This free mental math test gives you 2 minutes of quick sums, with no calculator. The sums come in the 5 number types that SAT and JEE Main maths use most: fractions, percents, squares, products and estimates. At the end you see your score for each type and the method to learn next.
2 minutes · 5 types · a score for each type · a printable sheet
Take the 2-minute mental math test
Press Start. Type each answer and press Enter, or tap an option for the estimates. Skip any sum you cannot do fast. No calculator.
0 right · 0 wrong · 0 skipped
Fractions, percents, squares, products and estimates.
How the test works, and what it cannot tell you
Each sum is made at random when it shows, so no two tries are the same. The types take turns. In every run of 5 sums you get one of each type, so a weak type cannot hide.
| Type | Example | Where it shows up |
|---|---|---|
| Fractions | 3/4 of 36 = 27 | Probability, ratios, coordinate steps |
| Percents | 15% of 80 = 12 | SAT word problems on prices, rates and change |
| Squares | 23² = 529 | Discriminants, distances, right triangles |
| Products | 14 × 16 = 224 | Almost every line of working in JEE Main |
| Estimates | 612 × 49 is closest to 30,000 | Ruling out options before you work in full |
How it scores. A typed answer is right only if it is exact. You may type 2,491 or 2491. An empty box is not counted: the test asks you to type an answer or press Skip. A skip counts as a sum you did not get right.
The limit: speed is not the full maths level
The test times bare sums. It does not check if your child can read a question, pick a method or set up the working. Those cause more lost marks than slow sums. A student can score high here and still lose marks in the real paper. The sums are made up for practice. They are not real SAT or JEE Main questions.
Why sum speed matters more in JEE Main than in the SAT
| Rule | JEE Main | SAT |
|---|---|---|
| Calculator | Not allowed. The NTA bulletin bars calculators and log tables. | Allowed in the whole maths section. Bluebook has Desmos built in, and you may bring an approved calculator. |
| Maths questions | 25, inside a 3-hour paper of 75 questions | 44, in two modules of 35 minutes |
| What speed buys you | Time for the long questions, and fewer slips on a −1 mark | Quick checks of what you typed into Desmos |
So JEE Main students should take this test seriously. Every product and square in the paper is by hand. For SAT students, the estimate score matters most. An estimate tells you when a Desmos answer is out by a factor of 10. To pace the whole paper, read JEE maths time management. For the full SAT rules, see is a calculator allowed on the SAT.
What your mental math test score means
Look at two numbers: how many you got right, and how many of your answers were right. Speed with many wrong answers is worse than a slower, sure pace.
| Right in 2 minutes | Band | What to do next |
|---|---|---|
| 0 to 7 | Start here | Make each method sure before you time it |
| 8 to 14 | Building | One type a week, 10 minutes a day |
| 15 to 21 | Steady | Work on the type with the lowest score |
| 22 or more | Quick | Keep it up, and keep checking each answer |
These bands are an MQ guide. We set them from the time each type of sum takes with a sure method. They are not an official figure, and they are not based on a study of students.
The type table matters more than the band. If one type scores far below the others, learn the method for it. For estimates, percents, fractions and squares near 50 and 100, use our mental maths tricks for the SAT and JEE. Then take the test again a week later and compare that row.
Many wrong, few skipped? You are rushing. In JEE Main a wrong answer costs 1 mark, and a blank costs 0. Slow down until 9 in 10 answers are right.
Free BMI Maths Test
Slow, or wrong under time? Find out which.
A low score can come from ROT (ran out of time), CMT (calculation mistake) or CNC (concept not clear). Each one needs a different fix. The Free BMI Maths Test sorts every mistake into one of 6 types and finds your child’s real maths level.
Printable sheet: 40 sums with answers
For practice away from a screen. Print the sheet, fold the answers under, and set a timer for 5 minutes. Do the sums in order and skip any that take too long. Mark your work with the answers, then note how many you got right of each type. There are 8 of each type, in turns. Every answer was checked in Python.
