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Class 6 Math Practice Test Online

Class 6 Math introduces abstract thinking for the first time in a structured way. These questions test how students shift from arithmetic routines to algebraic patterns, ratio logic, and geometry-based calculations in day-to-day school problems.

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About this Class 6 Math practice test

This Class 6 Math practice set builds confidence in the fundamentals that prepare students for higher classes. It includes integers, ratios, fractions, basic algebra, perimeter and area, and problem-solving steps that strengthen numerical reasoning.

Class 6 Math Practice Test sample questions

These starter questions help you launch a math mock test quickly. Swap them with your own worksheet, notebook, or textbook questions any time.

1. Calculate the value of: -15 + (-8) - (-12).
2. Simplify the given ratio to its lowest terms: 24 to 36.
3. Find the value of X that balances the fraction equivalence: 3/7 = X/28.
4. Find the Lowest Common Multiple (LCM) for the three numbers: 4, 6, and 12.
5. Calculate the total area of a right-angled triangle that features a base line of 8 cm and a height line of 5 cm.
6. Solve the fraction division operation: (4/5) divided by (2/3).
7. If 5 identical boxes of pencils cost 75 rupees, what is the cost of 8 identical boxes using the unitary method?
8. Express the improper fraction value 17/5 as a standard mixed fraction.
9. What type of angle is formed when two lines cross each other perfectly at 90 degrees?
10. Look at the data record: The scores of five students were 12, 15, 18, 10, and 15. What is the calculated mean score?
11. Write the standard placement value for the digit 6 in the large decimal number: 45.362.
12. Evaluate the algebraic expression: 3x - 7, when the value of the variable x is exactly 6.
13. Solve the single-step variable equation to find the value of y: y + 85 = 210.
14. Convert the metric mass measure: 4250 grams = ___ kilograms.
15. Multiply the negative integer and positive integer values: -6 x 7 = ___.
16. What name is given to a geometric polygon that features exactly six straight sides?
17. Solve the expression using standard operations order rules: 24 + 16 divided by 4 - 3 x 2.
18. Write the correct comparison symbol (greater than, less than, or equal to) to complete the statement: -9 ___ -4.
19. If the ratio of boys to girls in a hall is 4:5 and there are 20 boys, find the total number of girls.
20. Find the total perimeter configuration of a regular hexagon where each side line measures 8 cm.
21. How many total lines of symmetry can be drawn perfectly across a standard equilateral triangle?
22. A student scored 48 marks out of a total maximum of 60 marks. Express this test score as a percentage value.
23. Convert the spatial area measure: 4 square meters = ___ square centimeters.
24. Find the value of the variable P in the equation: 4P = 48.
25. Two angles are supplementary. If one angle measures exactly 75 degrees, what is the degree measure of the other angle?
26. Divide the fraction value: 3 divided by 1/4 = ___.
27. What is the value of 5 raised to the power of 3?
28. In a class of 40 students, 60% prefer playing football. How many students prefer playing football?
29. If the straight diameter line of a large circular track measures 28 cm, what is its radius length?
30. Solve the integer subtraction operation: 14 - (-25) = ___.

Syllabus & Core Topics

Integer operations, negative number lines, and absolute valuesRatio and proportion concepts, simplified fractions, and the unitary methodWriting algebraic variables and solving simple equationsArea and perimeter formulas for rectangles, squares, and trianglesGeometric lines, intersecting paths, and angle measurementsOrganizing data with tally marks and reading bar graphs

Class 6 is when algebra properly begins, and that shift from arithmetic to variables trips up many students without enough practice. Working through integers, ratio and proportion, basic equations, and geometric properties at this level builds the logical thinking skills that make Class 7 and 8 maths far more manageable.

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Why this practice page is useful

Learning positive and negative integers, ratio representation, and simple variables helps prevent common mistakes in algebra.
Calculating polygon areas and perimeters from simple boundary lines develops clear geometric reasoning.
Evaluating multi-step mathematical expressions and reading basic data charts builds strong logical thinking skills.

