Gauss 2017年真题
1. The value of (2 + 4 + 6) - (1 + 3 + 5) is
(A) 0 (B) 3 (C) -3 (D) 21 (E) 111
2. Based on the graph shown, which sport is played by the
most students?
(A) hockey (B) basketball (C) soccer
(D) volleyball (E) badminton
3. Michael has $280 in $20 bills. How many $20 bills does he have?
(A) 10 (B) 12 (C) 14 (D) 16 (E) 18
4. When two integers between 1 and 10 are multiplied, the result is 14. What is the sum of these two integers?
(A) 2 (B) 5 (C) 7 (D) 9 (E) 33
5. Three thousandths is equal to
(A) 300 (B) 0.3 (C) 0.03 (D) 30 (E) 0.003
6. In the square shown, x is equal to
(A) 0 (B) 45 (C) 60
(D) 180 (E) 360
7. Which integer is closest in value to 
?
(A) 10 (B) 8 (C) 9 (D) 7 (E) 6
8. When n = 101, which of the following expressions has an even value?
(A) 3n (B) n + 2 (C) n - 12 (D) 2n - 2 (E) 3n + 2
9. The sum of three consecutive integers is 153. The largest of these three integers is
(A) 52 (B) 50 (C) 53 (D) 54 (E) 51
10. In the diagram, △PQR is equilateral and is made up of four smaller equilateral triangles. If each of the smaller triangles has a perimeter of 9 cm, what is the perimeter of △PQR?
(A) 15 cm (B) 9 cm (C) 36 cm
(D) 27 cm (E) 18 cm
11. The number that goes into the to make 
true is
(A) 27 (B) 9 (C) 59 (D) 63 (E) 3
12. At the Gaussian Store, puzzles cost $10 each or $50 for a box of 6 puzzles. If a customer would like exactly 25 puzzles, what is the minimum possible cost?
(A) $210 (B) $230 (C) $250 (D) $220 (E) $200
13. When the shaded triangle shown is translated, which of
the following triangles can be obtained?
(A) A (B) B (C) C
(D) D (E) E
14. When the time in Toronto, ON is 1:00 p.m., the time in Gander, NL is 2:30 p.m. A flight from Toronto to Gander takes 2 hours and 50 minutes. If the flight departs at 3:00 p.m. (Toronto time), what time will the flight land in Gander (Gander time)?
(A) 7:20 p.m. (B) 5:00 p.m. (C) 6:20 p.m.
(D) 5:20 p.m. (E) 8:50 p.m.
15. Five students ran a race. Ryan was faster than Henry and Faiz. Henry was slower than Faiz. Toma was faster than Ryan but slower than Omar. Which student finished fourth?
(A) Faiz (B) Henry (C) Omar (D) Ryan (E) Toma
16. A circular spinner is divided into 20 equal sections, as shown. An arrow is attached to the centre of the spinner. The arrow is spun once. What is the probability that the arrow stops in a section containing a number that is a divisor of 20?
(A) 
(B) 
(C) 
(D) 
(E) 
17. The mean (average) of the four integers 78, 83, 82, and x is 80. Which one of the following statements is true?
(A) x is 2 greater than the mean
(B) x is 1 less than the mean
(C) x is 2 less than the mean
(D) x is 3 less than the mean
(E) x is equal to the mean
18. Sara goes to a bookstore and wants to buy a book that is originally priced at $100. Which of the following options gives her the best discounted price?
(A) A discount of 20%
(B) A discount of 10%, then a discount of 10% off the new price
(C) A discount of 15%, then a discount of 5% off the new price
(D) A discount of 5%, then a discount of 15% off the new price
(E) All four options above give the same price
19. Two sheets of 11 cm × 8 cm paper are placed on top of
each other, forming an overlapping 8 cm × 8 cm square
in the centre, as shown. The area of rectangle W XY Z is
(A) 
88 cm2 (B) 112 cm2 (C) 136 cm2
(D) 121 cm2 (E) 176 cm2
20. Betty and Ann are walking around a rectangular park
with dimensions 600 m by 400 m, as shown. They both
begin at the top left corner of the park and walk at
constant but different speeds. Betty walks in a clockwise
direction and Ann walks in a counterclockwise direction.
Points P, Q, R, S, T divide the bottom edge of the park
into six segments of equal length. When Betty and Ann meet for the first time, they are between Q and R. Which of the following could be the ratio of Betty’s speed to Ann’s speed?
(A) 5 : 3 (B) 9 : 4 (C) 11 : 6
(D) 12 : 5 (E) 17 : 7
21. Rectangles that measure 4×2 are positioned in a pattern
in which the top left vertex of each rectangle (after the top one) is placed at the midpoint of the bottom edge of the rectangle above it, as shown. When a total of ten rectangles are arranged in this pattern, what is the perimeter of the figure?
(A) 48 (B) 64 (C) 90
(D) 84 (E) 100
22. In the six-digit number 1ABCDE, each letter represents a digit. Given that 1ABCDE × 3 = ABCDE1, the value of A + B + C + D + E is
(A) 29 (B) 26 (C) 22 (D) 30 (E) 28
23. Given 8 dimes (10 ¢ coins) and 3 quarters (25 ¢ coins), how many different amounts of money can be created using one or more of the 11 coins?
(A) 27 (B) 29 (C) 35 (D) 26 (E) 28
24. Four vertices of a quadrilateral are located at (7, 6), (-5, 1), (-2, -3), and (10, 2). The area of the quadrilateral in square units is
(A) 60 (B) 63 (C) 67 (D) 70 (E) 72
25. Ashley writes out the first 2017 positive integers. She then underlines any of the 2017 integers that is a multiple of 2, and then underlines any of the 2017 integers that is a multiple of 3, and then underlines any of the 2017 integers that is a multiple
of 5. Finally, Ashley finds the sum of all the integers which have not been underlined. What is this sum?
(A) 542 708 (B) 543 213 (C) 542 203
