Instructions
Answer all the questions to the best of your ability. Read each question carefully before you begin. You may use a separate piece of paper for your calculations.
Numbers
- What is the place value of the digit 7 in the number 4,785,123?
- Round 56,821 to the nearest thousand.
- What is the lowest common multiple (LCM) of 6 and 8?
- List all the factors of 24.
- Which of these numbers is a prime number: 9, 15, 23, 27?
Angles and Shapes
- An angle that is greater than 90 degrees but less than 180 degrees is called a(n) ____________ angle.
- If two angles in a triangle are 60 degrees and 50 degrees, what is the size of the third angle?
- I am a quadrilateral with 4 equal sides and 4 right angles. What shape am I?
- A straight line has an angle of 180 degrees. If one angle on the line is 110 degrees, what is the size of the other angle?
- How many vertices (corners) does a cube have?
Calculations
- 5,829 + 6,743 = ?
- 9,012 - 3,456 = ?
- 345 × 26 = ?
- 457 ÷ 5 = ? (Write your answer with a remainder)
- Solve: 10 + (5 × 4) - 2 = ?
Time
- A movie starts at 2:15 PM and ends at 4:40 PM. How long is the movie?
- Write 7:30 PM in 24-hour format.
- Write 16:45 in 12-hour format (using AM/PM).
- If you go to bed at 9:30 PM and sleep for 8 hours and 30 minutes, what time do you wake up?
- How many hours and minutes are in 150 minutes?
Statistical Methods
Use the following list of test scores for questions 21-23: 8, 10, 6, 8, 8
- What is the mean (average) score?
- What is the mode (most frequent) score?
- What is the range of the scores?
- A bar chart shows the favorite pets of a class: Dogs (12 votes), Cats (8 votes), Fish (3 votes), Hamsters (5 votes). How many more students chose Dogs than Cats?
- The temperature for a week was: Mon 15°C, Tue 17°C, Wed 16°C, Thu 19°C, Fri 18°C. On which day was the temperature highest?
Fractions, Decimals, Percentages, and Proportion
- Convert the fraction 3/4 to a decimal.
- What is 50% written as a simplified fraction?
- What is 25% of 60?
- Calculate: 2/7 + 3/7 = ?
- If 2 apples cost $1.00, how much would 6 apples cost?
Probability
- If you roll a standard six-sided die, what is the probability of rolling a 4? (Write as a fraction).
- A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles (10 total). What is the probability of picking a blue marble without looking?
- Is it more likely, less likely, or equally likely to roll an even number than an odd number on a standard six-sided die?
- What is the probability of picking a yellow marble from the bag described in question 32?
- If you flip a fair coin, what is the probability it will land on heads?
Location and Movement
Imagine a standard coordinate grid (with x and y axes) for questions 36-40.
- What are the coordinates of a point that is 3 units to the right (x-axis) and 5 units up (y-axis) from the origin (0,0)?
- A point is at (2, 3). If it moves 4 units to the right and 1 unit down, what are its new coordinates?
- Describe the movement from point A (1, 5) to point B (1, 2).
- A point at (6, 4) is reflected across the y-axis. What are its new coordinates?
- Which coordinate comes first in a coordinate pair, the x-coordinate or the y-coordinate?
Answer Key
- Hundred Thousands
- 57,000
- 24
- 1, 2, 3, 4, 6, 8, 12, 24
- 23
- Obtuse
- 70 degrees
- Square
- 70 degrees
- 8
- 12,572
- 5,556
- 8,970
- 91 with a remainder of 2 (or 91 R 2)
- 28
- 2 hours and 25 minutes
- 19:30
- 4:45 PM
- 6:00 AM
- 2 hours and 30 minutes
- 8
- 8
- 4 (10 - 6)
- 4
- Thursday
- 0.75
- 1/2
- 15
- 5/7
- $3.00
- 1/6
- 5/10 (or 1/2)
- Equally likely
- 0/10 (or 0)
- 1/2
- (3, 5)
- (6, 2)
- Down 3 units
- (-6, 4)
- The x-coordinate