Word Problems in Arithmetic
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Word Problems in Arithmetic — Free MYP2 Mathematics Practice Questions

1QuestionChoosing the Correct OperationConcept Practice
2 marks~3 minCriterion A
The diagram shows a rectangle with sides labelled 8 cm8 \, \text{cm} and 5 cm5 \, \text{cm}.
a
Identify the type of quadrilateral shown in the diagram. [1]
b
A rectangle has a perimeter of 26 cm26 \, \text{cm} and one side measures 8 cm8 \, \text{cm}. Calculate the length of the shorter side. [1]
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2QuestionChoosing the Correct OperationAssessment Practice
6 marks~9 minCriterion D
A rectangular parking lot measures 30 m by 50 m. Each parking space, including its share of the access aisle, is 2.5 m wide and 6 m long.
a
Calculate the number of cars the parking lot can hold if the entire area is used for parking spaces. [2]
b
Identify two real-world features of a parking lot that would reduce the number of cars below your answer in part (a). [2]
c
Explain one reason why dividing total area by space area may not give a reliable estimate of parking capacity. [2]
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3QuestionModeling Problems with DiagramsConcept Practice
3 marks~5 minCriterion C
The distance–time graph below shows a car's distance from home during a 3-hour trip.
a
Identify what the car is doing during the section from (0,0)(0, 0) to (1,60)(1, 60). [1]
b
Describe what is happening to the car during the section from (1,60)(1, 60) to (2,60)(2, 60), and explain how the graph shows this. [1]
c
Compare the car's journey during the section from (2,60)(2, 60) to (3,0)(3, 0) with its journey in part (a). [1]
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Solutions

4QuestionModeling Problems with DiagramsConcept Practice
6 marks~9 minCriterion B
L-shaped staircases are built from square tiles. Each step adds an L-shaped border around the previous shape.

Step number: 1, 2, 3, 4
Number of tiles: 3, 5, 7, 9
a
State the number of tiles needed for Step 5. [1]
b
Calculate the number of tiles for Steps 5 and 6, then write the complete sequence for Steps 1–6. Show your working. [2]
c
Identify a general rule for the number of tiles TT at Step nn, and use it to find the number of tiles at Step 10. [3]
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Solutions

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