Mahajana Mathematics Competition Sample Grade 6

Mahajana Mathematics Competition Sample
Grade 6
Part A (10 questions, each question is worth 2 marks)
1. Look at the addition on the
right
The above addition equal to
A) 1
B) 1.23
C) 3
D) 1.223333
2. Which of the following expression is equal to 128 ÷ 2?
A) (120 ÷ 2) + (8 ÷ 2)
B) (120 ÷ 2) ÷ (8 ÷ 2)
C) (120 +2) + (8 +2)
D) (120 + 2) ÷ (8 + 2)
3. Chandra, Brinta, Ken and Dharson buy different sandwiches and
salad for lunch. Their choices are shown below.
Chandra
Brinta
Ken
Dharson
Salad
$4.48
$4.48
$3.49
$3.49
Sandwiches
$3.99
$4.99
$4.99
$3.99
Which person should receive about $2.50 change from $10.00?
A) Chandra
4.
(B) Brinta
(C) Ken
(D) Dharson
Consider 5 terms in the following pattern
If the pattern continues same way, how many circles will be in
the seventh term?
A) 21
(B) 25
(C) 28
(D) 36
Mahajana Mathematics Competition Sample
Grade 6
5.
Rebecca creates a net of a rectangular prism as shown below.
5 cm
5cm
30
cm
5
cm
5 cm
What is the total surface area of the rectangular prism?
A) 450 cm2
(B) 600 cm2
(C) 650 cm2
(D) 750 cm2
6. Amir’s class has 24 students. There are 15 boys in the class.
Which of the following represents the ratio of girls to boys?
A) 24:9
(B) 9:24
C) 3:5
(D) 5:3
7. Mohana got in her car and started driving toward her
grandmother's house. After driving for 1 hour and 30 minutes,
Mohana took a break for 1 hour to have a snack. Then Mohana
drove 2 hours and 30 minutes and finally arrived at her
grandmother's house at 12:00 P.M. What time did Mohana start
driving?
A) 8.30 AM
(B) 11.30 AM
(C) 11.00 AM
(D) 7.00 AM
Mahajana Mathematics Competition Sample
Grade 6
8. Chandran, Prabu and Kamal share the cost of renting the video
game.
Chandran pays 0.4 of the cost
Prabu pays 36% of the cost
Kamal pays remainder of the cost
What fraction of the cost does Kamal pay?
A) 6/25
(B) 9/25
(C) 19/25
(D) 24/25
9. Which rule describes the following pattern
1, 2, 4, 8, 16, 32 …
A) Start with 1 and add 1 to find the next term
B) Start with 1 and add 2 to find the next term
C) Start with 1 and divide by 2 to find the next term
D) Start with 1 and multiply by 2 to find the next term
10. Look at the back of an envelope is shown below.
The best statement describes the back of the envelope is
A) 4 rectangles and 4 isosceles triangles
B) Four equilateral triangles
C) a rectangle with two diagonals
D) a parallelogram and 4triangles
Mahajana Mathematics Competition Sample
Grade 6
Part B (10 questions, each question is worth 4 marks)
11. The spinner below has 8 equal sized sections
The spinner is spun one time. What is the probability that
arrow will land in a section with the number greater than 3?
(A) 0.125
(B) 0.250
(C) 0.625
(D) 0.750
12. Julie records the amount of rainfall at
her school for one week in spring. The mean
amount of rainfall for the week is
(A) 20 mm (B) 22 mm (C) 23 mm D) 25 mm
13. The graph below shows the mean
daytime temperature for Windsor. Which
month has a daytime temperature that
is twice the April’s?
(A) July
(B) August
(C) September
(D) October
Mahajana Mathematics Competition Sample
Grade 6
14. Look at the triangle below and a parallelogram is drawn as
shown.
