1. 0.4 is the same as
2.
3.
a) four b) four-tenths c) four hundredths d) one-fourth When you subtract one of the numbers below from 900, the answer is greater than 300. Which number is it? a) 823 b) 712 c) 667 d) 579 Tanya has read the first 78 pages in a book that is 130 pages long. Which number sentence could Tanya use to find the number of pages she must read to finish the book?
5. Which of these does not show a line of symmetry?
6. 25 X 18 is more than 24 X 18. How much more? a) 1 b) 18 c) 24 d) 25 7. What do you have to do to each number in column A to to get the number next to it in Column
4. a) Add 8 to the number in Column A. b) Subtract 8 from the number in Column A c) Multiply the number in Column A by 5. d) Divide the number in Column A by 5. 8. Kyle and Bob are playing a game. The object of the game is to get the highest total of points. This chart shows how many points they scored.
a) b) c) d)
1 and 2 1 and 4 2 and 3 3 and 4
Who won and by how many points? a) Bob won by 25 points b) Bob won by 100 points c) Kyle won by 25 points d) Kyle won by 175 points 9. A thin wire 20 centimeters long is formed into a rectangle. If the width of this rectangle is 4 centimeters, what is its length? a) 5 centimeters b) 6 centimeters c) 16 centimeters 10. There are 54 marbles, and they are put into 6 bags, so that the same number of marbles is in each bag. How many marbles would 2 bags contain? a) 108 marbles b) 18 marbles c) 15 marbles d) 12 marbles e) 9 marbles 11. There is only one red marble in each of these bags? Without looking in the bag, you are to pick a marble out of one of the bags. Which bag would give you the greatest chance of picking the red marble?
a) The bag with 10 marbles b) The bag with 100 marbles c) The bag with 1000 marbles d) All bags would give the same chance. 12. This picture shows a cube with one edge marked. How many edges does the cube have a) 6 b) 8 c) 12 d) 24 13. The weight (mass) of a clothespin is 9.2 g. Which of these is the best estimate of the total weight (mass) of 1000 clothespins?
a) 900 g b) 9,000 g c) 90,000 g d) 900,000 g 14. In which pair of numbers is the second number 100 more than the first number? a) 199 and 209 b) 4236 and 4246 c) 9635 and 9735 d) 51,863 and 52,863 15. On this grid, find the dot with the circle around it. We can describe where this dot is by saying it is at First Number 1, Second Number 3 Now find the dot with the triangle around it. How can you describe where the dot is on the grid in the same way? a) b) c) d)
First Number 1, Second Number 3 First Number 3, Second Number 2 First number 3, Second Number 10 First Number 2, Second Number 3
Answers: 1. b 2. d 3. d 4. a 5. c 6. b 7. e 8. a 9. b 10. b 11. a 12. c 13. b 14. c 15. b
16. e 17. a 18. b
16. A quadrilateral MUST be a parallelogram if it has __________ a) one pair of adjacent sides equal. b) one pair of parallel sides c) a diagonal as axis of symmetry . d) two adjacent angles equal e) two pairs of parallel sides. 17. In a bag of cards 1/6 are green, 1/12 are yellow, 1/2 are white and 1/4 are blue. If someone takes a card from the bag without looking, which color is it most likely to be? a) White b) Blue c) Green d) Yellow 18. The graph shows the distance traveled before coming to a stop after the brakes are applied for a typical car traveling at different speeds. A car is traveling 80 km per hour. About how far will the car travel after the brakes are applied? a) 60 m b) 70 m c) 85 m d) 100 m 19. Which of the following graphs has these features:? f'(0) >0, f'(1) <0 and f''(x) is always negative.
20. The line l in the figure is the graph of y = f(x). a) 3 b) 4 c) 4.5 d) 5 e) 5.5
21. The vertices of the triangle PQR are the points P(1, 2), Q(4, 6) and R(- 4, 12). Which one of the following statements about triangle PQR is true. a) PQR is a right triangle with the right angle, P. b) PQR is a right triangle with the right angle,Q. c) PQR is a right triangle with the right angle, R. d) PQR is not a right triangle. 22. Which one of the following conics is represented by the equation (x-3y)(x+3y) = 36 a) Circle b) Ellipse c) Parabola d) Hyperbola 23. Determine the distance between the x -intercept and the z-intercept of the plane whose equation is 3x + 2y - 4z = 12.
a) b) 1 c) 5 d) 7 24. A set of 24 cards is numbered with the positive integers from 1 to 24. If the cards are shuffled and if only one is selected at random, what is the probability that the number on the card is divisible by 4 or 6?
a) 1/6 b) 5/24 c) ¼ d) 1/3 e) 5/12 25. AB is the diameter of a semicircle k, C is an arbitrary point on the semicircle (other than A or B), and S is the centre of the circle inscribed into triangle ABC. Then the measure of a) angle ASB changes as C moves on k b) angle ASB is the same for all positions of C but it cannot be determined without knowing the radius. angle ASB = 135° for all C. c) angle ASB = 150° for all C 26. The number of bacteria in a colony was growing exponentially. At 1 pm yesterday the number of bacteria was 1000 and at 3 pm yesterday it was 4000. How many bacteria were there in the colony at 6 pm yesterday? 27. The rectangle labeled Q CANNOT be obtained from the rectangle labeled P by means of a) reflection (about an axis in the plane of the page) b) rotation (in the plane of the page) c) translation d) translation followed by a reflection 28. What are the values of x for which the inequality
is true? a) x is less than or equal to -7/9 b) x is less than or equal to -1/3 c) x is greater than or equal to 0 d) x is greater than or equal 7/3 e) x is greater than or equal 9/3
29. Given logb2 = 1/3, then logb32 is equal to a) 2 b) 5 c) -3/5 d) 5/3 e) 3/log232 30. The sum of the infinite series 1- (1/2) + (1/4) - (1/8) + ... is a) 5/8 b) 2/3 c) 3/5 d) 3/2 e) infinite 31. The velocity v of a body moving in a straight line t seconds after starting from rest is v = 4t3 - 12 t2 meters/second . How many seconds after starting does its acceleration become zero? 32. A warning system installation consists of two independent alarms probabilities of operating in an emergency of 0.95 and 0.90 respectively. Find the probability that at least one alarm operates in an emergency. a) 0.995 b) 0.975 c) 0.95 d) 0.90 e) 0.855 33. An examination consists of 13 questions. A student must answer only one of the first two questions and only nine of the remaining ones. How many choices of questions does the student have? a) 13C10 = 286 b) 11C 8 =165 c) 2 X 11C9 =110 d) 2 X 11P 2 = 220 e) some other number 34. For what real value of k will the equation below describe of circle of radius equal to 3? x2 + y2+2x-4y+k = 0 a) K=2 b) K=8
c) K= -4 d) K= -9 e) K= 4 35. A string is wound symmetrically around a circular rod. The string goes exactly 4 times around the rod. The circumference of the rod is 4 cm. and its length is 12 cm. Find the length of the string. In cm.
19.a 20.d 21.b 22.d 23.c 24.d 25.c 26. 32, ooo 27.a 28.b 29.d 30.b 31.2 32.a 33.c 34.c 35.20