Class 7 ICSE Maths Sample Paper 2026 with Solutions

Step 1: Divide the absolute values: 18 ÷ 3 = 6

Step 2: Both numbers are negative, so the result is positive. [(-18) ÷ (-3) = 6]

Step 1: Positive numbers: 7 + 8 = 15

Step 2: Negative numbers: (-12) + (-3) = -15

Step 3: Combine: [15 + (-15) = 0]

Step 1: (-2)³ = -8 (odd power, negative)

Step 2: (-3)² = 9 (even power, positive)

Step 3: (-1)⁵ = -1 (odd power, negative)

Step 4: Combine: [-8 × 9 + (-1) = -72 + (-1) = -73]

Step 1: Divide numerator by denominator:

Step 2: 3 ÷ 4 = 0.75 [3/4 = 0.75]

Step 1: Convert: 2 1/3 = 7/3 and 1 2/5 = 7/5

Step 2: LCM of 3 and 5 = 15: 7/3 = 35/15, 7/5 = 21/15

Step 3: Add: [35/15 + 21/15 = 56/15 = 3 11/15]

Step 1: First bracket: 7/3 - 5/4 = 28/12 - 15/12 = 13/12

Step 2: Second bracket: 3/2 + 2/3 = 9/6 + 4/6 = 13/6

Step 3: Multiply: [13/12 × 13/6 = 169/72 = 2 25/72]

Step 1: The ratio of 4 to 8 is written as 4 : 8.

Step 2: Divide both by HCF (4): [4 : 8 = 4/4 : 8/4 = 1 : 2]

Step 1: Total parts = 5 + 8 = 13

Step 2: One part = 78 / 13 = 6

Step 3: First number = 5 x 6 = 30 [First = 5 x 6 = 30]

Step 4: Second number = 8 x 6 = 48 [Second = 8 x 6 = 48]

Step 1: Let the numbers be 3k and 5k.

Step 2: After adding 8: [(3k + 8) / (5k + 8) = 13 / 19]

Step 3: Cross multiply: [19(3k + 8) = 13(5k + 8)]

Step 4: 57k + 152 = 65k + 104, so 48 = 8k, giving k = 6

Step 5: Numbers: 3 x 6 = 18 and 5 x 6 = 30. Verify: (18+8)/(30+8) = 26/38 = 13/19 [Numbers = 18 and 30]

Step 1: The angle sum property states that the sum of all interior angles of any triangle is always 180°.

Step 2: This can be proven by drawing a line parallel to the base through the opposite vertex. [∠A + ∠B + ∠C = 180°]