ECZ 2020 · GCE Paper 2 · Question 3 — Sets

Question from ECZ 2020 · GCE Paper 2 · Question 3

(a) Solve the equation 2x2 + 3x - 7 = 0, giving your answers correct to 2 decimal places.[5]

Verified working — step 1

Use the formula with a = 2, b = 3, c = -7.

(b) The Venn diagram below shows the number of students in each of the three courses at a University.

Diagram for part (b)

(b(i)) Given that there were 25 students altogether, find the value of x.[2]

Verified working — step 1

Add every region of the Venn diagram and set equal to 25.

(b(ii)) How many students studied

(b(ii)(a)) Mathematics and Chemistry only,[1]

Verified working — step 1

"Maths and Chemistry only" is the Math…

(b(ii)(b)) one course only,[1]

Verified working — step 1

"One course only" is the th…

(b(ii)(c)) Chemistry and Physics but not Mathematics?[1]

Verified working — step 1

"Chemistry and Physics but not Maths" is t…

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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