Abel Mathematics

Contest

Grades 4 and 5

May 2014

"It appears to me that if one wishes to make progress in mathematics,

one should study the masters and not the pupils."

Niels Henrik Abel

1802-1829

Instructions:

1. Calculators may be used.

2. Select the best answer.

3. Transfer your answers to the Answer Form.

4. Diagrams are not always drawn to scale.

5. The time limit for the Niels Henrik Abel

Mathematics Contest is one hour.

1. Which of the following numbers is smaller than 4

3 ?

A. 0.74 B. 0.770 C. 0.8 D. 0.7599

2. 9 x 1000 + 2 x 10 + 7 x 10

A. 927 B. 990 C. 9027 D. 9090

3. 5 +

3

100+

2

1000

A. 0.532 B. 5.0032 C. 5.032 D. 5.32

4. Sebastian buys a snack that costs $2.75. He pays with a $5 bill and receives all of his change in quarters. How many quarters does he receive?

A. 8 B. 9 C. 11 D. 13

5. How many faces are on a rectangular pyramid?

A. 3 B. 4 C. 5 D. 6

6. Which of the following is a quadrilateral?

A. cube B. rhombus C. right triangle D. Square pyramid

7. If yesterday were Monday, then 8 days from today would be

A. Monday B. Tuesday C. Wednesday D. Thursday

8. Jenny brushes her teeth at 8:16 am and eats an apple 250 minutes later. At what time does she eat the apple?

A. 10:46 am B. 10:46 am C. 12:26 pm D. 2:50 pm

9. How many squares are in the diagram below?

(segments are of equal length and interior angles are 90°)

A. 9 B. 10 C. 13 D. 14

10. What is the next shape in the pattern below?

���� Next shape ?

A. B.

C. D.

11. Gurpreet runs 5 more laps than Manny. Jessica runs 42 laps which is 6 times more than the number of laps run by Manny. How many laps did Gurpreet run?

A. 12 B. 13 C. 35 D. 41

12. The object below was created by gluing together cubes. What is the total number of faces that are NOT glued to another cube?

A. 13 B. 20 C. 26 D. 28

13. A rectangular prism has a volume of 80 cm3. If its height is 5 cm, which of the following must be true?

A. The base must have a length of 8 cm and a width of 2 cm

B. The base must have a length of 4 cm and a width of 4 cm

C. The base area must be 16 cm2

D. The base length and width must be whole numbers

14. If 36 gizmos are worth 60 hoodoos, then ? gizmos are worth 25 hoodoos.

A. 18 B. 15 C. 12 D. 10

15. How many even numbers are greater than 2 and less than 100?

A. 47 B. 48 C. 49 D. 0

16. Multiply the first 100 positive whole numbers. The ones’ digit is

A. 2 B. 4 C. 8 D. 0

6

5

21

3

4

17. The area of the first shape below is 1 square unit. If the pattern is continued, what will be

the area of the 5th

shape?

.

1st shape 2nd shape 3rd shape

A. 10 square units B. 12 square units

C. 13 square units D. 14 square units

18. How many zeros are in the product of 2 x 555 555 555 555 555

A. 1 B. 2 C. 14 D. 15

19. If the spinner on the right is spun once, which of the

following is most likely?

A. Spinning a number greater than 4 B. Spinning a number less than 3 C. Spinning a 3 D. Spinning an odd number

7 x 350 x 7

20 x 350 x 20

7

20

350

7 x 35 x 7

2 x 35 x 2

7

2

35

21350

6100

7

2

35

7 + 350 + 7

20 + 350 + 20

7

20

350

20. Determine the result in the pattern below.

2014 – 15 + 2014 – 30 + 2014 – 45 + . . . + 2014 – 90

A. 9755 B. 10754 C. 11769 D. 13783

21. Which table best represents an array model of 53 x 27?

A. B.

C. D.

L

L L

LL

22. The figure below is reflected about the line segment L. What is the resulting image?

A. B.

C. D.

Image Image

Image Image

= ?++

= 13++

+ + = 17

23. If 2 + 4 + 6 + . . . + 100 = 2550 then 1 + 3 + 5 + . . . + 99 = ?

A. 2400 B. 2450 C. 2500 D. 2550

24. The area of each small square in the diagram below is 64 cm2. If you start at point A and move along the edges, what is the shortest distance to point B?

A. 40 cm B. 48 cm C. 80 cm D. 96 cm

25.

A. 21 B. 24 C. 29 D. 30

B

A