Free IB MYP Practice Questions | RevisionPrep

1QuestionReading and Writing Numbers in WordsConcept Practice

2 marks~3 minCriterion D

A cheque shows an amount of 1250 dollars written in digits, but the line for writing the amount in words is left blank.

a

Identify one reason why cheques require the amount to be written in both digits and words. [1]

b

Explain how leaving the words line blank makes it easier for someone to commit fraud. [1]

Solutions

2QuestionPlace Value in Large NumbersAssessment Practice

4 marks~6 minCriterion D

A city has 7 districts. A model estimates the total population by multiplying 7 districts by an average of 450,000 people per district.

The actual district populations are: one district has 1,200,000 people, one has 800,000 people, and the remaining five each have 200,000 people.

a

Calculate the actual total population of the city. [1]

b

Calculate the difference between the model's estimate and the actual total population. State whether the model overestimates or underestimates. [2]

c

Explain one limitation of this model and suggest one way to improve it. [1]

Solutions

3QuestionExpanded and Standard FormsConcept Practice

2 marks~3 minCriterion A

The diagram shows a number represented using base-10 blocks: 2 flats (hundreds), 3 rods (tens), and 4 units (ones).

a

Identify the number shown by the base-10 blocks in standard form. [1]

b

Write the number in expanded form. [1]

Solutions

4QuestionComparing and Ordering DecimalsAssessment Practice

4 marks~6 minCriterion C

A student measures a table three times with a millimetre ruler and records:

1.5\ \text{m}

,

1.45\ \text{m}

, and

1.450\ \text{m}

. She claims that

1.450\ \text{m}

is the most precise because it has the most digits.

a

Identify which measurement is the most precise. [1]

b

Explain why

1.5\ \text{m}

and

1.45\ \text{m}

do not use the ruler's full precision. [2]

c

Compare the student's claim with what precision actually means for a measuring instrument. [1]

Solutions

5QuestionDecimal Place Value and PrecisionConcept Practice

2 marks~3 minCriterion D

A metre stick has markings every

0.1

m. A student measures a desk and records

1.2

m. A more precise ruler shows the desk is

1.23

m long.

a

Identify the smallest length this metre stick can measure. [1]

b

Explain why recording

1.2

m is appropriate for this tool. [1]

Solutions

6QuestionDecimal Place Value and PrecisionAssessment Practice

4 marks~6 minCriterion D

Emma measures a table using a millimetre ruler: length

1.23\ \text{m}

, width

0.87\ \text{m}

. Her brother uses a centimetre ruler: length

1.2\ \text{m}

, width

0.9\ \text{m}

.

a

Calculate the area of the table using Emma's measurements. Give your answer in

\text{m}^2

. [1]

b

Calculate the area of the table using her brother's measurements. Give your answer in

\text{m}^2

. [1]

c

Compare the two areas and explain how the choice of ruler affects the reliability of the final area calculation. [2]

Solutions

7QuestionComparing and Ordering DecimalsConcept Practice

2 marks~3 minCriterion A

A rectangle has sides of length

3.7

cm and

4.2

cm.

a

Identify the longer side. [1]

b

Explain how you know which decimal is greater by comparing the digits. [1]

Solutions

8QuestionReading and Writing Numbers in WordsAssessment Practice

4 marks~6 minCriterion C

A bank statement shows a deposit written as: "three thousand four hundred and five dollars and sixty-seven cents."

a

State this amount as a decimal number of dollars. [1]

b

Explain why banks write monetary amounts in words as well as numerals. [1]

c

Compare the advantages and disadvantages of writing amounts in words on bank statements. [2]

Solutions

9QuestionComparing and Ordering DecimalsConcept Practice

2 marks~3 minCriterion D

A supermarket sells two bottles of orange juice:
- Small bottle:

1.5

L for

3.45

dollars
- Large bottle:

2.0

L for

4.20

dollars

a

Describe a decision you could make by comparing the price per litre of each bottle. Include the two decimal values you would compare. [1]

b

Identify one limitation of relying solely on this decimal comparison to decide which bottle to buy. [1]

Solutions

10QuestionDecimal Place Value and PrecisionAssessment Practice

6 marks~9 minCriterion D

A student measures a steel beam for a model bridge. The ruler has a precision (smallest unit it can measure) of 0.01 m. The measured length is 2.45 m; the true length is 2.453 m.

a

State the absolute error of the measurement. [1]

b

Calculate the relative error as a percentage. Round your answer to two decimal places. [2]

c

A safety rule for real bridges states that the relative error must not exceed 1%. Compare your answer from part (b) with this limit and explain whether the student's measurement would be acceptable for a real bridge. [3]

Solutions

11QuestionExpanded and Standard FormsConcept Practice

2 marks~3 minCriterion A

A student receives a scholarship cheque for 1000 dollars. The amount in expanded form is

1 \times 1000 + 0 \times 100 + 0 \times 10 + 0 \times 1

.

