Download Mathus Academy MathGenius Critical Thinking Math 2016 Grade 5

Grade 5
MathGenius National Contest
March 2016
Critical Thinking Math
1. (5 + 6 - 7) + 7 + (5 + 6 - 7) - 6 + (5 + 6 - 7) – 5 is same as
A.
B.
C.
D.
E.
4
3
2
1
0
x
x
x
x
x
(5
(5
(5
(5
(5
+
+
+
+
+
6
6
6
6
6
-
7)
7)
7)
7)
7)
2. (100+99+98+97…+51) - (50+49+48+47…+1) = ?
A.
B.
C.
D.
E.
0
50
500
1000
2500
3. When
1
2
1
is divided by , the quotient is ___.
6
A. 3
B.
C.
1
3
1
12
D. An irrational number
E. An imaginary number
4. The rear wheel of a bike has half the diameter of the front wheel. When rear wheel
turns four times, how many times will the front wheel turn?
A.
B.
C.
D.
E.
One time
Two times
Four times
Eight times
Sixteen times
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Grade 5
MathGenius National Contest
March 2016
Critical Thinking Math
5. The sum of two different positive whole numbers is 12. What is the greatest
possible value of the product of these two numbers?
A.
B.
C.
D.
E.
12
11
20
36
35
6. One angle in an isosceles triangle is 680. Which of the below could be another
angle?
A.
B.
C.
D.
E.
380
460
520
560
690
7. How many whole numbers less than 50 can be written as a product of two
consecutive whole numbers?
A.
B.
C.
D.
E.
6
7
8
9
10
8. The sum of two numbers is 26. Their difference is 14. What is the smaller of the
two numbers?
A.
B.
C.
D.
E.
2
4
5
6
7
2 This material is the property of Mathus Academy. All rights reserved.
Grade 5
MathGenius National Contest
March 2016
Critical Thinking Math
9. Square A has side lengths of x inches each. Square B has side lengths of 4x inches
each. What is the ratio of the area of the smaller square to the area of the larger
square?
A.
B.
C.
D.
E.
1:1
1:2
1:4
1:8
1:16
10.
A.
B.
C.
D.
E.
The circumference of a circle is 20𝜋 cm. What is its area?
400𝜋
200𝜋
100𝜋
40𝜋
20𝜋
11. Matt has forgotten the first and fourth digits of his four-digit locker combination.
What is the largest number of combinations he must try to open the locker?
A.
B.
C.
D.
E.
18
20
81
90
100
12.
A.
B.
C.
D.
E.
How many numbers from 1 to 72 are multiples of either 2 or 3?
60
24
36
48
40
3 This material is the property of Mathus Academy. All rights reserved.
Grade 5
MathGenius National Contest
March 2016
Critical Thinking Math
13. For how many two digit positive whole numbers, the tens digit is bigger than
the one digit?
A.
B.
C.
D.
E.
25
45
90
10
75
14.
A.
B.
C.
D.
E.
What is the area of the below square, if the length of the diagonal is 12?
64
72
96
144
288
12
15. Eight children each randomly picked a positive integer. If the average of these
eight numbers is 14, what could be the greatest possible integer that one of them
could have picked?
A.
B.
C.
D.
E.
15
84
105
111
112
16. What is the greatest two-digit number that is divisible by both 2 and 3, but not
4?
4 This material is the property of Mathus Academy. All rights reserved.
Grade 5
MathGenius National Contest
March 2016
Critical Thinking Math
17. A school band found that when they arrange themselves in groups of 5, they
have 2 left over. But, when they arrange themselves in groups of 8, they have
none left over. What is the minimum number of students in the school band?
18. If each of the digits 2, 4, 6, 8, and 9 are placed exactly one in each of the boxes
in the below addition problem, what is the greatest possible sum?
+
________________
19. How many different three digit numbers divisible by 25 can be made with digits
0, 3, 5, 7 if the digits can be repeated?
20. The mean (average) of seven numbers is 19. When one of the seven numbers
is removed, the mean (average) of the remaining six numbers is 21. What is the
number removed?
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5 This material is the property of Mathus Academy. All rights reserved.