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QUESTION PAPER

PAKISTAN MATHS CONTEST

SENIORS (GRADE 11 & 12)

1. DON’T OPEN THIS BOOKLET UNTIL INSTRUCTED.

2. WRITE YOUR NAME, FATHER NAME, SCHOOL ETC AT THE BUBBLE SHEET ONLY.

3. RECORD ALL ANSWERS ON THE BUBBLE SHEET ONLY.

4. SELECT BEST ANSWER FROM THE FOUR GIVEN OPTIONS AND MARK ONLY ONE OPTION IN EACH

QUESTION.

5. USE BLUE / BLACK INK TO FILL UP THE CIRCLES FOR YOUR ANSWERS ON THE BUBBLE SHEET.

6. USE OF ANY HELPING MATERIAL INCLUDING CELL PHONES AND ELECTRONIC DEVICES IS STRICTLY

PROHIBITED.

7. EVERY CORRECT ANSWER EARNS THREE POINTS.

8. ONE POINT WOULD BE DEDUCTED FOR EVERY INCORRECT ANSWER.

TIME ALLOWED: 90 MINUTES

MAXIMUM MARKS: 90

TOTAL QUESTIONS: 30 MCQS

INSTRUCTIONS

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Q1. Simplify.

11/3 . 11/3

a. 1/3 b. 1/6 c. 1/9 d. 1

Q2. Solve for q

a. q=2 b. q=3 c. q=4 d. q=5

Q3. Simplify. Assume all variables are positive. All exponents in your answer should be positive.

a. 1/b b. 2/b c. 2/3 d. 1/6

Q4. Multiply. Simplify your answer.

a. 195y/11x b. 11x/195y c. 195y/11xy d. 11xy/195y

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Q5. Look at the graph. What is the equation of the vertical asymptote?

a. X = - 6

b. X = 6

c. X = 9

d. X = -9

Q6. The function f(x) is invertible. f(x)= ?

a. -2

b. -4

c. 0

d. 4

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Q7. Identify an outlier

5, 66, 74, 76, 77, 78, 79, 81, 91

a. 5

b. 66

c. 81

d. 91

Q8. A music student is cataloguing some songs and noting the length of each. The 6 songs have lengths

of 7 minutes, 4 minutes, 5 minutes, 5 minutes, 2 minutes and 4 minutes

What is the standard deviation in minutes?

a. 1 minute

b. 1.5 minutes

c. 2 minutes

d. 2.5 minutes

Q9. Henry is a party planner who is helping a couple plan their wedding reception. Henry

suggested 5 different reception locations and 2 different caterers. Henry asked the couple

what kind of music they wanted and then gave them a list of 2 bands they might like to hire.

How many different combinations can Henry's clients choose?

a. 5

b. 10

c. 20

d. 100

Q10. Susan is a sandwich maker at a local deli. Last week, she tracked the number of peanut

butter and jelly sandwiches ordered, noting the flavour of jelly and type of peanut butter

requested. What is the probability that a randomly selected sandwich was made with creamy

peanut butter and grape jelly?

a. 1/3

b. 1/6

c. 1/18

d. 3/12

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Q11. The table below shows the probability distribution of a random variable Z. What is the

expected value of Z?

a. 16

b. 17.7

c. 21

d. 21.7

Q12. Out of 1,000 tickets in a raffle, one ticket will win a $840 prize. The remaining tickets

will win nothing. If you have a ticket, what is the expected payoff?

a. $0.84

b. $8.40

c. $84.0

d. $840

Q13. Fill in the missing number.

a. 0

b. 1

c. 2

d. 3

Q14. What kind of sequence is this?

88, 71, 54, 37, ________

a. Arithmetic

b. Geometric

c. Both

d. Neither

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Q15. Type the next number in this sequence:

2, 3, 6, 11, 18, 27, 38, __________

a. 49

b. 50

c. 51

d. 52

Q16. Find the sum of the infinite geometric series.

a. 1

b. 3

c. 12

d. 120

Q17. Write the repeating decimal as a fraction.

.077077077…

a. 7/9

b. 70/99

c. 7/999

d. 77/999

Q18. Find the determinant of the matrix.

a. 0

b. 7

c. 49

d. – 49

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Q19. v = ?

a. 13.5

b. 14.5

c. 15.5

d. 16.5

Q20. RS = ?

a. 3

b. 7

c. 9

d. 21

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Q21. sine of ∠R = ?

a. 56 — 65

b. 65 — 56

c. 33 — 56

d. 33 — 65

Q22. m∠T = ?

a. 300

b. 600

c. 900

d. 1200

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Q23. VY = ?

a. 14.2 mi

b. 14.4 mi

c. 14.6 mi

d. 14.8 mi

Q24. What is the area of ΔUVW?

a. 144.9 mm2

b. 154.9 mm2

c. 164.9 mm2

d. 174.9 mm2

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Q25. What is the surface area?

a. 316 square centimeters

b. 416 square centimeters

c. 516 square centimeters

d. 616 square centimeters

Q26. What is the surface area of this rectangular pyramid?

a. 12 inches

b. 14 inches

c. 16 inches

d. 18 inches

Q27. What is the volume of this cylinder?

a. 12.16 cubic centimeters

b. 12.56 cubic centimeters

c. 12.76 cubic centimeters

d. 12.96 cubic centimeters

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Q28. The figures below are similar. What is k?

a. 2 centimeters

b. 4 centimeters

c. 6 centimeters

d. 8 centimeters

Q29. What is the surface area of this sphere?

a. 8.0383 square meters

b. 80.383 square meters

c. 803.83 square meters

d. 8038.3 square meters

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Q30. Steve took one of his friends out to lunch. The lunches cost $50 and he paid 10% sales

tax. If Steve left a 20% tip on the $50, how much in total did he pay?

a. $23

b. $33

c. $65

d. $73

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