The expression can be used to find the area of the shaded region is
(A) 54 ÷ 2 – 12
(B) 54 - 4 X 12 ÷ 2
(C) 12 ÷ 2 – 54
(D) 12 - 54 ÷ 2
15. In St Mary’s College the sports teacher wants to pick team for a
game. The sports teacher puts the name of 8 boys and 6 girls in a
bag as shown below. The table shows the names of boys and girls.
The first 3 names picked at random from the bag were Paul, Jessica
and Sarah. The names are not put back in. The probability that the
next name picked at random will be a boy is
(A) 1 / 2
(B) 7/11
(C) 1/7
(D) 8/14
Mahajana Mathematics Competition Sample
Grade 6
16. Polygon PQRT is rotated 90 clockwise about point Q. What are
the new coordinates of point R after this rotation?
(A) (6, 7)
(B) (7, 6)
(C) (11, 2)
(D) (11, 6)
17. In the following equations, the letters x, y and z are real
numbers.
The numerical value of x + y + z is
(A) 58
(B) 110
(C) 75
(D) 77
18. The table below shows the width and height of 5 towers made
of blocks
If the tower continues to be built using the same pattern, for which
tower will difference between the width and the height be 7 blocks?
(A) Tower 7
(B) Tower 8
(C) Tower 9
(D) Tower 10
Mahajana Mathematics Competition Sample
Grade 6
19. Look at this stem-and-leaf plot:
Game show scores
Stem
4
5
6
7
8
Leaf
0489
25
1289
14477
046
How many people scored at least 47 points?
(A) 18
(B) 20
(C) 16
(D) 15
20. In McMillan Junior High School,
Miss. Jeya was the English teacher for
grade 7 class?
The bar graph shows the number of
pages boys and girls in Miss Jeya’s class
read in one week.
Which conclusion can be made about
the number of pages made during one
week?
(a) The boys read more pages than girls during this week
(b) The girls read more pages than boys during this week
(c) The students read more pages on Tuesday than on Monday
(d) The girls and boys read the same number of pages during this
week
Mahajana Mathematics Competition Sample
Grade 6
Part C (5 Questions, each question is worth 6 marks)
21. Look at the triangle on the right side.
The value of the angle z in degrees is
(A) 1200
(B) 1800
(C) 600
(D) 1500
22. Bridle Town Circle Mall Ice cream
shop’s pictograph shows the number of
students who choose the different ice
cream flavour as their favorite to eat.
The BAR GRAPH on right best represents
the Bridle Town Circle Mall Ice cream
shop’s Pictograph data is
Mahajana Mathematics Competition Sample
Grade 6
23. A carpenter is replacing some missing steps at the front of
Mohan’s house. The steps have uniform height and width. In
Mohan’s house, the bottom three steps are missing. He wants to
use the same heights for the new
steps as the old steps. The
carpenter measures the height
from the ground to the top of
each remaining step.
• The fourth step is 66 cm from
the ground.
• The fifth step is 82.5 cm from
the ground.
• The sixth step is 99 cm from the ground.
The carpenter plans to make each step increase by the same
amount. The heights of the second step from the ground is
A) 16 cm
B) 33 cm
C) 41 cm
D) 32.5 cm
24. KULAN was walking home from school when he realized he had
forgotten his homework in his locker in the school. He walked back
to the school, picked up his homework and then walked home.
The graph shows KULAN walking
distance from school to home at
different times.
The total distance walked by KULAN
from school to home is
(A) 2800 m (B) 1000 m
(C) 800 m
D) 1400 m
Mahajana Mathematics Competition Sample
Grade 6
25. The Figure1, Figure 2, Figure 3and
showing arrangements of square tiles
tile is represented by
Figure 4 below
and each square
More Figures can be drawn like above, each Figure having one row
of tiles more than the previous Figure. The number of tiles in Figure
6 is
A)
16
B) 25
C)
36
D) 49
BONUS QUESTION (10 Marks)
Twelve cubes measuring 3 cm by 3 cm by 3 cm fit perfectly into the
rectangular box shown below.
Find the possible length, width and height of the box in cm.
Show your work.
Good Luck!