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Class 7 Math Practice Test Online

In Class 7, mathematics becomes more application-driven. This set checks whether students can translate word problems into equations, compare proportional relationships, and solve geometry and arithmetic tasks with clear working steps.

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About this Class 7 Math practice test

Class 7 Math practice helps students sharpen multi-step problem-solving through rational numbers, algebraic expressions, percentages, practical geometry, and data interpretation. The focus is on method clarity, not memorization.

Class 7 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 the integer expression: -25 + (-14) - (-18).
2. Simplify the given ratio down to its lowest baseline terms: 45 to 75.
3. Find the value of X that balances the fraction equivalence matrix: 5/9 = X/54.
4. Find the Lowest Common Multiple (LCM) for the three numbers: 6, 8, and 24.
5. Calculate the total area of a right-angled triangle that features a base line of 12 cm and a height line of 7 cm.
6. Solve the fraction division operation: (6/7) divided by (3/4).
7. If 4 identical cargo crates weigh a total of 120 kg, what is the weight of 9 identical crates using the unitary method?
8. Express the improper fraction value 38/7 as a standard mixed fraction.
9. What type of angle pair is formed when the sum of their degree measures equals exactly 90 degrees?
10. Look at the data record: The daily production yields across five cycles were 45, 50, 55, 40, and 60 units. What is the calculated mean score value?
11. Write the standard placement value name for the digit 7 in the large decimal number: 124.875.
12. Evaluate the algebraic expression: 5x - 12, when the value of the variable x is exactly 4.
13. Solve the single-step variable equation to find the value of y: y + 145 = 320.
14. Convert the metric mass measure: 6750 grams = ___ kilograms.
15. Multiply the negative integer and positive integer values: -8 x 9 = ___.
16. What specific name is given to a geometric polygon that features exactly eight straight sides?
17. Solve the expression using standard operations order rules: 36 + 24 divided by 6 - 4 x 3.
18. Write the correct comparison symbol (greater than, less than, or equal to) to complete the statement: -15 ___ -11.
19. If the ratio of investment assets to liability channels is 5:3 and the total liabilities equal 45000 rupees, find the total value of investment assets.
20. Find the total perimeter configuration of a regular octagon where each side line measures 6 cm.
21. How many total lines of symmetry can be drawn perfectly across a standard square layout?
22. A manufacturing line completed 72 perfect parts out of a total maximum order run of 90 parts. Express this yield as a percentage value.
23. Convert the spatial area measure: 7 square meters = ___ square centimeters.
24. Find the value of the variable P in the balance equation: 6P = 72.
25. Two angles are supplementary. If one angle measures exactly 115 degrees, what is the degree measure of the other angle?
26. Divide the fraction value: 5 divided by 1/3 = ___.
27. What is the value of 4 raised to the power of 3?
28. In a shipment cluster of 250 glass modules, 4% were found defective during testing. How many modules were defective?
29. If the straight diameter line of a large circular track measures 42 cm, what is its radius length?
30. Solve the integer subtraction operation: 18 - (-32) = ___.

Syllabus & Core Topics

Integer operations, negative number line grids, and absolute valuesRatio and proportion layouts, simplified fractions, and the unitary methodBasic algebraic variable expressions and single-step linear balance equationsArea and perimeter formulas for rectangles, squares, and complex trianglesGeometric line properties, intersecting paths, and angle trackingData handling systems, bar graphs, and tally marks compilation fields

Class 7 maths introduces rational numbers, exponents, and algebraic identities — a meaningful step up from Class 6. Spending time on these topics builds the calculation discipline that keeps students steady as concepts get progressively harder. Students who regularly test themselves here tend to feel much more prepared when Class 8 arrives.

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Why this practice page is useful

Ratios, integer number lines, and variable notation, mastered early, prevent the kind of setup errors that trip students up in algebra later.
The step-by-step progression from basic lines and angles to multi-sided polygon area calculations sharpens core spatial thinking.
Multi-step algebraic expressions and simple data-chart reading build the careful, step-by-step tracking habit that this kind of math depends on.

