Questions

From Worst to Best

51 P6.PC.TL.16010110

Level 3
25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?

4 m

Attempt

Percent of a set Percent to units Percent of different bases More than or less than Remainder concept Combined repeated identity Unchanged quantity Units table Units manipulation

52 P6.PC.TL.16010115

Level 3
Peter has 70% as many marbles as George. If Peter gives away 50% of the marbles and George gives away 75% of his marbles, they will have 444 marbles altogether. How many marbles do the two of them have?

4 m

Video Attempt

Percent of a set Percent to units Percent of different bases All change Units table Units manipulation

53 P6.RA.TL.16010147

Level 3
There were some grapefruits and durians in Container A and Container B. In Container A, the ratio of the grapefruits to the number of durians was 3 : 1. In Container B, the ratio of the number of grapefruits to the number of durians was 3 : 2. There were 2 times as many fruits in Container A as in Container B. After 56 durians were put into Container B, the ratio of the number of grapefruits to the number of durians in Container B became 1 : 2. How many fruits were there in Container A?

5 m

Video Attempt

Ratio to units Times as many Remainder concept Combined repeated identity Unchanged quantity Units table Units manipulation

54 P6.RD.TL.16010165

Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.

4 m

Attempt

Fraction to units Finding ratio R Simplest form Ratio to units Times as many All change Units table Units manipulation

55 P6.FR.JC.22052001

Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is ⁸₉ of the total area of Rectangles B and C. ¹₄ of Square A is shaded. ¹₄ of Rectangle B is shaded. ¹₆ of Rectangle C is shaded. What fraction of the figure is shaded?