Questions

From Worst to Best

31 P5.RD.JM.17083335

Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.

5 m

Attempt

32 P5.RD.JM.17083192

Level 3
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold ¹₃ of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?

5 m

Attempt

Fraction of a set Ratio to units Repeated identity All change Units table Units & parts Elimination

33 P5.DA.NK.23081001

Level 3
The total number of fish fingers produced by Machine B and Machine C was 332. The total number of fish fingers produced by Machine B and Machine D was 327. The total number of fish fingers produced by Machine C and Machine D was 367. Find the average number of fish fingers produced by 3 machines.

3 m

Attempt

Average Repeated identity Units & parts & boxes

34 P5.RD.JM.17083151

Level 3
²₅ of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,

what was the number of red crayons?
what was the total number of crayons in the bag at first?

5 m

Attempt

Fraction of a set Percent of a set Percent of different bases Equal stage after All change Units table Units & parts & boxes

35 P5.RA.JC.17083326

Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.

Yvette
Linda

5 m

Attempt

Ratio to units Money Times as many All change Units table Units & parts Elimination

36 P5.RD.JM.17083363

Level 3
Jeremy has a crate containing some red and green grapes. If he adds in 10 bunches of red grapes, 0.6 of the bunches of grapes in the carton will be green grapes. If he adds in 30 bunches of green grapes, ³₄ of the bunches of grapes in the carton will be green grapes. How many bunches of grapes are there in crate?

5 m

Attempt

Fraction of a set Fraction to units Decimal to units Double if Units equations Units table Units & Parts Elimination

37 P5.AP.JM.17083114

Level 3
The perimeter of this rectangular field is 700 m. It is subdivided into six identical rectangular enclosures as shown. What is the area of the rectangular field?

3 m

Attempt

Rectangle Rectilinear figure Units & parts Substituion

38 P5.PC.NK.22122904

Level 3
Olivia bought 3 home theater systems and 6 toasters. Each home theater system costs $280 more than each toaster. She spent 20% of her money on the toasters.

How much did each home theater system cost?
How much did she spend altogether?

4 m

Attempt

Percent of a whole Money More than or less than Number x value Units table Units & parts Substituition

39 P5.DA.JM.17083152

Level 3
The average number of playing cards Brendon and Ricky had was 450. The average number of playing cards Brendon and Jonas had was 240. If the ratio of Ricky's playing cards to Jonas's playing cards was 5 : 2, find the number of playing cards Brendon had.

4 m

Attempt

Average with repeated identity Ratio to units Units & parts Elimination

40 P5.FR.NK.23021767

Level 3
Glen, Ken, Jenson and Justin shared 105 stickers. Jenson received ¹₅ of the stickers. Glen received ¹₆ of the total amount of stickers received by Ken and Justin. Justin received four times as much stickers as Ken.