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 the integer expression: -25 + (-14) - (-18).
-21
Rewrite subtracting a negative as addition: -25 + (-14) - (-18) = -25 - 14 + 18 = -39 + 18 = -21.
2. Simplify the given ratio down to its lowest baseline terms: 45 to 75.
3:5 (or 3 to 5)
Find the GCF of 45 and 75, which is 15. Divide both sides: 45 ÷ 15 = 3, 75 ÷ 15 = 5. Simplified ratio: 3:5.
3. Find the value of X that balances the fraction equivalence matrix: 5/9 = X/54.
30
Cross-multiply: 5 × 54 = 9 × X → 270 = 9X → X = 270 ÷ 9 = 30.
4. Find the Lowest Common Multiple (LCM) for the three numbers: 6, 8, and 24.
24
24 is divisible by both 6 (24 ÷ 6 = 4) and 8 (24 ÷ 8 = 3), so 24 is already the LCM of all three numbers.
5. Calculate the total area of a right-angled triangle that features a base line of 12 cm and a height line of 7 cm.
42 square centimeters (cm2)
Area of a triangle = (1/2) × base × height = (1/2) × 12 × 7 = 6 × 7 = 42 cm².
6. Solve the fraction division operation: (6/7) divided by (3/4).
8/7 (or 1 1/7)
To divide by a fraction, we multiply by its inverse or reciprocal. This converts the problem into (6/7) × (4/3) = 24/21, which simplifies down to 8/7 or 1 1/7.
7. If 4 identical cargo crates weigh a total of 120 kg, what is the weight of 9 identical crates using the unitary method?
270 kg
Step 1 — weight of 1 crate: 120 ÷ 4 = 30 kg. Step 2 — weight of 9 crates: 30 × 9 = 270 kg.
8. Express the improper fraction value 38/7 as a standard mixed fraction.
5 3/7
Divide 38 by 7: 7 × 5 = 35 with remainder 3. So 38/7 = 5 whole parts and 3/7 remaining = 5 3/7.
9. What type of angle pair is formed when the sum of their degree measures equals exactly 90 degrees?
Complementary angles
Complementary comes from Latin meaning 'to complete.' Two angles are complementary when they add up to exactly 90°, completing a right angle.
10. Look at the data record: The daily production yields across five cycles were 45, 50, 55, 40, and 60 units. What is the calculated mean score value?
50
Mean = sum ÷ count = (45 + 50 + 55 + 40 + 60) ÷ 5 = 250 ÷ 5 = 50.
11. Write the standard placement value name for the digit 7 in the large decimal number: 124.875.
Hundredths
After the decimal point: tenths (8), hundredths (7), thousandths (5). The digit 7 sits in the hundredths place, representing 7/100 = 0.07.
12. Evaluate the algebraic expression: 5x - 12, when the value of the variable x is exactly 4.
8
Substitute x = 4: 5(4) - 12 = 20 - 12 = 8.
13. Solve the single-step variable equation to find the value of y: y + 145 = 320.
175
Isolate y by subtracting 145 from both sides: y = 320 - 145 = 175.
14. Convert the metric mass measure: 6750 grams = ___ kilograms.
6.75
1 kilogram = 1000 grams. Divide by 1000: 6750 ÷ 1000 = 6.75 kg.
15. Multiply the negative integer and positive integer values: -8 x 9 = ___.
-72
A negative number multiplied by a positive number always gives a negative result: 8 × 9 = 72, so -8 × 9 = -72.
16. What specific name is given to a geometric polygon that features exactly eight straight sides?
Octagon
'Octo' is Latin for eight. An octagon has 8 sides and 8 interior angles. A regular octagon has all sides equal and all angles measuring 135°.
17. Solve the expression using standard operations order rules: 36 + 24 divided by 6 - 4 x 3.
28
Apply BODMAS — division and multiplication first: 24 ÷ 6 = 4, and 4 × 3 = 12. Then left to right: 36 + 4 - 12 = 28.
18. Write the correct comparison symbol (greater than, less than, or equal to) to complete the statement: -15 ___ -11.
less than
On the number line, numbers further left are smaller. -15 is to the left of -11, so -15 < -11.
