This free CBSE Class 7 maths practice paper 2026-27 targets the concept-heavy topics that define the middle school maths experience: rational numbers and their operations on the number line, linear equations in one variable, properties of triangles and congruence, and statistical concepts including mean, median and mode. Class 7 is often where the gap between students who understand maths conceptually and those who rely on procedures becomes visible. This 20-question MCQ paper is designed to reveal that gap clearly — and help close it. Each question tests understanding, not just recall, and the detailed answer key explains the reasoning behind every solution. Print it free on A4 and use it as a pre-exam diagnostic or a weekly challenge for your child.
✅ Answer Key & Solutions
Q1
B
LCD=10: −6/10 + 7/10 = 1/10
Q2
B
180 − 65 − 72 = 43°
Q3
C
2x + 10 = 3x − 1 → x = 11
Q4
A
Additive inverse of −8/11 is +8/11
Q5
C
28/40 × 100 = 70%
Q6
C
180 − 55 − 55 = 70°
Q7
B
(3+2)x² + (−5+7)x = 5x² + 2x
Q8
B
Exterior angle theorem: exterior angle = sum of two non-adjacent interior angles
Q9
B
(5×12)/(6×25) = 60/150 = 2/5 (both negative, product is positive)
Q10
C
πr² = 22/7 × 7 × 7 = 154 m²
Q11
A
25 + 144 = 169 = 13². Yes, right-angled
Q12
C
2x = 14 → x = 7
Q13
C
⅖ × 12500 = 5000
Q14
C
The distributive property of multiplication over addition
Q15
B
C = πd = 22/7 × 14 = 44 cm
Q16
C
Cricket=5 parts=2.5h → 1 part=0.5h; Study=3×0.5=1.5h; Total=2.5+1.5=4h
Q17
A
LCD=12: 9x/12 − 4x/12 = 5/12 → 5x/12 = 5/12 → x = 1
Q18
C
Equilateral triangle has all three sides equal
Q19
A
−3/7 × 14/9 = −42/63 = −2/3
Q20
B
Negative x, positive y → Quadrant II
Frequently Asked Questions
How deep should a Class 7 student understand rational numbers before moving on?
A Class 7 student should be able to place rational numbers on a number line, compare them, and perform all four operations confidently. Without this depth, Class 8 topics like powers and exponents become much harder. Use the answer key in this paper to check understanding of each step — not just whether the final answer is correct.
My child gets theory right but loses marks in exams — what helps?
This is a very common pattern in Class 7. The gap is usually in applying concepts under time pressure and reading MCQ options carefully. Timed practice — working through 20 questions in 45 minutes — trains both speed and careful reading. Reviewing incorrect answers with the answer key builds the self-correction habit that improves exam scores.
Is this paper useful for NTSE or higher Olympiad preparation at Class 7?
Yes, as a starting point. NTSE and higher Olympiads require deeper problem-solving than this paper alone, but the conceptual grounding in rational numbers, algebra and geometry tested here is essential. Use this paper to confirm baseline readiness, then progress to harder multi-concept problems with Vybd's personalised sets.
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