Part A — Whole numbers, fractions & decimals
This lesson spans several calculation skills. Use flexible, efficient strategies rather than always reaching for the standard algorithm. For fractions with related denominators, rename one fraction so both match — the fraction wall shows which fractions line up.
Whole-number strategies
Q1. Use a mental strategy and name it: (a) 47 + 38 (b) 124 − 59 (c) 8 × 25 (d) 96 ÷ 4
Q2. Show the order of operations: 6 + 3 × (10 − 4).
Fractions with related denominators
Q3. Use the fraction wall to rename first, then add or subtract:
(a) 1/2 + 1/4 (b) 3/4 − 1/8 (c) 2/3 + 1/6
Decimals to 2 dp
Q4. (a) 3.40 + 1.75 (b) 6.20 − 2.85 (c) 0.9 + 0.45
Part B — Decimals, percentages of a quantity & estimation
When we multiply or divide by powers of 10, the digits shift place value — they do not just "gain a zero". Estimation and rounding let us check whether an answer is reasonable before trusting it.
Multiplying decimals & powers of 10
Q1. (a) 0.6 × 4 (b) 1.25 × 3 (c) 3.7 × 10 (d) 45.0 ÷ 10 (e) 2.5 ÷ 100
Fraction / decimal / percentage of a quantity
Q2. Find: (a) 1/4 of 60 (b) 0.5 of 18 (c) 10% of 250 (d) 25% of 40 (e) 50% of 92
Estimation & rounding
Q3. Estimate first (round sensibly), then calculate and compare:
(a) 297 + 412 (b) 19 × 21 (c) 6.1 × 4.9
Q4. A shirt costs $24.95. Estimate the cost of 3 shirts, then find the exact total.
Reasoning
Q5. Maya says 3.7 × 10 = 3.70. Is she right? Explain what really happens to the digits.