19. If the ratio of investment assets to liability channels is 5:3 and the total liabilities equal 45000 rupees, find the total value of investment assets.
75000 rupees
Ratio 5:3 means for every 3 parts of liabilities there are 5 parts of assets. One part = 45000 ÷ 3 = 15000. Assets = 5 × 15000 = 75000 rupees.
20. Find the total perimeter configuration of a regular octagon where each side line measures 6 cm.
48 cm
A regular octagon has 8 equal sides. Perimeter = number of sides × side length = 8 × 6 = 48 cm.
21. How many total lines of symmetry can be drawn perfectly across a standard square layout?
4
A square has 4 lines of symmetry: one vertical, one horizontal, and two diagonal (corner to corner). Each line divides the square into two identical mirror-image halves.
22. A manufacturing line completed 72 perfect parts out of a total maximum order run of 90 parts. Express this yield as a percentage value.
80%
Percentage = (part ÷ whole) × 100 = (72 ÷ 90) × 100 = 0.8 × 100 = 80%.
23. Convert the spatial area measure: 7 square meters = ___ square centimeters.
70000
1 m = 100 cm, so 1 m² = 100 × 100 = 10,000 cm². Therefore 7 m² = 7 × 10,000 = 70,000 cm².
24. Find the value of the variable P in the balance equation: 6P = 72.
12
Divide both sides by 6 to isolate P: P = 72 ÷ 6 = 12.
25. Two angles are supplementary. If one angle measures exactly 115 degrees, what is the degree measure of the other angle?
65 degrees
Supplementary angles add up to 180°. Other angle = 180° - 115° = 65°.
26. Divide the fraction value: 5 divided by 1/3 = ___.
15
When we divide by a fraction, we can multiply by its reciprocal instead. Flipping 1/3 to 3/1 gives us 5 × 3 = 15.
27. What is the value of 4 raised to the power of 3?
64
4³ means 4 multiplied by itself 3 times: 4 × 4 × 4 = 16 × 4 = 64.
28. In a shipment cluster of 250 glass modules, 4% were found defective during testing. How many modules were defective?
10
4% of 250 = (4 ÷ 100) × 250 = 0.04 × 250 = 10 defective modules.
29. If the straight diameter line of a large circular track measures 42 cm, what is its radius length?
21 cm
The radius is always half the diameter: radius = diameter ÷ 2 = 42 ÷ 2 = 21 cm.
30. Solve the integer subtraction operation: 18 - (-32) = ___.
50
When we subtract a negative number, it has the same effect as adding its positive counterpart. Therefore, this equation simplifies directly into 18 + 32 = 50.

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)

Measures integer operations, negative number lines, fraction addition, simplifying fractions, and order of operations.

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

Tests simplified ratios, the unitary method, single-variable linear equations, and expression evaluation.

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

Assesses 2D polygon areas, perimeter lines, parallel vs perpendicular classifications, angle properties, and bar data graphs.

Class 7 Math chapters covered

Chapter 1: The Integer System: Working with negative values, absolute value, and the number line.
Chapter 2: Ratios and Scaling: Solving multi-part proportions, simplifying to lowest terms, and applying the unitary method.
Chapter 3: The Variable Language: Introducing algebraic letters, substitution, and basic balance equations.
Chapter 4: Fractions in Depth: Multi-step multiplication, division, and mixed-number operations using reciprocals.
Chapter 5: Area and Perimeter: Measuring right triangles, multi-sided shapes, and converting between metric units.
Chapter 6: Data Handling: Calculating the mean, using tally marks, and reading bar graphs.
Chapter 7: Angles and Lines: Working with intersecting lines, supplementary angles, and lines of symmetry.

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