Problems And Solutions SEAMO PAPER B 2016

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11. The average of 8 numbers arranged in ascending order is 55. The average of the first 5 numbers is 46. The average of the last 4 numbers is 68. Find the value of the fifth number.
(A) 32
(B) 44
(C) 58
(D) 62
(E) 74

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Solution

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12. Emma adds up the sum of 1 + 2 + 3 +  4 + ⋯ on a calculator. When she reaches the sum of 305, she realizes that she had forgotten to add one number. What is the number?

(A) 16
(B) 17
(C) 18
(D) 19
(E) 20

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Solution

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13. The figure shown below is a regular pentagon. Find the magnitude of each of its interior angles.

(A) 106°
(B) 108°
(C) 114°
(D) 240°
(E) 300°

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Solution

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14. In mathematics,
\(3^4 = 3 × 3 × 3 × 3\)
\(2^5 = 2 × 2 × 2 × 2 × 2\) and so on.
What is the ones digit in \(222^{222}\)?
(A) 2
(B) 4
(C) 6
(D) 8
(E) None of the above

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Solution

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15. In mathematics, \(a > b\) means the value of \(a\) is greater than that of\(b\). For example, \(5 > 3\) . Given that x and y are whole numbers, what is a possible value of \(( x + y )\) in the following.

\(\frac{x}{19}>\frac{3}{5}>\frac{y}{19}\)

(A) 4
(B) 13
(C) 15
(D) 23
(E) None of the above

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Solution

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16. The numbers 2, 3, 4, 5, 6, 7 and 8 are arranged in the circles in such a way that the sum of the 3 numbers on each line is 15. What is the value of m?

(A) 5
(B) 6
(C) 7
(D) 8
(E) None of the above

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Solution

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17. There are 20 questions in a mathematics test. 7 marks are awarded for a correct answer. 4 marks will be deducted for a wrong attempt. A student gets 0 marks for any question not attempted. If Joan scores 100 marks for the test, how many questions did she not attempt?

(A) 3
(B) 2
(C) 1
(D) 0
(E) None of the above

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Solution

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18. The perimeter of a right-angled triangle is 12 cm. Its area is 6 cm². Find the longest side of the triangle.

(A) 3 cm
(B) 5 cm
(C) 7 cm
(D) 9 cm
(E) None of the above

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Solution

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19. The distance between Medan city and Lake Toba is approximately 90 km. Henry left Medan for Lake Toba at 8:00 am, travelling at a constant speed of 90 km/h. 20 minutes later, Annisa left Medan also for Lake Toba, at 120 km/h. How far was Annisa’s car from the destination when Henry had arrived?

(A) 8 km
(B) 10 km
(C) 12 km
(D) 14 km
(E) None of the above

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Solution

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20. Mr Wang bought a basket of apples for the family. If each family member eats 4 apples, they will have 10 apples leftover. If each family member eats 6 apples, they will be short of 6 apples. How many apples did Mr Wang buy?

(A) 40
(B) 42
(C) 44
(D) 46
(E) None of the above

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Solution

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21. Find the sum of all digits of the product of

\(999999 × 1777776\)

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Solution

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22. A 5-digit number \(\overline{7m36n}\) is divisible by \(5\). It can also be divided by \(9\). Find the value of \(\)( m + n ), when the value of the 5-digit number is the least.

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Solution

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23. What is the smaller angle formed by the hour hand and the minute hand at 6:45 pm?

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Solution

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24. A regular hexagon is a 6-sided polygon in which each of its sides has the same length. The figure below shows half a hexagon. Divide the figure into 4 identical shapes of equal area.

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Solution

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25. A basket contains between 200 to 240 . When I divide all the  into 4 equal bags, 1 is left. When I divide one of such bags into 4 equal packets, the remainder will still be 1. When I split one of such packets into 4 equal parts, the remainder is still 1. What is the number of in the basket?

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Solution

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