Answer key & quick explanations

Short answers for the sample questions above. Use this to self-check before generating a fresh AI-built mock test.

1. Calculate the value of: -15 + (-8) - (-12).
-11
First add the two negative numbers: -15 + -8 = -23. Subtracting a negative means adding, so -23 - (-12) becomes -23 + 12 = -11.
2. Simplify the given ratio to its lowest terms: 24 to 36.
2:3 (or 2 to 3)
Find the greatest common factor of 24 and 36, which is 12. Divide both terms by 12 to get 2:3.
3. Find the value of X that balances the fraction equivalence: 3/7 = X/28.
12
To keep the fractions equal, look at how the denominator increases. Multiply 7 by 4 to get 28, so we must also multiply the top number 3 by 4, giving 12.
4. Find the Lowest Common Multiple (LCM) for the three numbers: 4, 6, and 12.
12
The LCM is the smallest number divisible by all three numbers. Since 12 can be divided by 4, 6, and 12 exactly, the LCM is 12.
5. Calculate the total area of a right-angled triangle that features a base line of 8 cm and a height line of 5 cm.
20 square centimeters (cm2)
Use the triangle area formula: 1/2 × base × height. So 1/2 × 8 × 5 = 4 × 5 = 20 square centimeters.
6. Solve the fraction division operation: (4/5) divided by (2/3).
6/5 (or 1 1/5)
To divide by a fraction, multiply by its reciprocal. So 4/5 ÷ 2/3 becomes 4/5 × 3/2 = 12/10 = 6/5, which is 1 1/5.
7. If 5 identical boxes of pencils cost 75 rupees, what is the cost of 8 identical boxes using the unitary method?
120 rupees
First find the cost of 1 box: 75 ÷ 5 = 15 rupees. Then multiply by 8 boxes: 15 × 8 = 120 rupees.
8. Express the improper fraction value 17/5 as a standard mixed fraction.
3 2/5
Divide 17 by 5. The quotient is 3 and the remainder is 2, so the mixed fraction is 3 2/5.
9. What type of angle is formed when two lines cross each other perfectly at 90 degrees?
Right angle (or perpendicular lines)
An angle measuring exactly 90 degrees is called a right angle. Lines that meet at 90 degrees are also called perpendicular lines.
10. Look at the data record: The scores of five students were 12, 15, 18, 10, and 15. What is the calculated mean score?
14
Add all the scores: 12 + 15 + 18 + 10 + 15 = 70. Then divide by 5 students: 70 ÷ 5 = 14.
11. Write the standard placement value for the digit 6 in the large decimal number: 45.362.
Hundredths
After the decimal point, the first place is tenths, the second is hundredths, and the third is thousandths. In 45.362, the digit 6 is in the hundredths place.
12. Evaluate the algebraic expression: 3x - 7, when the value of the variable x is exactly 6.
11
Substitute x = 6 into the expression: 3(6) - 7 = 18 - 7 = 11.
13. Solve the single-step variable equation to find the value of y: y + 85 = 210.
125
Subtract 85 from both sides of the equation: y = 210 - 85 = 125.
14. Convert the metric mass measure: 4250 grams = ___ kilograms.
4.25
We get the weight in kilograms by dividing the 4250 grams by 1000 (since 1 kg contains 1000 g). This calculation yields 4.25 kg.
15. Multiply the negative integer and positive integer values: -6 x 7 = ___.
-42
A negative number multiplied by a positive number gives a negative answer. Since 6 × 7 = 42, the result is -42.
16. What name is given to a geometric polygon that features exactly six straight sides?
Hexagon
A polygon with six sides is called a hexagon. The prefix 'hexa-' means six.
17. Solve the expression using standard operations order rules: 24 + 16 divided by 4 - 3 x 2.
22
Use order of operations: divide and multiply first. 16 ÷ 4 = 4 and 3 × 2 = 6, so the expression becomes 24 + 4 - 6 = 22.
18. Write the correct comparison symbol (greater than, less than, or equal to) to complete the statement: -9 ___ -4.
less than
On a number line, -9 lies to the left of -4, so -9 is less than -4.
19. If the ratio of boys to girls in a hall is 4:5 and there are 20 boys, find the total number of girls.
25
If 4 parts equal 20 boys, then 1 part equals 5. Girls are 5 parts, so 5 × 5 = 25 girls.
20. Find the total perimeter configuration of a regular hexagon where each side line measures 8 cm.
48 cm
A regular hexagon has 6 equal sides. Multiply 6 × 8 cm to get a perimeter of 48 cm.
21. How many total lines of symmetry can be drawn perfectly across a standard equilateral triangle?
3
An equilateral triangle has all sides and angles equal. It has one line of symmetry through each vertex and the midpoint of the opposite side, making 3 in total.
22. A student scored 48 marks out of a total maximum of 60 marks. Express this test score as a percentage value.
80%
Use the percentage formula: obtained marks ÷ total marks × 100. So 48 ÷ 60 × 100 = 80%.
23. Convert the spatial area measure: 4 square meters = ___ square centimeters.
40000
One meter is 100 centimeters, so a square meter is 100 cm by 100 cm, which equals 10,000 square centimeters. Multiplying that by 4 gives you 40,000 square centimeters.
24. Find the value of the variable P in the equation: 4P = 48.
12
Divide both sides of the equation by 4 to isolate P. That gives P = 48 ÷ 4 = 12.
25. Two angles are supplementary. If one angle measures exactly 75 degrees, what is the degree measure of the other angle?
105 degrees
Supplementary angles add up to 180 degrees. So the other angle is 180 - 75 = 105 degrees.
26. Divide the fraction value: 3 divided by 1/4 = ___.
12
We find the quotient by multiplying the whole number by the denominator of the divisor fraction (flipping 1/4 to 4). That is, 3 × 4 = 12.
27. What is the value of 5 raised to the power of 3?
125
5 raised to the power of 3 means 5 × 5 × 5. Multiplying gives 125.
28. In a class of 40 students, 60% prefer playing football. How many students prefer playing football?
24
Find 60% of 40: 60/100 × 40 = 24. So 24 students prefer football.
29. If the straight diameter line of a large circular track measures 28 cm, what is its radius length?
14 cm
The radius is half of the diameter. Half of 28 cm is 14 cm.
30. Solve the integer subtraction operation: 14 - (-25) = ___.
39
When you subtract a negative number, the two minus signs cancel out to make an addition. This gives 14 + 25 = 39.

