Problems And Answers PHIMO MOCK 2020 SECONDARY 1

6. The sum of seven consecutive integers is 980. How many of them are prime?

A. 1
B. 2
C. 3
D. 4
E. 0

7. The values of \(7x + 6y = 4002\) and \(6x + 7y = 2004\). Determine the exact value \(x + y\).

A. 221
B. 400
C. 462
D. 487
E. 770

8. Factor completely: \(x^2 – y^2 – 4y – 4\)

A. \((x – y + 2)(x + y + 2)\)
B. \((x + y – 2)(x + y + 2)\)
C. \((x – y – 2)(x – y + 2)\)
D. \((x – y – 2)(x + y – 2)\)
E. \((x – y – 2)(x + y + 2)\)

9. What is the area of a circle with circumference 8?

A. \(\frac{16}{π}\)
B. \(16π\)
C. \(16 + π\)
D. \(16 – π\)
E. \(16\)

10. A dice is thrown four times in a row. Find the probability of getting different result each throw.

A. \(\frac{5}{18}\)
B. \(\frac{1}{4}\)
C. \(\frac{7}{12}\)
D. \(\frac{5}{13}\)
E. \(\frac{1}{18}\)