or less than Equal stage after Repeated identity Common numerator Units table

27 P5.PC.JM.17083189

Level 3
The cost price of a shirt is 30% less than that of the jacket. A profit of 25% is made when the jacket is sold for $50. What is the cost price of the shirt?

3 m

Attempt

Percent to units Profit & loss Percent of different bases More than or less than Units method

28 P5.PC.JM.17083157

Level 2
The table shows the prices of a similar dress from two different malls.

Which mall sells the dress at a cheaper price? (A or B)
How much cheaper is the dress?

3 m

Attempt

Discount Percent of different bases Table More than or less than

29 P5.PC.JM.17083181

Level 3
Alicia bought one camera at 20% discount off its original price. She paid a total of $107 for it, which was inclusive of 7% GST on the discounted price. What was the original price of the camera?

3 m

Attempt

Discount GST Percent of different bases Table Units method

30 P5.RD.JM.17083261

Level 3
Annie had ²₃ as many stamps as Becky. The sum of the number of stamps Annie and Becky had was the same as the number of stamps that Callie had. After trading, Callie gave 20% of her stamps to Annie and received 25% of Becky's stamps. If Becky wanted to increase her number of stamps in the end by 25%, find the ratio of her number of stamps to the sum of Annie's and Callie's stamps in the end.

4 m

Attempt