Mental math practice

Calculate, find missing numbers, estimate and solve everyday problems.

Example

Example

Work out the answer using the four operations.

Add and subtract numbers up to 20. Multiply and divide with facts from 2 to 10.

10 questions, each with a worked method.

See the method after each answer, then choose Next question.

Calculations are read aloud instead of shown. Listening time is not counted, and showing one in writing counts as help.

10 questions · No time limit

Help

Answers

In Estimate, choose the closest option. Calculate, Missing number, Word problems and Multi-step use whole-number answers of zero or greater. Fractions, decimals and negatives and Work back to the missing number also accept fractions, decimals and negative values. Follow the hint beside the answer field.

Without a timer, choose whether to see worked methods after each answer or at the end. Sprints show them at the end.

Time limit

In a 2- or 8-minute sprint, each submitted answer opens the next question immediately, even when incorrect. The timer pauses when this tab is in the background. Multi-step, Fractions, decimals and negatives, and Work back to the missing number have no timer.

Statistics include complete 10-question rounds and sprints that reach the full time with at least one submitted answer. Ending early shows the available results and methods but does not save a completed round. A sprint with no answers is not saved.

Hear each calculation

Turn on Hear each calculation in More settings to hear each question in this device’s voice. It stays hidden until you answer. Replay it or slow it down as often as you like; listening time is not counted. Showing a question in writing counts as practice with help.

Screen readers already read the written calculation, so you may prefer to leave this off.

Start untimed and choose a difficulty where you can work through the calculations accurately. Review mistakes before adding a timer. In a sprint, look at both correct answers and accuracy: more attempts do not always mean more correct answers.

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About this practice

In untimed practice, active time includes answers, review and drawing. Sprint review is not timed. Background tabs never count. Answers stay in this tab.

Mental math lets you practice a calculation method, then check it against worked steps. Choose a focus, the operations and a difficulty. Start with 10 untimed questions, or choose a 2- or 8-minute sprint when you want to practice with a time limit.

Choose the task

  • Calculate: work out the result.
  • Missing number: find the hidden number that makes the equation true.
  • Estimate: choose the closest of four answers, using nearby convenient numbers.
  • Word problems: decide which operation fits the situation, then calculate.
  • Multi-step: combine operations, fractions, percentages and decimals. This focus always uses Mixed operations and an Untimed session.
  • Fractions, decimals and negatives: follow the order of operations and keep fractional values exact.
  • Work back to the missing number: undo the operations in reverse order, then substitute your answer to check it.

For the first four focuses, you can choose Mixed operations or practice addition, subtraction, multiplication or division alone. Calculate, Missing number, Word problems and Multi-step use whole-number answers of zero or greater. The last two focuses also accept fractions, decimals and negative values. Follow the hint beside the answer field. All three focuses with several calculation steps are untimed.

Worked methods

Calculate, Hard: 22 × 14

Split 22 into 20 + 2. (20 × 14) + (2 × 14) = 280 + 28 = 308. Splitting one factor keeps the product unchanged because both parts are multiplied by the other factor.

Missing number, Medium: □ × 5 = 55

The missing value is a factor, so undo multiplication with division. Use the relationship between the numbers to find the missing number: 55 ÷ 5 = 11. Enter 11, rather than the result already shown on the right.

Estimate, Easy: 209 + 59

The choices are 270, 310, 250, 290. Estimate with nearby numbers: 210 + 60 = 270. Check the exact calculation to find the closest choice: 209 + 59 = 268. The exact total is 2 away from 270; the other choices are farther away. Choose the closest option, rather than entering the exact total.

Multi-step, Easy: 10% × 180 + 6

Find 10% of 180 first: 180 ÷ 10 = 18. Then add 6: 18 + 6 = 24. Apply the percentage to 180 before adding the extra 6.

What difficulty changes

For Calculate, Missing number and Word problems, the numbers used in addition and subtraction range from 1 to 20 on Easy, 10 to 99 on Medium, and 100 to 999 on Hard. Multiplication uses factors from 2 to 10, 12 or 25 respectively; division reverses those multiplication facts.

Estimate builds larger calculations around convenient nearby numbers. Multi-step changes the length of the reasoning: two operations on Easy, three on Medium, and four or more on Hard. Parentheses and linked parts of a story matter as well as the size of the numbers.

What your result means

Your score is correct answers out of answers submitted. Untimed practice lets you see methods after each answer or at the end. With After each, read the method and choose when to continue. With At the end, each answer opens the next question immediately. In a sprint, a valid submission also moves straight to the next question, including after an error; methods appear at the end. The sprint timer pauses in a background tab.

Compare the same focus, operations, difficulty and session length. For sprints, read both correct answers and accuracy: submitting more answers can also add more mistakes. A result is saved after all 10 untimed questions, or after the full sprint time with at least one answer. Ending early shows your available results without saving a completed round.

Learn the product-splitting method in Multiply in parts. The guide Mental multiplication: six useful methods compares it with other ways to simplify a product. For timed arithmetic in an interview context, see Quant interview math test: how to prepare.

For a broader mix of practices, explore the math practice test. Sign in free to start a test.

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