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Ramanujan Math Contest 2021 Grade 8

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

The ratio of girls to boys at the school dance was 5 : 7. If there were 135 girls at the dance, how many boys were at the dance?
a.
27
c.
130
b.
189
d.
79
 

 2. 

Terri earned $145.32 for 12 h of work. What was her hourly rate?
a.
$7.31/h
c.
$12.11/h
b.
$11.34/h
d.
$17.44/h
 

 3. 

The sale price of a pair of boots is $65.27. The regular price is $95.99. What is the percent of the discount?
a.
26%
c.
32%
b.
30%
d.
40%
 
 
Figure 5.2
nar001-1.jpg
 

 4. 

In Figure 5.2 above, what is the circumference of the circle shown? Round your answer to one decimal place.
a.
81.0 mm
c.
491.5 mm
b.
254.5 mm
d.
508.9 mm
 
 
Figure 7.12
nar002-1.jpg
 

 5. 

In Figure 7.12, if a translation vector of [3, –2] was applied to the point of rotation, what would be the new point of rotation?
a.
(1, 0)
c.
(–1, 0)
b.
(0, 1)
d.
(0, –1)
 

 6. 

Lamoie works at a music store. He earns $8.50/h plus 8% of the price of every item he sells. What is an algebraic expression for Lamoie’s earnings?
a.
mc006-1.jpg
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
none of the above
 
 
Figure 1.2
nar003-1.jpg
 

 7. 

In Figure 1.2, what is the measure of mc007-1.jpgw?
a.
70°
c.
73°
b.
37°
d.
none of the above
 

 8. 

What number is missing from the chart below?
Faces
Vertices
Edges
8
7
 
a.
17
c.
13
b.
15
d.
none of the above
 

 9. 

A twelve-sided die and a six-sided die are thrown. What is the probability that two 1s do not come up?
a.
mc009-1.jpg
c.
mc009-3.jpg
b.
mc009-2.jpg
d.
none of the above
 

Short Answer
 

 10. 

Write sa010-1.jpg as a power.
 

 11. 

Why does 30% of 0.75 equal 0.225?
 

 12. 

Which of the following has the greatest sum? Explain how your answer is correct.
a. sa012-1.jpg
b. sa012-2.jpg
 
 
Figure 2.2
nar004-1.jpg
 

 13. 

In Figure 2.2, what is the measure of sa013-1.jpgc?
 

Problem
 

 14. 

MaryLee want to paint the diagram below on her bedroom wall. How much paint will she need to paint all 16 circles? Round your answer to one decimal place.
pr014-1.jpg
 

 15. 

Create a problem for the equation pr015-1.jpg. Then solve your problem and explain your solution.
 

 16. 

Faced with a decision to improve your community, region or world, what would you do?
 



 
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