Questions

From Worst to Best

41 P5.ST.JC.18121150

Level 3
The price of a TV set with 5% GST is $1050.

How much does Adam have to pay if the GST is increased to 10%?
How much more must Adam pay because of the GST increase?

3 m

Attempt

42 P5.ST.JC.18121151

Level 3
The price of a TV set with 10% GST is $1100.

How much does Adam have to pay if the GST is decreased to 5%?
How much saving does Adam enjoy as a result of the decrease in GST?

3 m

Attempt

Percent of a whole GST Units method

43 P6.VO.NK.17053031

Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm²was completely filled with water. Ronald poured ¹₂ of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)

3 m

Attempt

Volume of cuboid Height of cuboid Volume transfer Fraction of a whole D Place values D Round off Percent of a whole

44 P5.ST.JC.18121152

Level 2
Adam wants to buy a TV set. The usual price of the TV set is $1000.
As a privileged card member, he is entitled to a discount of 10%.
He needs to pay a GST of 5%.

How much is the GST?
How much does he pay for the TV set in all?

3 m

Video Attempt

Percent of a whole Discount GST Percent of different bases

45 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

Percent of a whole Interest Percent of different bases

46 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

47 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

48 P5.PC.NK.22122107

Level 3
Linda had a story book with 440 pages. She read 50% of the story book on Thursday, 35% of the story book on Friday and the rest on Saturday.

How many pages did she read on Saturday?
How many more pages did she read on Thursday than on Saturday?

3 m

Attempt

Percent of a whole Units method

49 P6.RD.TL.16010169

Level 3
In a container, there are candies of 3 colours, yellow, white and purple. There are 108 more white candies than purple candies. The number of purple candies is ¹₂ more than the yellow candies. Given that the number of purple candies is 24% of the total number of candies in the container, how many more white candies are there than yellow candies?

4 m

Attempt

Fraction of a set Percent of a whole Percent to units More than or less than Combined repeated identity Units manipulation Model & units table

50 P6.VO.NK.17053034

Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.