💡 563,091 + 36,909 = 600,000

💡 460,123 → 4=HTh, 6=TTh, 0=Th, 1=H, 2=T, 3=O → 0 is in the Thousands place

💡 6,000,000 + 800,000 + 26 = 6,800,026

💡 √2.25 = √(225/100) = 15/10 = 1.5

💡 0.2 × 10,000 = 2,000 m² | 4 × 100 = 400 m² | 2,000 − 400 = 1,600 m²

💡 101₂ = 5₁₀ | 10₃ = 3₁₀ | 5 + 3 = 8₁₀ | 8 in binary = 1000₂

💡 Borrow 1h → 2h30min = 1h 90min | 90 − 45 = 45 min → Answer: 0 h 45 min

💡 5x = 270° → x = 54°

💡 Sum = 30 | Count = 6 | Mean = 30 ÷ 6 = 5

💡 A rectangle has 2 lines of symmetry: one horizontal, one vertical (not diagonal)

💡 A square has 4 lines of symmetry: 2 through midpoints of sides + 2 diagonals

💡 Corresponding angles are in the same position at each intersection → angle x = angle c

💡 Alternate interior angles are on opposite sides of the transversal → angle a = angle c (wait: alternate to a = c based on standard diagram)

💡 Side = 18 ÷ 4 = 4.5 cm | Area = 4.5 × 4.5 = 20.25 cm²

💡 105 ÷ 3 = 35 | 35 ÷ 5 = 7 | 7 is prime → 105 = 3 × 5 × 7

💡 2x + x = 2 + 1 → 3x = 3 → x = 1

💡 Factors: 9={1,3,9} | 12={1,2,3,4,6,12} | 15={1,3,5,15} → HCF = 3

💡 Girls = 3/5 × 40 = 24

💡 Boys = 2/5 × 40 = 16

💡 Weigh less = 40% | 40% × 1,200 = 480 pupils

💡 1 book = 400 Frw | 5,000 ÷ 400 = 12.5 → 12 books

💡 12 × 400 = 4,800 Frw | 5,000 − 4,800 = 200 Frw

💡 (28 ÷ 40) × 100 = 70%

💡 6,000 ÷ 20 = 300 min | 300 ÷ 60 = 5 hours

💡 3/5 ÷ 4/5 = 3/5 × 5/4 = 3/4 | 3/4 × 4/9 = 12/36 = 1/3

💡 4mp = 4×(−3)×(−2) = 24 | 3n = 18 | (24+18)/6 = 42/6 = 7

💡 A∩B = numbers in BOTH sets | A={2,3,5,7,11,13}, B={1,3,5,7,9,11,13} → A∩B={3,5,7,11,13}

💡 B only = elements in B but not A | B−A = {1, 9} → from options: 9

💡 Profit = 11,000 Frw | % profit = (11,000 ÷ 55,000) × 100 = 20%

💡 r² = 5,544 × 7 ÷ 88 = 441 → r = √441 = 21 cm

💡 V = 4/3 × 22/7 × 9,261 = 38,808 cm³

💡 angle ACD = 45° | angle ADC = 90° → angle CAD = 180 − 90 − 45 = 45°

💡 AB = AC → two equal sides → Isosceles triangle

💡 Convert: 11/25 = 0.44 | 12/30 = 0.40 → Order: 0.40 < 0.41 < 0.42 < 0.44 → 12/30 < 0.41 < 0.42 < 11/25

💡 Actual length = 6 × 10 = 60 m

💡 Actual width = 5 × 10 = 50 m

💡 Area = 60 × 50 = 3,000 m²

💡 20,000 = P × 2 × 10 ÷ 100 → P = 20,000 × 100 ÷ 20 = 100,000 Frw

💡 Area = ½ × (14 + 6) × 4 = ½ × 20 × 4 = 40 cm²

💡 a² = 1 | 2a²b = 2×1×2 = 4 | ac = −1×3 = −3 | 4 − (−3) = 7

💡 Two pairs of equal opposite sides → Rectangle

💡 3x − x = 9 − 1 → 2x = 8 → x = 4

💡 P = 2×(13+5) = 36 cm | A = 13×5 = 65 cm²

💡 Year 1: 3,000,000×5% = 150,000 | Year 2: 3,150,000×5% = 157,500 | Total CI = 307,500 Frw

💡 Total amount = 3,000,000 + 307,500 = 3,307,500 Frw

💡 C=2πr → r=7 cm | V = πr²h = (22/7)×49×10 = 1,540 cm³

💡 TSA = 2πr² + 2πrh = 308 + 440 = 748 cm²

💡 V = ½ × 12 × 5 × 25 = 750 cm³

💡 Hypotenuse = √(5²+12²) = 13 cm | TSA = 2×30 + 25×(12+5+13) = 60+750 = 810 cm²

💡 Frequencies: 8→4, 10→6, 11→3, 12→4, 15→1, 16→2 → Mode = 10 (highest frequency)

💡 Total fx = 220 | Total f = 20 | Mean = 220 ÷ 20 = 11

💡 Range = 16 − 8 = 8 → True

💡 Sum of frequencies = 4+6+3+4+1+2 = 20 → True

💡 Frequency of 12 = 4 | Frequency of 10 = 6 | 4 < 6 → False

💡 Mean = 11, Mode = 10 | 11 > 10 → True