156 P5.DA.NK.23052626
Level 3
Kylie bought some Geography books at $17 each. She also bought an equal number of History books at a different price. The average price of one Geography and one History book was $10. Kylie paid $70 more for the Geography books than the History books.
  1. What was the cost of one History book?
  2. How many Geography books did Kylie buy?
3 m
2 Averages Average with unknown quantity Money Number x value More than or less than Equal stage Units table
157 P5.RA.NK.22122919
Level 3
Last Saturday, Jack withdrew an equal number of $10-notes and $50-notes from the bank. After spending 58 pieces of $10-notes and 10 pieces of $50-notes, the ratio of the remaining $10-notes to $50-notes became 2 : 5.
  1. How many $10-notes had he left?
  2. What was the total value of the notes which Jack withdrew from the bank?
4 m
Ratio to units Money Equal stage before All change Sets Units equations Units table
158 P6.RD.TL.16010126
Level 3
Queenie baked 390 cookies and cupcakes. After she gave 0.3 of the cookies and 0.4 of the cupcakes to her friends, she was left with an equal number of cookies and cupcakes. How many cookies had she left?
4 m
Decimal to units Equal stage after All change Units table Units manipulation
159 P4.AP.JM.17100234
Level 3
The rectangle and square have the same area. The length of the rectangle is 4 times its breadth. What is the length of one side of the square?
3 m
Length Square Rectangle Square & square root Equal stage
160 P5.RD.JM.17083189
Level 3
The number of red grapes is the same as the number of green grapes in a bag. After removing 14 of the grapes, there were 36 red grapes and 54 green grapes left in the bag. Then another 20 red grapes and 20 green grapes were removed and there were 512 of the grapes left in the end. How many red grapes were removed altogether?
4 m
Fraction of a set Equal stage before Working backwards Units table

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