Font size
S
M
L
XL
WorksheetsThe Great Math Challenge 2018
Total questions: 95
Worksheet time: 3hrs 48mins
Name
Class
Date
1.
Solve the following equation:
9.331 - (-4.71) = ?
9.331 - (-4.71) = ?
a)
14.041
b)
4.621
c)
13.402
d)
4.602
2.
Change this improper fraction into a mixed number:
47/5
(Use your multiplication chart)
47/5
(Use your multiplication chart)
a)
9 ⅖
b)
8 7/5
c)
9 ⅕
d)
8 ⅚
3.
A sprinter runs 400 meters in 54 seconds. What is the runner’s average running rate in meters per second? Round to the nearest tenth.
a)
8.5 meters per second
b)
7.8 meters per second
c)
7.4 meters per second
d)
6.8 meters per second
4.
Which expression is equivalent to the algebraic expression below? 3(–2x – 1)
a)
x+2
b)
x-1
c)
-6x-3
d)
-6x-1
5.
A large pizza at Angelo’s Pizzeria has a diameter of 14 inches. What is the area of the pizza? Use 3.14 for π. Round to the nearest tenth.
a)
44
b)
122.7
c)
153.9
d)
615.4
6.
4(x + 1) = -16
a)
-3
b)
-5
c)
-63
d)
-65
7.
What is the product of the expression? -7(-3)
a)
-21
b)
-10
c)
10
d)
21
8.
What is the solution of the inequality
x - 26 > 65?
x - 26 > 65?
a)
x > 39
b)
x < 39
c)
x > 91
d)
x < 91
9.
evaluate a + 6 when a = 2
a)
2
b)
6
c)
8
d)
12
10.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
11.
REVIEW QUESTION
Is this table proportional or non-proportional?
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
12.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
13.
Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?
a)
75
b)
51
c)
36
d)
isaiah
14.
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
a)
4.25
336
336
336
336
b)
4.2
c)
5.2
d)
5.25
15.
-3+8
a)
5
b)
-5
c)
11
d)
-11
16.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
17.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
18.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
19.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
20.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
21.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
22.
These figures are similar. Solve for x.
a)
3
b)
5
c)
4
d)
2
23.
What is the unit rate for this graph?
a)
100
b)
25
c)
50
d)
200
24.
Find the measure of the indicated angle.
a)
26
b)
36
c)
85
d)
144
25.
. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth.
a)
251.2 m
b)
502.4 m
c)
12,352 m
d)
20,096 m
26.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
27.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
28.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
29.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
30.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
31.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
32.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
33.
x⁵⁄x³
a)
x²
b)
x
c)
1
d)
x⁸
34.
Simplify
x⁻⁶
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
35.
Simplify
m⁵⋅m²
m⁵⋅m²
a)
m⁷
b)
m³
c)
m¹⁰
d)
m²
36.
Simplify
(y³)⁵
(y³)⁵
a)
y¹⁵
b)
y⁸
c)
y⁻²
d)
y
37.
Simplify
x0
x0
a)
x
b)
0
c)
1
d)
Undefined
38.
What is the base in 28 ?
a)
8
b)
2
39.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
40.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
41.
When multiplying exponential expressions with the same base, what always happens to the exponents?
a)
they are added together
b)
they are subtracted
c)
they are divided
d)
they are multiplied
42.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
43.
3-3
a)
27
b)
-9
c)
-1/9
d)
1/27
44.
x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
45.
5-2
a)
-10
b)
1/25
c)
1/10
d)
-1/10
46.
-14x7/7x
a)
-2x6
b)
-2x
c)
-2x5
d)
-2x8
47.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
48.
7⁵⁄7³
a)
7²
b)
7
c)
1
d)
7⁸
49.
3³ ⋅ 3
a)
34
b)
33
c)
30
d)
1 ⁄ 34
50.
All triangles can be solved using the Pythagoras theorem and the Trigonometric Ratios
a)
True
b)
False
51.
Find X
a)
35
b)
20
c)
8
d)
12
52.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
53.
solve for c
a)
7
b)
9
c)
4
d)
13
54.
Identify the hypotenuse.
a)
x
b)
z
c)
w
55.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
56.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
57.
The hypotenuse in this triangle is equal to
a)
9
b)
12
c)
15
d)
90 degrees
58.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
59.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
60.
