CBSE Grade 7 Mathematics Exam Survival Guide

Window: Annual Exam | Units: Numbers, Algebra, Geometry, Mensuration, Data Handling

Must-do topics (with how-to + examples)

• Integers → Addition/subtraction on number line.
  Ex: (−7) − (−5) = (−7) + 5 = −2.
• Fractions & Decimals → LCM denominator → add/subtract.
  Ex: 3/4 + 5/6 = 9/12 + 10/12 = 19/12 = 1 7/12.
• Rational Numbers → Closure, commutative, distributive properties.
• Simple Equations → Opposite operation both sides.
  Ex: 2x+7=15 → 2x=8 → x=4.
• Ratio & Proportion / Unitary Method → Direct & inverse proportion word problems.
• Geometry → Lines & angles; properties of triangles (sum=180°); congruence criteria (SSS, SAS, ASA, RHS).
• Mensuration → Area/perimeter of square, rectangle, triangle, circle; surface area/volume of cube, cuboid.
• Data Handling → Bar graph, double bar, probability basics (favourable/total).

Top traps (avoid)

• Missing brackets in negatives → Wrong signs.
• Confusing area (cm²) vs perimeter (cm).
• Forgetting congruence criteria conditions.
• Writing answers without units.

Time split

• Numbers/Algebra 40% | Geometry/Mensuration 40% | Data 20%
• 1 mark Qs first, 5–6 markers mid-paper, diagrams last 20 min.

Last-48h checklist

• 20 sums: (HCF/LCM, rational numbers, simple equations).
• 10 constructions (triangles, angle bisectors).
• Formula card: area, volume, probability.
• 1 past paper under 3-hr timing.

Quick facts / formulas

• Sum of angles in triangle = 180°.
• Area of circle = πr²; Circumference = 2πr.
• SA cube = 6a²; Volume cube = a³.
• Probability = (favourable outcomes) ÷ (total outcomes).

Speed tactics

• Box answers with units.
• In word problems: underline data → write equation → solve.
• Check last step signs in integer sums.

Exam-day mini-plan

• Warm-up: 5 one-markers → easy confidence.
• Then do algebra/numbers, next geometry proofs, then mensuration, last data.

Keep 15 min for unit check + diagram labels.