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3 marksPrime factors + HCF4MA1 Set 1 Paper 1H style ✏️ No calculator
(a) Write 180 as a product of its prime factors. (b) Find the HCF of 180 and 126. Show your working. (3 marks)
Hint: (a) Factor tree for 180. (b) Factor tree for 126. HCF = product of shared prime factors, using the lower power of each.
+30 XP
3 marksIndex laws4MA1 style ✏️ No calculator
Simplify: (a) 5³ × 5⁴ ÷ 5⁵ (b) (3²)⁴ (c) Write 64^(−2/3) as a fraction. (3 marks)
Hint: (a) Add powers when multiplying, subtract when dividing. (b) Multiply the powers. (c) Fractional index: 1/3 means cube root. Negative means reciprocal.
+30 XP
4 marksStandard form calculations4MA1 Set 1 P1H style ✏️ No calculator
The distance from Earth to the Sun is approximately 1.5 × 10⁸ km. Light travels at 3 × 10⁵ km per second. Calculate the time, in seconds, for light to travel from the Sun to the Earth. Give your answer in standard form. (3 marks)
Hint: Time = distance ÷ speed. Divide the A values (1.5÷3) and subtract the powers (8−5). Adjust so A is between 1 and 10.