Mental maths speed sheet (Math Quotient)
- 1/4 of 36 =
- 65% of 240 =
- 58² =
- 65 × 5 =
- Closest to 785 × 25: (A) 10,000, (B) 20,000, (C) 14,000, (D) 200,000
- 5/12 of 144 =
- 85% of 160 =
- 79² =
- 42 × 5 =
- Closest to 3,929 ÷ 9: (A) 620, (B) 440, (C) 310, (D) 880
- 1/3 of 27 =
- 40% of 280 =
- 51² =
- 41 × 8 =
- Closest to 199 × 81: (A) 16,000, (B) 32,000, (C) 11,000, (D) 8,000
- 2/5 of 50 =
- 30% of 60 =
- 72² =
- 96 × 4 =
- Closest to 4,890 ÷ 4: (A) 840, (B) 600, (C) 1,200, (D) 2,400
- 3/8 of 48 =
- 5% of 300 =
- 67² =
- 12 × 13 =
- Closest to 250 × 83: (A) 21,000, (B) 10,000, (C) 29,000, (D) 15,000
- 5/6 of 54 =
- 75% of 200 =
- 16² =
- 15 × 19 =
- Closest to 4,809 ÷ 7: (A) 1,400, (B) 340, (C) 6,900, (D) 690
- 2/3 of 12 =
- 20% of 300 =
- 35² =
- 12 × 18 =
- Closest to 816 × 14: (A) 11,000, (B) 7,700, (C) 110,000, (D) 15,000
- 1/5 of 20 =
- 15% of 160 =
- 54² =
- 14 × 16 =
- Closest to 7,288 ÷ 5: (A) 750, (B) 15,000, (C) 2,100, (D) 1,500
Answers
- 9
- 156
- 3,364
- 325
- (B) 20,000
- 60
- 136
- 6,241
- 210
- (B) 440
- 9
- 112
- 2,601
- 328
- (A) 16,000
- 20
- 18
- 5,184
- 384
- (C) 1,200
- 18
- 15
- 4,489
- 156
- (A) 21,000
- 45
- 150
- 256
- 285
- (D) 690
- 8
- 60
- 1,225
- 216
- (A) 11,000
- 4
- 24
- 2,916
- 224
- (D) 1,500
Questions people ask about a mental math test
What is a good score on a mental math test?
There is no official figure. On this test, our guide calls 15 to 21 right in 2 minutes steady and 22 or more quick. Check how many of your answers were right, too. Aim for 9 in 10.
Does mental maths help in JEE Main?
Yes. Calculators are not allowed, so every sum is by hand. Fast, sure sums leave more time for long questions. But most marks come from knowing the method, so speed is only one part.
Do I need mental maths if the SAT has Desmos?
Less than for JEE Main. Desmos does the big sums. Estimates still help you catch a typing slip, and easy sums are often quicker in your head than on the screen.
How often should I take the test?
Once a week is enough, at the same time of day. Compare the type table each time, not only the total. Use the printable sheet on other days.
Is this a full maths level test?
No. It checks speed on bare sums only. The Free BMI Maths Test finds the real maths level. It maps maths into 148 topics, 3,200 concepts and 320 levels, and every student starts at Level 1.
Fast sums, but marks still lost?
The Free BMI Maths Test finds your child’s real maths level and the reason for each mistake.
Sources
- NTA, JEE (Main) 2027 Information Bulletin: paper pattern (75 questions, 25 in maths, 3 hours), marking, and barred items (calculator, log tables).
- College Board, SAT calculator policy: Desmos in Bluebook, own approved calculator.
- College Board, SAT test structure: 44 maths questions, two 35-minute modules.
Facts checked on 12 November 2026. The sums, the bands and the type advice are our own. The tool was tested with real clicks at phone and desktop widths, and every answer on the sheet was checked in Python.
