Use of a calculator is permitted for all questions.
Formulas:
- Area of a Circle: πr²
- Circumference of a Circle: 2πr
- Area of a Rectangle: l * w
- Area of a Triangle: (1/2)bh
- Pythagorean Theorem: c² = a² + b²
- Volume of a Rectangle = l * w * h
- Volume of a Cylinder = πr²h
- Volume of a Sphere = (4/3)πr³
- Volume of a Cone = (1/3)πr²h
- Volume of a Triangular Prism = (1/3)lwh
Other Notes:
- The number of degrees of a circle is 360.
- The number of radians in a circle is 2π.
- The sum of degrees of the angles of a triangle is 180.
Student Produced Responses:
- Up to 5 characters allowed for positive answers.
- Up to 6 characters allowed for negative answers.
- Fractions that are too long should be converted to the decimal equivalent.
- Decimals that are too long should be truncated or rounded to the fourth digit.
- Mixed numbers should be converted to improper fractions or the decimal equivalent.
- DON’T include symbols like percent signs, commas, measurements, or dollar signs.
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Question 1 of 22
1. Question
The line graph depicts the monthly electricity consumption of a residential building over a year, in kilowatt-hours (kWh).
Based on the line graph, in which month did the building consume the least amount of electricity?
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Question 2 of 22
2. Question
At a local orchard, due to seasonal pests, 35 out of every 125 apples harvested have a blemish. If an apple is picked at random from the harvest, what is the probability that it has a blemish?
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Question 3 of 22
3. Question
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Question 4 of 22
4. Question
At a local community center, the cost f(x) in dollars, to rent a hall for a seminar is determined by the equation f(x) = 150x + 500. In this equation, x represents the number of hours in which the hall is rented. How much will it cost to rent the hall for 6 hours?
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Question 5 of 22
5. Question
The area of a square shaped plate is 36 cm². What is the perimeter of the square shaped plate?
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Question 6 of 22
6. Question
\frac{48}{\left(x+2\right)} = 4x – 8
What is the solution (x > 0) of the given equation?
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Question 7 of 22
7. Question
A cyclist rides at a constant speed of 18 km/h. How long, in hours, will it take for the cyclist to travel a distance of 90 km?
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Question 8 of 22
8. Question
Data set P: 2, 4, 7, 11, 16
Data set Q: 3, 5, 7, 9, 11, 13, 15The above data sets represent the heights (in feet) of two groups of plants. Which statement accurately compares the range of data set P and the range of data set Q?
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Question 9 of 22
9. Question
In an experiment, a chemical reaction initially contained 1200 grams of a substance. After 15 minutes, the remaining amount was measured to be 300 grams. What is the average rate of substance consumption in grams per minute?
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Question 10 of 22
10. Question
If 2a – 6 = 14, what is the value of 5a + 10?
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Question 11 of 22
11. Question
A gardener plans to spend $500 to buy flowering plants. To be eligible for a volume discount, the gardener needs to select at least 15 plants. If the gardener pays $18 per plant for roses and $10 per plant for daisies, what is the maximum number of rose plants the gardener can buy within the budget while meeting the discount requirement?
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Question 12 of 22
12. Question
For the linear function h, if h(0) = -3 and h(4) = 9, what is the equation of h?
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Question 13 of 22
13. Question
The function A(w) = 5w² represents the area of a square in square units, where w is the length of its side having value of 3 units.
Which of the following statement is correct?
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Question 14 of 22
14. Question
A movie theatre offers tickets for both adults and children. Adult tickets cost $10 each, and child tickets cost $6 each. The theatre’s total revenue from the movie showing was $156. If there were a total of 20 tickets sold, how many tickets were for children?
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Question 15 of 22
15. Question
In the xy-plane, the function g(x) = 5x – 20 has an intercept at the x-axis at (c, 0) and at the y-axis at (0, d). What is the value of c – d?
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Question 16 of 22
16. Question
One of the factors of 3x³ + 15x² – 72x is x + c, where c is a negative constant. What is the value of c?
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Question 17 of 22
17. Question
Consider the equation y = 2.5, and nonlinear equation y = x² – 5x + b, where b is a positive constant. The equation has a single distinct real solution. What is the value of b that ensures this condition?
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Question 18 of 22
18. Question
Consider the function r(x), where the value of r(x) increases by 25% for every increase in the value of x by 1. If r(0) = 80, what is the equation for r(x)?
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Question 19 of 22
19. Question
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Question 20 of 22
20. Question
PQ = 9
QR = 40
PR = 41Triangle QPR is similar to triangle XZY, where Q corresponds to X and R corresponds to Y. What is the approximate measure of angle Z in degrees?
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Question 21 of 22
21. Question
A farmer uses 0.5 pounds of fertilizer to treat 1 square yard of his field. If the field has an area of a square yards, which equation accurately represents the total amount of fertilizer G, in pounds, needed for the entire field?
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Question 22 of 22
22. Question
The height of a building is 200% more than the height of a tree. The tree is 80% less than 25 m. What is the height of the building?
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