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Order of operations · question bank

Order of operations: question bank

Practise the order of operations from first steps to olympiad puzzles. The rule used throughout: brackets first (innermost first), then × and ÷ from left to right, then + and − from left to right. "Of" (as in ½ of 10) is done before ordinary × and ÷, following the BODMAS textbook convention; questions say so where it matters. Every solution shows the working one step per line, the best habit for this topic. Questions start at foundation and rise through core and stretch to challenge.

Foundation 19Core 31Stretch 17Challenge 8

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All 75 questions

Showing 15 of 75 matching questions.

Q1

FoundationWhy an order is needed

Using the agreed order of operations, what is 2 + 3 × 4?

Q2

FoundationWhy an order is needed

Why do mathematicians agree on one order of operations?

Q3

FoundationWhy an order is needed

What does the D in DMAS stand for?

Q4

CoreWhy an order is needed

Riya buys 1 pencil for ₹2 and 3 erasers at ₹4 each. Which expression gives her bill, and what is it?

Q5

CoreWhy an order is needed

Which story matches the expression (5 + 3) × 10?

Q6

CoreWhy an order is needed

In the BODMAS version taught in Indian school books, what does the O stand for?

Q7

StretchWhy an order is needed

True or false: in BODMAS, all divisions must be done before any multiplication, because D comes before M.

Q8

Foundation× and ÷, left to right

Evaluate 12 ÷ 3 × 2.

Q9

Foundation× and ÷, left to right

Evaluate 8 ÷ 4 × 2.

Q10

Foundation× and ÷, left to right

Evaluate 5 × 6 ÷ 3.

Q11

Core× and ÷, left to right

Evaluate 36 ÷ 6 ÷ 2.

Q12

Core× and ÷, left to right

Evaluate 60 ÷ 5 × 3.

Q13

Core× and ÷, left to right

Evaluate 48 ÷ 8 × 2 ÷ 3.

Q14

Core× and ÷, left to right

Evaluate 72 ÷ 9 ÷ 2 × 5.

Q15

Stretch× and ÷, left to right

Evaluate 100 ÷ 4 × 2 ÷ 5 × 3.

Stuck? The lessons explain every idea these questions use.