7 and 8th Grade Math Olympiad Practice Quiz

Question 1 of 13

1. Question

What is the slope of the line that passes through the points (2,0) and (1,5).

2015
1/5
-1/5
-5

Question 2 of 13

2. Question

Solve for a: a + 6 – 2 x 6 + 4 – 8 + 3 x 2 = 0

4
22
50
6

Question 3 of 13

3. Question

What is the sum of the next two terms in the sequence: 2, 3, 6, 7, 14, 15, 30…?

63
121
93
202

Question 4 of 13

4. Question

A survey of 26 middle-school students revealed that 14 students like zombie movies, 10 students like vampire movies, and 5 students like giant mutant lizard movies. Four students like zombie and vampire movies, 3 students like giant mutant lizard and zombie movies, and one student likes vampire and giant mutant lizard movies. If no students like all three types of movies, how many students like none of these types of movies?

7
10
13
5

Question 5 of 13

5. Question

1/3
5
-3
-5

Question 6 of 13

6. Question

Bilbo found a great deal on rings. He bought a ring for 70% of the original price. If he saved $45, what was the original price?

150
125
105
115

Question 7 of 13

7. Question

Trapezoid ABCD is proportional to trapezoid EFGH. The height of trapezoid ABCD is 6 cm. The length of line DC is twice the height of trapezoid ABCD, and four times the length of AB. What is the area of trapezoid EFGH, in cm2?

144
180
45
90

Question 8 of 13

8. Question

Find the sum of all the prime numbers between 20 and 40.

91
152
147
120

Question 9 of 13

9. Question

Wallace and Gromit work together to build 3-legged stools and 4-legged tables. They use the same legs for both stools and tables. Last week, they needed 67 legs, and they built 6 more stools than tables. How many stools did Wallace and Gromit make last week?

10
7
13
6

Question 10 of 13

10. Question

The comic book store is having a swap day. If Sheldon can get 2 X-Men comics for every 7 Spiderman, 5 Archies for every 4 X-Men, and 14 Batmans for every 15 Archies, how many Batmans can he get for 6 Spiderman comics?

2
6
3
5

Question 11 of 13

11. Question

a
b
c
d

Question 12 of 13

12. Question

Fred has drawn a triangle and labeled the angles P, Q, and R. If angle P is 75 degrees, and angle Q is 4 times angle R, what is the measure of angle R, in degrees.

70
21
35
84

Question 13 of 13

13. Question

If the length of a rectangle is increased by 10%, and the width is decreased by 10%, what is the effect on the area of the rectangle?

decreases by 1%
no change
increases by 1%
increases by 21%

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