Geometry
Algebra and Equations
Counting and Probability
Number Sense
100

In the diagram, the cube has a volume of 8cm^3. How long is a side of the cube? 

2cm

100

If x=2 and y=1, then the value of 2x-3y is 

1

100

A box contains 5 black ties, 7 gold ties, and 8 pink ties. Stephen randomly chooses a tie from the box. Each tie is equally likely to be chosen. The probability that Stephen chooses a pink tie is equivalent to

2/5

100

If 50% of  P equals 20% of Q, then P , as a percent of Q, is

40%

200
  1. The minute hand on a clock points at the 12. The minute hand then rotates 120 degrees clockwise. Which number will it be pointing at?


4

200

Multiplying x by 10 gives the same result as adding 20 to x. The value of x is

20/9

200

Gavin has a collection of 50 songs that are each 3 minutes in length and 50 songs that are each 5 minutes in length. What is the maximum number of songs from his collection that he can play in 3 hours?


56

200

Olave sold 108 apples at a constant rate over 6 hours. If she continues to sell apples at the same rate, how many apples will she sell in the next 1 hour and 30 minutes?

27

300

When the radius of a circle is tripled, how are the area and circumference of the circle affected?


  1. The area is 9 times as large and the circumference is 3 times as large.


  2. The area is 3 times as large and the circumference is 9 times as large.


  3. The area is 3 times as large and the circumference is 6 times as large.


  4. The area is 6 times as large and the circumference is 3 times as large.


  5. The area is 3 times as large and the circumference is 3 times as large.

A

300

If a/b = 3 and b/c=2, then what is the value of (a-b)/(c-b)

-4

300

How many four-digit integers between 5000 and 6000  are there for which the thousands digit equals the sum of the other three digits? (The thousands digit of 5124  is 5.)

21

300

A digital clock shows the time 4:56. How many minutes will pass until the clock next shows a time in which all of the digits are consecutive and are in increasing order?

458 min

400

A total of n points are equally spaced around a circle and are labelled with the integers 1 to n, in order. Two points are called diametrically opposite if the line segment joining them is a diameter of the circle. If the points labelled 7 and 35 are diametrically opposite, then n equals


56

400
  • Carl and André are running a race. Carl runs at a constant speed of x m/s. André runs at a constant speed of y m/s. Carl starts running, and then André starts running 20 s later. After André has been running for 10 s, he catches up to Carl. The ratio y:x  is equivalent to

    1. 20:1

    2. 2:1

    3. 1:3

    4. 3:1
    5. 1:2

D. 3:1

400

Alex has $2.65. He has only dimes (worth $0.10 each) and quarters (worth $0.25 each). He has more dimes than quarters. What is the smallest number of coins that Alex could have?

16

400

If N is the smallest positive integer whose digits have a product of 1728, then the sum of the digits of N is

28

500

Eight identical spheres, each of diameter 20, fit tightly into a cube of side length 40 so that each sphere just touches three of the faces of the cube. The radius of the largest sphere that will fit in the central space, just touching all eight spheres, is closest to

  1. 7.0

  2. 7.3

  3. 7.6

  4. 7.9

  5. 8.2

B. 7.3

500
  1. Celyna bought 300 grams of candy A for $5.00, and x grams of candy B for $7.00. She calculated that the average price of all of the candy that she purchased was $1.50 per 100 grams. What is the value of x ?
    1. 525
    2. 600
    3. 500
    4. 450
    5. 900

C

500

Andre has an unlimited supply of $1 coins, $2 coins, and $5 bills. Using only these coins and bills and not necessarily using some of each kind, in how many different ways can he form exactly $10?

10 ways

500

A string has been cut into 4 pieces, all of different lengths. The length of each piece is 2 times the length of the next smaller piece. What fraction of the original string is the longest piece?

8/15

M
e
n
u