Questions

From Worst to Best

141 P6.RD.TL.16010106

Level 3
There were some pencils in Box A and Box B. After Carl transferred ³₄ of the pencils from Box A to Box B, the ratio of the number of pencils in Box A to that in Box B changed to 2 : 9. Find the ratio of the numbers of pencils in Box A to the number of pencils in Box B at first.

3 m

Attempt

142 P4.ST.JC.18121041

Level 3
Fill in the blanks.

Adam and Bryan have some stickers.
²₃ of Adam's stickers is equal to ²₅ of Bryan's stickers.

Let ¹₅ of Bryan's stickers be 1 u.

Number of stickers that Bryan has = _____ u
Number of stickers that Adam has = _____ u
Total number of stickers = _____ u
Difference in the number of stickers between Bryan and Adam = _____ u

4 m

Attempt

Fraction of a set Fraction to units Common numerator Units method

143 P4.RD.NK.22120707

Level 3
The mass of a container when it is ¹₇ full is 6.03 kg. The mass of a container when it is half full is 11.53 kg. What is the mass of the container when it is empty??

4 m

Attempt

Fraction to units D 4 operations Mass Repeated identity Units & parts Elimination

144 P6.FR.TL.16010103

Level 2
Jack had ²₅ the number of stamps David had at first. After David gave Jack 45 of his stamps, Jack had ³₅ the number of stamps David had. How many stamps did Jack have at first?

2 m

Attempt

Fraction to units Unchanged total Units table

145 P4.ST.JC.18121042

Level 3
Fill in the blanks.

Adam and Bryan have some stickers.
³₄ of Adam's stickers is equal to ¹₅ of Bryan's stickers
Let ¹₅ of Bryan's stickers be 1 u.

Number of stickers that Bryan has = _____ u
Number of stickers that Adam has = _____u
Total number of stickers = _____ u
Difference in the number of stickers between Bryan and Adam = _____u

4 m

Attempt

Fraction of a set Fraction to units Common numerator Units method

146 P6.FR.TL.16010132

Level 2
Zoe paid a total of $72 for an eraser, a ruler and a pen. The eraser cost ²₇ of the total cost of the ruler and the pen. The pen cost ¹₅ of the total cost of the eraser and the ruler. Find the total cost of the pen and the eraser.

2 m

Attempt

Fraction to units Money Unchanged total Units table Units manipulation

147 P4.RD.JM.17110124

Level 3
There are 100 balls in a bag. 0.25 of them are red balls, and the rest are green and blue balls. If there are ¹₄ as many green balls as blue balls. How many blue balls are there?

4 m

Attempt

Fraction to units Decimal to units Combined repeated identity Units & parts Substitution

148 P6.RD.TL.17042603

Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form ¹₂ of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.

3 m

Attempt

Fraction to units Ratio to units Area perimeter Square Times as many Unchanged total Units table Units manipulation

149 P4.ST.JC.18121043

Level 3
Fill in the blanks.
Give the answers in units (Eg 1 u) or unit equations (Eg 1 u + 2).

Adam and Bryan have some stickers.
¹₄ of Adam's stickers is 25 more than ¹₅ of Bryan's stickers.

Let ¹₅ of Bryan's stickers be 1 u.

Number of stickers that Bryan has = __________
Number of stickers that Adam has = __________
Total number of stickers = __________
Difference in the number of stickers between Bryan and Adam = __________

4 m

Attempt

Fraction of a set Fraction to units Common numerator Units method

150 P4.ST.JC.18121044

Level 3
Fill in the blanks.
Give the answers in units (Eg 1 u) or unit equations (Eg 1 u + 2).

Adam and Bryan have some stickers.
¹₄ of Adam's stickers is 25 less than ¹₅ of Bryan's stickers.

Let ¹₄ of Adam's stickers be 1 u.