Questions

From Worst to Best

191 P5.FR.NK.22123003

Level 3
Penelope was packing her spoons, plates and bowls to be moved to her new shop. She packed 65 more spoons than plates, and 22 more bowls than spoons. While moving ³₅ of her spoons and ¹₁₀ of the plates were broken. The remaining 389 items were not broken. How many bowls did she have?

4 m

Attempt

192 P5.AP.JM.17083210

Level 3
ABFG is a square. The length of CD is ³₅ of BF and the area of BCDE is 864 cm². Given BC = EF, Find the area of the shaded parts.

4 m

Attempt

Square Composite figure area Fraction to units Units method

193 P5.AP.JM.17083226

Level 3
The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of Square ABCD is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 250 m, AB is ³₈ of GK and FE is 150 m, find

the cost of building the picnic area.
the cost of fencing the fountain.

4 m

Attempt

Composite figure area Money Fraction to units Units method

194 P5.FR.JC.17122916

Level 3
There were some pears, guavas and mangoes. The number of pears was three times the number of guavas. The total number of pears and guavas was half of the number of mangoes. There were 180 fruits altogether. All the mangoes were sold at 6 for $20. How much money was collected from the sale of the mangoes?

4 m

Attempt

Fraction to units W 4 operations Money Times as many Combined repeated identity Sets Units method

195 P5.FR.NK.22122016

Level
Linda sold $1078 worth of dresses and jumpsuits. She earned $110 less on the jumpsuits than the dresses. Each jumpsuit is sold for $4 more than each dress. The number of jumpsuits sold was ²₃ of the number of dresses sold.

How much did Linda earn from the sales of the dresses?
How many dresses were sold?

4 m

Attempt

Fraction to units Money More than or less than Sets

196 P5.AP.JM.17083244

Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the ¹₅ mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)

4 m

Attempt

Square Composite figure area Overlapping area Fraction of a whole Fraction to units Units method

197 P5.AP.JM.17083248

Level 3
The ratio of the area of Rectangle A to that of Rectangle B to that of Rectangle C is 5 : 4 : 3. ³₁₀ of Rectangle A and ¹₆ of Rectangle C are shaded. The shaded area is 36 cm². Find the total unshaded area of the figure.

4 m

Attempt

Rectangle Rectilinear figure Overlapping area Fraction to units Ratio to units Units table

198 P5.FR.JM.17083095

Level 3
There were some guavas at a fruit stall. In the morning, ¹₆ of the guavas were sold. In the afternoon, another 30 guavas were sold. The total number of guavas sold was 5 less than ⁷₁₂ of the number of guavas the fruit stall had at first.

How many guavas were there at first?
What fraction of the guavas in the stall remained unsold in the afternoon?

5 m

Video Attempt

Fraction to units More than or less than Repeated identity Units equations Units table Unit manipulation

199 P5.FR.JM.17083011

Level 3
The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is ³₄ the area of Rectangle B. Given that ¹₄ of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?

5 m

Video Attempt

Fraction of a whole Fraction to units Area perimeter Rectangle Combined repeated identity Units table

200 P5.FR.JM.17083096

Level 3
The table shows the prices of tickets for a concert performance for an adult ticket and a child ticket. ¹₄ of the tickets sold were for adults. The total amount of money collected from sale of the child tickets was $230 more than the total amount collected from the sale of adult tickets.