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Martina has answered some questions on algebra - OCR - GCSE Maths - Question 3 - 2019 - Paper 1

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Martina has answered some questions on algebra. In each question, she has made an error. (a) Question 1. Simplify: $2a \times a$. Martina's answer $4a$ Martina's ... show full transcript

Worked Solution & Example Answer:Martina has answered some questions on algebra - OCR - GCSE Maths - Question 3 - 2019 - Paper 1

Step 1

Question 1: Describe her error and give the correct answer.

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Answer

Martina's error lies in miscalculating the multiplication of the terms. The correct simplification should recognize that 2a×a=2a22a \times a = 2a^2. Therefore, the correct answer is:

2a22a^2

Step 2

Question 2: Describe her error and give the correct answer.

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Answer

Martina incorrectly simplified the expression. Instead of arriving at x6x^6, she should have applied the law of exponents: x10x2=x102=x8.\frac{x^{10}}{x^{2}} = x^{10 - 2} = x^{8}. Thus, the correct answer is:

x8x^{8}

Step 3

Question 3: Describe her error and give the correct answer.

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Answer

Martina's mistake was with the substitution of values in the equation and miscalculating the expression. The correct substitution yields:

s=0×5+12×6×52=0+12×6×25=75.s = 0 \times 5 + \frac{1}{2} \times 6 \times 5^{2} = 0 + \frac{1}{2} \times 6 \times 25 = 75. Therefore, the correct answer is:

s=75s = 75

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