a

Identify the place value of the digit

1

in the number

1000

. [1]

b

Explain how writing 1000 dollars in expanded form helps prevent errors when verifying a cheque amount. [1]

Solutions

12QuestionComparing and Ordering DecimalsAssessment Practice

6 marks~9 minCriterion D

Three athletes finish a swimming race with these recorded times:

Athlete A:

23.450

s
Athlete B:

23.500

s
Athlete C:

23.405

s

a

State the order in which gold, silver, and bronze medals are awarded. [1]

b

Explain why recording times to three decimal places (thousandths of a second) helps ensure a fair result in close races. [2]

c

Compare the precision of a stopwatch (accurate to

\pm 0.01

s) with the level of detail shown in the recorded times above. What does this suggest about relying on the thousandths digit alone to rank athletes? [3]

Solutions

13QuestionPlace Value in Large NumbersConcept Practice

2 marks~3 minCriterion A

A place value chart shows base-10 blocks arranged in columns:

Millions: 1 block
Hundred-thousands: 2 blocks
Ten-thousands: 3 blocks
Thousands: 4 blocks
Hundreds: 5 blocks
Tens: 6 blocks
Ones: 7 blocks

a

Identify the digit in each column and write the seven-digit number the blocks represent. [1]

b

Calculate the total value by writing each column's contribution as a multiplication, then find the sum. [1]

Solutions

14QuestionPlace Value in Large NumbersAssessment Practice

8 marks~12 minCriterion D

A city's census (official population count) records exactly

8\,247\,319

people. The government reports this as

8.2

million, rounded to the nearest hundred thousand.

a

State the value of

8\,247\,319

rounded to the nearest million. [1]

b

The government allocates 1000 dollars per person for school funding, using the rounded figure of

8\,200\,000

. Calculate the difference in funding compared with using the exact census count. [3]

c

Compare the effect of rounding population data to the nearest million versus the nearest hundred thousand on budget planning for public services such as schools and hospitals. In your answer, identify one limitation of using rounded figures for planning. [4]

Solutions

15QuestionReading and Writing Numbers in WordsConcept Practice

2 marks~3 minCriterion A

A rectangle has a length of 9 cm and a width of 6 cm.

a

State the formula for the area of a rectangle. [1]

b

Calculate the area of the rectangle in square centimetres, and write your answer in words. [1]

Solutions

16QuestionExpanded and Standard FormsAssessment Practice

8 marks~12 minCriterion A

An architect measures a building foundation as

3\,452

mm and writes it in expanded form:

3\,452 = 3 \times 1000 + 4 \times 100 + 5 \times 10 + 2 \times 1

A junior architect swaps the thousands and hundreds digits, recording

4\,352

mm instead.

a

State the expanded form of

4\,352

and identify the difference in millimetres between the two measurements. [2]

b

Calculate the cost of concrete for the correct length. Then calculate the extra cost caused by the error.
Use: width

= 8.5

m, depth

= 0.25

m, cost

= 120

dollars per cubic metre. [4]

c

Describe two ways the junior architect could reduce the risk of this type of digit-swap error in future. [2]

Solutions

17QuestionPlace Value in Large NumbersConcept Practice

2 marks~3 minCriterion D

A city planner reads a population of

8{,}742{,}301

to allocate budgets for public services.

a

Identify the value of the digit

8

in

8{,}742{,}301

. [1]

b

Explain one consequence for budget planning if the planner misreads the millions digit as

7

instead of

8

. [1]

Solutions

18QuestionReading and Writing Numbers in WordsAssessment Practice

8 marks~12 minCriterion C

A school writes a cheque for 1 234 567 dollars to a charity. Writing the amount in words — one million two hundred thirty-four thousand five hundred sixty-seven — helps prevent fraud because words are harder to alter than digits.

a

Identify one reason why writing a number in words is more secure than writing it in digits on a cheque. [1]

b

The cheque amount is 1 234 567 dollars and 89 cents. Write this full amount in words, then explain one problem that arises when amounts with cents are written this way. [4]

c

Compare writing the cents part fully in words with writing it as the fraction

\dfrac{89}{100}

. Which is clearer on an official document, and why? [3]

Solutions

19QuestionDecimal Place Value and PrecisionConcept Practice

2 marks~3 minCriterion A

A rectangle has side lengths of

3.64

cm and

2.47

cm.

a

State the length of the longer side rounded to the nearest tenth of a centimetre. [1]

b

Calculate the perimeter of the rectangle using each side length rounded to the nearest tenth. [1]

Solutions

20QuestionDecimal Place Value and PrecisionAssessment Practice

3 marks~5 minCriterion C

A student measures a rectangular garden: length

= 5.6 \, \text{m}

, width

= 3.45 \, \text{m}

.

a

State the number of decimal places in each measurement. [1]

b

Calculate the area of the garden using

\text{Area} = \text{length} \times \text{width}

. Give your answer to two decimal places. [1]

c

The student claims the area is more precise than either measurement. Explain whether you agree. [1]

Solutions

Place Value and Number Representation — Free MYP2 Mathematics Practice Questions