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Ramanujan Math Contest Grade 8

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

 1. 
Evaluate the expression mc001-1.jpg.
a.
18.257
c.
29.892
b.
26.755
d.
35.486
 

 2. 
Evaluate the expression mc002-1.jpg.
a.
35
c.
61
b.
57
d.
131
 

 3. 
Which is the smallest?
a.
mc003-1.jpg
c.
mc003-3.jpg
b.
mc003-2.jpg
d.
mc003-4.jpg
 

 4. 
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
 

 5. 
What is the mean of 112, 99, 104, 108 115, 120, and 105?
a.
107
c.
109
b.
108
d.
110
 
 
Figure 2.1 – Time Spent Working
nar001-1.jpg
 

 6. 
Grade 11 students were surveyed about the number of hours they spent working each week. The results are in Figure 2.1. How many intervals are in the graph?
a.
4
c.
6
b.
5
d.
7
 
 
Figure 1.3
nar002-1.jpg
 

 7. 
In Figure 1.3, which algebraic expression represents this sequence?
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 
Which has the greatest value?
a.
mc008-1.jpg
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
mc008-4.jpg
 
 
Figure 7.3
nar003-1.jpg
 

 9. 
In Figure 7.3, what would be the coordinates of point P’ if point P was reflected in the y-axis?
a.
(4, –2)
c.
(–4, 2)
b.
(4, 2)
d.
none of the above
 

 10. 
In Figure 7.3, what would be the coordinates of point G’ if point G was reflected in the x-axis?
a.
(–3, –4)
c.
(–4, –3)
b.
(3, 4)
d.
none of the above
 

 11. 
What is the algebraic expression for the following?
A house is one–third as tall as an apartment building. Together their heights are 60 m.
a.
mc011-1.jpg
c.
mc011-3.jpg
b.
mc011-2.jpg
d.
none of the above
 

 12. 
Bob and Doug bought some toques and some headphones. The toques cost $15 each and the headphones cost $72 each. If Bob and Doug’s total bill for these items was $261, how many of each item did they buy?
a.
3 toques and 3 headphones
c.
3 toques and 2 headphones
b.
2 toques and 4 headphones
d.
4 headphones and no toques
 
 
Figure 9.1 – Cory’s Daily Activities
nar004-1.jpg
School nar004-2.jpg
Eating nar004-3.jpg
Football nar004-4.jpg
Homework nar004-5.jpg
Sleeping nar004-6.jpg
Other activities nar004-7.jpg
 

 13. 
Using Figure 9.1, answer the following. As a fraction, how much of Cory’s day is spent doing the following activities? School, Football, and Sleeping
a.
mc013-1.jpg
c.
mc013-3.jpg
b.
mc013-2.jpg
d.
none of the above
 

 14. 
What is mc014-1.jpg?
a.
mc014-2.jpg
c.
mc014-4.jpg
b.
mc014-3.jpg
d.
none of the above
 

 15. 
What is mc015-1.jpg?
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
none of the above
 

 16. 
What is the measure of the marked angle?
mc016-1.jpg
a.
90°
c.
30°
b.
60°
d.
none of the above
 
 
Figure 1.5
nar005-1.jpg
 

 17. 
Which angles are supplementary?
a.
mc017-1.jpgj, mc017-2.jpgn
c.
mc017-5.jpgm, mc017-6.jpgg
b.
mc017-3.jpgc, mc017-4.jpgk
d.
mc017-7.jpgd, mc017-8.jpga
 

 18. 
What is the missing measurement in the following chart? (use 3.14 for mc018-1.jpg)
Volume of a Cylinder
Radius (cm)
Height (cm)
Volume (cm3)
7.9
15
 
a.
372.09
c.
2939.511
b.
744.18
d.
none of the above
 

 19. 
Which measurements of a cylinder would produce the greatest volume?
a.
radius = 9 cm, height = 0.5 cm
c.
diameter = 15 cm, height = 4 cm
b.
radius = 8 cm, height = 1 cm
d.
diameter = 10 cm, height = 10 cm
 

 20. 
From a normal, full deck of cards, what is P(heart) as a fraction in lowest terms?
a.
mc020-1.jpg
c.
mc020-3.jpg
b.
mc020-2.jpg
d.
none of the above
 

 21. 
A bag contains 30 marbles. There are 10 red marbles and 8 green marbles, and the rest of the marbles are black. What is the probability of not picking a black marble?
a.
mc021-1.jpg
c.
mc021-3.jpg
b.
mc021-2.jpg
d.
none of the above
 

 22. 
Justice has a coin and a spinner with four equally divided sections. She flips the coin once and spins the spinner once. What is P(T, odd number)?
a.
mc022-1.jpg
c.
mc022-3.jpg
b.
mc022-2.jpg
d.
none of the above
 



 
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