Curriculum Mapping & Learning Guide

Use this breakdown to identify which skills each question tests and guide post-test review.

Integers, Fractions & Multi-Step Arithmetic (Questions 1, 3-4, 6, 8, 11-12, 15, 17-18, 26, 30)

Checks calculations on negative number lines, adding fractions, simplifying terms, and working with order of operations.

Ratios, Proportions & Algebraic Expressions (Questions 2, 7, 13, 19, 22, 24, 28)

Tests simplifying ratios, applying the unitary method, and evaluating simple algebraic expressions.

Geometric Area, Lines, Angles & Data Graphs (Questions 5, 9-10, 14, 16, 20-21, 23, 25, 27, 29)

Measures polygon areas, perimeters, parallel or perpendicular lines, angle properties, and reading data tables.

Class 6 Math chapters covered

Chapter 1: Understanding positive and negative integers, absolute value, and integer number lines.
Chapter 2: Working with ratios and proportions, simplifying terms, and using the unitary method.
Chapter 3: Learning the basics of variables, algebraic notation, and solving simple equations.
Chapter 4: Multiplying and dividing fractions, finding reciprocals, and sorting mixed numbers.
Chapter 5: Calculating areas of right triangles, perimeters of polygons, and converting units.
Chapter 6: Calculating averages, counting with tally marks, and reading bar graphs.
Chapter 7: Measuring angles, parallel and perpendicular lines, and finding line symmetries.

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