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Date
Grade 8 Math Test
Exponents, Scientific Notation, Pythagoras Theorem
Part A: Multiple Choice - Circle the letter of the correct answer.
Use the following to answer questions 1-2.
1. What value represents the base?
A. 4
B. 7
C. 28
D. 2401
2. What value represents the exponent?
A. 4
B. 7
C. 28
D. 2401
3.
4
A.
B.
C.
D.
1
2
3
4
=1
4. What is 22 + 3 X 2
A. 64
B. 49
C. 14
D. 10
5. What is the length of side AB ?
A.
B.
C.
D.
1.1 cm
3.8 cm
2.8 cm
7.7 cm
6. What is
A.
B.
C.
D.
104
10-4
10-5
105
1
expressed as a power of 10 ?
10000
74= 7 x 7 x 7 x 7 = 2401
7. In triangle XYZ, which side is the hypotenuse?
A. YZ
B. ZX
C. There is no hypotenuse
D. XY
8. Which of the following is NOT a perfect square ?
A. 16
B. 36
C. 144
D. 216
9. Which of the following is closest to the square root of 29 (to one decimal place) ?
A. 14.5
B. 5.3
C. 5.4
D. 5.5
10. Which of the following is written in correct form for scientific notation ?
A. 12.45 X 1000
B. 1.245 X 105
C. 0.0012 X 103
D. 123 X 10-1
11. Which is 6.3  104?
A) 630 000
B) 63 000
D) 6.44
C) 63 636 363
12. Which of the numbers below is closest to 9?
A)
90
B)
80
C)
18
D)
99
13. What is (-3) X (-3) X (-3) expressed as a power ?
A. (-3)-3
B. -27
C. (-3)3
D. 33
14. One of the smallest insects, the parasite wasp, has a mass of 0. 000 005 1 grams. In scientific
notation, the mass is
A) 5.1  10-7
B) 5.1  10-6
C) 5.1  106
D) 5.1  107
15. How much greater is 103 than 102?
A) 1
B) 10
C) 90
D) 900
2
16. Which number is not expressed in scientific notation ?
A. 62 X 103
B. -5.1244 X 102
C. 6.0002 X 10-7
D. 8.1 X 103
17. What is the sum of
A. 1
36 +
25 ?
B.
61
C. 11
D. 61
18. Which is
A. 32
B. 64
C. 80
D. 800
6400 ?
19. Solve the following: 6 + 3 X 4 x
A.
B.
C.
D.
1
2
12
20
21
26
20. What operation sign should go between the 6 and the 3 to make the following statement true?
6
A.
B.
C.
D.
3+4–1=5
+
x

21. Between which pair of numbers is
A. 16 and 17
B. 16 and 25
C. 8 and 9
D. 4 and 5
17 ?
22. The length of the kite string “x”, to the nearest metre, is
5m
12 m
A) 7 m
B) 13 m
C) 17 m
D) 60 m
3
23. What is the area of the square on the third side of the triangle?
A.
B.
C.
D.
2400
100
20
10
24. Squares are drawn on each side of this right triangle. What is the area of the square on XZ?
A) 20 cm3
B) 40 cm3
C) 96 cm3
D) 208 cm3
25. Which is 9 ÷ 3 – 2 + 16 ÷ 2?
A) 8.5
B) 12.5
C) 9
D) 17
Part B: Make sure to answer ALL of the following questions. YOU MUST SHOW YOUR
WORK! You can use a calculator but you still have to show the steps you took to solve
the problem. When using Pythagoras Theorem you MUST put the correct formula
down.
1. Solve each of the following:
a). 72 X 7
b ). 24 X 25
d). 35  32
e). 66  6
c ). 124 X 12-2
f). (32 X 34)  33
4
2. Is 6.3  10-1 a positive or a negative number? Explain your answer.
3. How long is the ladder in the drawing below?
4. A high school swimming pool has the dimensions shown.
While the swimming coach walks along the edge of the pool from A to B to C, a swimmer swims
diagonally from A directly to C.
A). How far does the coach walk?
B). How far does the swimmer swim?
C). How much farther does the coach travel?
5
5. Express each number as a power with a base that is a fraction.
i).
1
100
ii).
9
4
iii).
64
27
6. Simplify each expression.
a). 12 + 2 x (33 – 15)
c). 12 + 32 x 5 - 22
b). (32 + 25)0
d). (
1 2
2
) + ( )2
2
3
7. The table lists some amazing facts from the world of science. What numbers complete the table?
Science Facts
a) Number of known insect species
b) Number of known species of all other
animals, including mammals
c) Estimated age of Earth
d) Area of Earth’s largest ocean, the
Pacific
e) Distance from Earth to the moon
f) Thickness of a plastic film
Standard Form
Scientific Notation
5.1 x 105
1 200 000
4.6 x 109 years
1.65 x 106 km2
384 700 000km
0.000 001 m
BONUS
6
7