Find x.
a)
35
b)
20
c)
8
d)
12
61.
To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
a)
35
b)
22
c)
58
d)
75
62.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.
a)
5.2 m
b)
5.3 m
c)
5.7 m
d)
5.8 m
63.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
64.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
65.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
66.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
67.
solve for c
a)
7
b)
9
c)
4
d)
13
68.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
69.
What is the probability of getting an odd number when rolling a single 6 sided die?
a)
1/6
b)
2/6
c)
3/5
d)
3/6
70.
What is the probability of pulling a red marble
out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
71.
What is the probability of choosing the letter
i from the word probability?
a)
1/10
b)
2/11
c)
2/2
d)
1/10
72.
What is the probability of landing on the color blue on the spinner?
a)
3/3
b)
5/3
c)
3/12 or 1/4
d)
1/3
73.
What is the probability of the spinner landing on red?
a)
5/12
b)
1/5
c)
5/5
d)
3/5
74.
Is the spinner more likely or less likely to land
on green than yellow?
on green than yellow?
a)
more likely
b)
less likely
75.
Is it certain or impossible for the spinner to land on orange?
a)
imposssible
b)
certain
76.
What is the probability of the spinner landing on an odd number?
a)
1/2
b)
4/4
c)
1/4
d)
1/3
77.
What is the probability of choosing a marble
that is not green from the jar?
that is not green from the jar?
a)
10/20
b)
10/10
c)
3/20
d)
7/20
78.
Which color marble is least likely to be pulled from the jar?
a)
Green
b)
Red
c)
Blue
80.
Is it more likely or less likely to pull a red marble than a green marble?
a)
more likely
b)
less likely
80.
Is it more likely or less likely to pull a red marble than a green marble?
a)
more likely
b)
less likely
81.
Based on chart which color marble do you think there are more of in the jar?
a)
red
b)
blue
c)
green
d)
yellow
82.
Based on the chart of how many tries which color of marbles are there the least of in the jar?
a)
red
b)
blue
c)
yellow
d)
green
83.
What is the probability of selecting a cherry piece of candy?
a)
3 out of 10
b)
3 out of 3
c)
3 out of 9
d)
4 out of 10
84.
What is the probability of selecting a cherry piece of candy?
a)
3 out of 10
b)
3 out of 3
c)
3 out of 9
d)
4 out of 10
85.
What is the probability of selecting a lemon flavor candy from the box?
a)
5 out of 9
b)
5 out of 10
c)
4 out of 9
d)
5 out of 12
86.
What is the probability of selecting a grape piece?
a)
3 out of 3
b)
3 out of 9
c)
3 out of 12
d)
4 out of 12
87.
What is the probability of selecting either a cherry or grape piece of candy?
a)
3 out of 4
b)
7 out of 12
c)
4 out of 3
d)
6 out 12
88.
If you ate 3 lemon, 3 cherry and 3 grape, then which flavor would you have the highest probability of choosing next?
a)
grape
b)
cherry
c)
lemon
89.
If you were to select one shape at random from the array what would be the probability that it would be a circle?
a)
6 out of 6
b)
5 out of 5
c)
6 out of 16
d)
5 out of 16
90.
If you were to roll the die one time what is the probability of it landing on a 2?
a)
2 out of 6
b)
2 out of 2
c)
1 out of 6
d)
1 out of 1
91.
Is it likely, less likely, certain or impossible to select a red marble from a box of 12 red marbles?
a)
likely
b)
less likely
c)
certain
d)
impossible
92.
Is it less likely, more likely, equally likely or impossible to roll and even number on 1 die roll?
a)
less likely
b)
more likely
c)
equally likely
d)
impossible
93.
Is it more likely, less likely, equally likely or impossible to select a boy on a field trip from group of 35 students with 12 girls?
a)
more likely
b)
less likely
c)
equally likely
d)
impossible
94.
Is it more likely, less likely, certain or impossible to select of red marble from a box of marbles that have 12 white marbles?
a)
more likely
b)
less likely
c)
certain
d)
impossible
95.
Are you more likely or less likely to do well on your math test if you practice and study before, give your best effort, and work out all your problems on your test?
a)
more likely
b)
less likely
Reset
