Mixed Numbers and Improper Fractions

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Mixed Numbers and Improper Fractions — Free MYP2 Mathematics Practice Questions

1QuestionAdding and Subtracting Mixed NumbersConcept Practice

2 marks~3 minCriterion A

A recipe needs

1\dfrac{1}{2}

cups of flour for the dough and

2\dfrac{1}{3}

cups for the topping.

Calculate the total amount of flour needed. Show your working. [1]

Explain whether a measuring cup marked only in whole cups can measure this amount exactly. [1]

Solutions

2QuestionAdding and Subtracting Mixed NumbersAssessment Practice

4 marks~6 minCriterion D

A pancake recipe for 4 servings uses

1\frac{1}{2}

cups of flour and

\frac{3}{4}

cup of milk. To make 10 servings, each ingredient is multiplied by the scaling factor

2\frac{1}{2}

Calculate the amount of flour and the amount of milk needed for 10 servings. [2]

A student says the cooking time should also be multiplied by

2\frac{1}{2}

. Explain why multiplying cooking time by the same scaling factor may not give the correct result. Give two reasons. [2]

Solutions

3QuestionAdding and Subtracting Mixed NumbersConcept Practice

2 marks~3 minCriterion B

Look at these three subtraction equations:

2\tfrac{1}{3} - 1\tfrac{1}{3} = 1 \qquad 3\tfrac{1}{2} - 2\tfrac{1}{2} = 1 \qquad 4\tfrac{1}{5} - 3\tfrac{1}{5} = 1

Identify one pattern you notice in these equations. [1]

Using your pattern, write two new subtraction equations in the form

a\dfrac{b}{c} - d\dfrac{e}{f} = 1

. [1]

Solutions

4QuestionAdding and Subtracting Mixed NumbersAssessment Practice

5 marks~8 minCriterion C

Two students each used a different model to find

2\dfrac{3}{4} + 1\dfrac{1}{2}

.

Student A (area model): Shows

\dfrac{3}{4}

and

\dfrac{1}{2}

as separate rectangles, then labels the total as

3\dfrac{1}{4}

.

Student B (number line): Shows a jump of

2\dfrac{3}{4}

then

1\dfrac{1}{2}

, landing on

4\dfrac{1}{4}

Identify which student's model gives the incorrect answer. [1]

Explain the error in that student's method. [2]

Calculate

2\dfrac{3}{4} + 1\dfrac{1}{2}

, showing each step clearly. [2]

Solutions

Questions 5-70

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