Practice Maths

Multiplying Decimals in Context — Solutions

  1. Multiply Decimals — Fluency

    1. 3.2 × 4: 12.8 ▶ View Solution
    2. 0.7 × 5: 3.5 ▶ View Solution
    3. 1.5 × 1.2: 1.8 ▶ View Solution
    4. 0.4 × 0.8: 0.32 ▶ View Solution
    5. 2.3 × 3: 6.9 ▶ View Solution
    6. 5.6 × 0.2: 1.12 ▶ View Solution
    7. 0.09 × 0.7: 0.063 ▶ View Solution
    8. 4.5 × 2.4: 10.8 ▶ View Solution

  2. Divide Decimals — Fluency

    1. 8.4 ÷ 4: 2.1 ▶ View Solution
    2. 6.3 ÷ 7: 0.9 ▶ View Solution
    3. 15 ÷ 0.5: 30 ▶ View Solution
    4. 2.4 ÷ 0.8: 3 ▶ View Solution
    5. 0.36 ÷ 0.9: 0.4 ▶ View Solution
    6. 12.6 ÷ 3: 4.2 ▶ View Solution
    7. 4.5 ÷ 0.15: 30 ▶ View Solution
    8. 0.48 ÷ 0.06: 8 ▶ View Solution

  3. Powers of 10

    1. 3.74 × 10: 37.4 ▶ View Solution
    2. 0.56 × 100: 56 ▶ View Solution
    3. 2.1 × 1 000: 2 100 ▶ View Solution
    4. 84.5 ÷ 10: 8.45 ▶ View Solution
    5. 630 ÷ 100: 6.3 ▶ View Solution
    6. 4 500 ÷ 1 000: 4.5 ▶ View Solution
    7. 0.08 × 100: 8 ▶ View Solution
    8. 0.007 × 1 000: 7 ▶ View Solution

  4. Estimate and Evaluate

    1. 4.8 × 3.1: Estimate ≈ 15; exact 14.88 ▶ View Solution
    2. 9.7 × 2.9: Estimate ≈ 30; exact 28.13 ▶ View Solution
    3. Error in 2.3 × 0.4: Decimal placed wrong; correct answer: 0.92 ▶ View Solution
    4. Error in 0.5 × 0.5: Decimal placed wrong; correct answer: 0.25 ▶ View Solution
    5. 0.3 × 0.3 = 0.9? False — answer is 0.09 ▶ View Solution
    6. 3.6 × 1.1 vs 3.6 × 0.9: 3.6 × 1.1 is larger ▶ View Solution

  5. Shopping and Costs

    1. 3.5 kg at $4.20/kg: $14.70 ▶ View Solution
    2. 4 items at $12.95 each: $51.80 ▶ View Solution
    3. 40.5 L at $2.15/L: $87.08 ▶ View Solution
    4. 2.5 L at $3.60/L: $9.00 ▶ View Solution
    5. Total of $8.50 + $4.75 + $12.30: $25.55 ▶ View Solution
    6. Change from $50 after $37.85: $12.15 ▶ View Solution

  6. GST, Discounts and Scaling

    1. $85 + 10% GST: $93.50 ▶ View Solution
    2. $1 240 + 10% GST: $1 364.00 ▶ View Solution
    3. $60 with 20% discount: $48.00 ▶ View Solution
    4. $24.00 with 15% discount: $20.40 ▶ View Solution
    5. Flour for 10 people (scaled from 0.75 kg for 4): 1.875 kg ▶ View Solution
    6. Paint needed for 43.75 m² at 12.5 m²/L: 3.5 litres ▶ View Solution

  7. Distance, Rate and Fuel

    1. 65.5 km/h for 3 hours: 196.5 km ▶ View Solution
    2. 2.4 km per 10 min over 90 min: 21.6 km ▶ View Solution
    3. Fuel for 250 km at 8.5 L/100 km: 21.25 litres ▶ View Solution
    4. Cost of 21.25 L at $2.08/L: $44.20 ▶ View Solution
    5. Speed over 312.5 km in 2.5 hours: 125 km/h ▶ View Solution
    6. Water wasted at 0.25 L/h over 2.5 days: 15 litres ▶ View Solution

  8. Mixed Operations Review

    1. 1.25 L in mL: 1 250 mL ▶ View Solution
    2. $28.50 shared 3 ways: $9.50 ▶ View Solution
    3. 0.25 km/min × 24 min: 6 km ▶ View Solution
    4. $7.20 for 6 items: $1.20 each ▶ View Solution
    5. 0.045 km × 4: 0.18 km ▶ View Solution
    6. 1.2 + 0.85 + 2.4 m: 4.45 m ▶ View Solution

  9. Measurement and Area

    1. 6.4 m × 3.5 m: 22.4 m² ▶ View Solution
    2. Area 4.2 m × 3.8 m at $24.50/m²: $391.02 ▶ View Solution
    3. Tiles (0.45 m × 0.45 m) to cover 4.5 m × 3.6 m floor: 80 tiles ▶ View Solution
    4. 2.4 km × 1.75 km: 4.2 km² ▶ View Solution

  10. Budgeting and Financial Maths

    1. Weekend pay (6.5 h Sat + 4.75 h Sun at $14.50/h): $163.13 ▶ View Solution
    2. Annual subscription at $39.95/month: $479.40 ▶ View Solution
    3. Spending after saving 30% of $110.40: $77.28 ▶ View Solution
    4. Better value: 1.5 kg bag ($3.75) or 2.5 kg bag ($5.50): 2.5 kg bag ▶ View Solution