I N T E R N A T I O N A L C O N T E S T-G A M E
M A T H K A N G A R O O
C A N A
D A,2018
I N S T R U C T I O N S
G R A D E3-4
1.You have 60 minutes to solve 24 multiple choice problems. For each problem,
circle only one of the proposed five choices. If you circle more than one choice, your response will be marked as wrong.
2.Record your answers in the response form. Remember that this is the only sheet
that is marked, so make sure you have all your answers transferred to the response form before giving it back to the contest supervisor.
3.The problems are arranged in three groups. A correct answer of the first 8
problems is worth 3 points. A correct answer of the problems 9-16 is worth 4 points. A correct answer of the problems 17-24 is worth 5 points. For each incorrect answer, one point is deducted from your score. Each unanswered question is worth 0 points. To avoid negative scores, you start from 24 points. The maximum score possible is 120.
4.The use of external material or aid of any kind is not permitted.
5.The figures are not drawn to scale. They should be used only for illustration
purposes.
6.Remember, you have about 2 to 3 minutes for each problem; hence, if a problem
appears to be too difficult, save it for later and move on to another problem.
7.At the end of the allotted time, please give the response form to the contest
supervisor.
8.Do not forget to pick up your Certificate of Participation on your way out!
Good luck!
Canadian Math Kangaroo Contest team
Canadian Math Kangaroo Contest Part A: Each correct answer is worth 3 points
1.Lea has 10 rubber stamps. Each stamp has one of the digits:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
She prints the date of St. Patrick’s Day 2018:
How many different stamps does she use?
(A) 5
(B) 6 (C) 7 (D) 9 (E) 10
2.The picture shows three flying arrows and nine fixed
balloons. When an arrow hits a balloon, it bursts,
and the arrow flies further in the same direction.
How many balloons will be hit by the arrows?
(A) 2 (B) 3 (C) 4
(D) 5 (E) 6
3.Susan is six years old. Her sister is one year younger, and her brother is one year
older. What is the sum of the ages of the three siblings?
(A) 10 (B) 15 (C) 18 (D) 21 (E) 30
4.Here is a picture of Sophie the ladybug. She turns around. Which picture of
the ladybugs below is not Sophie?
(A)(B)(C)(D)(E)
5.Lucy folds a sheet of paper in half. Then she cuts a piece out of it. What will
she see when she unfolds the paper?
(A) (B) (C) (D)(E)
1 7032018
6. A table is set for 8 people.How many settings have the fork to the left of the plate and the knife to the right of the plate?
(A) 5
(B) 4 (C) 6 (D) 2 (E) 3 7.Emily added two 2-digit numbers correctly on paper. Then she painted out two cells,
as shown below.
3tilesWhat is the sum of two digits in the painted cells?
(A) 5
(B) 7 (C) 8 (D) 9 (E) 13 8.First, Diana scores 12 points in total with three arrows. On her second turn she
scores 15 points.
How many points does she score on her third turn?
(A) 18 (B) 19 (C) 20 (D) 21 (E) 22 Part B: Each correct answer is worth 4 points
9.How many different numbers greater than 12 and smaller than 58 with distinct digits
can we make by using any two of the digits 0, 1, 2, 5, and 8?
(A) 3
(B) 5
(C) 7 (D) 8 (E) 9
12 points
15 points ? points
10.Roberto makes designs using tiles like this .
How many of the following five designs can he make?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
11.Each of these five figures ,, , , , appears exactly once in every
column and every row of the given table.
Which figure must we put in the cell with the question mark?
(A) (B) (C) (D) (E)
12.Toby glues 10 cubes together to make the structure shown.
He paints the whole structure, even the bottom.
How many cubes are painted on exactly four of their faces?
(A) 6 (B) 7 (C) 8 (D) 9 (E) 10
13.The opposite faces of a cube are identical, being dark, bright or patterned.
Which picture below is the unfolded net of this cube?
(A)
14.Tom cuts two types of pieces out of grid paper.
What is the smallest number of pieces identical to the ones shown that Tom needs to build the boat in the picture?
(A) 5 (B) 6 (C) 7 (D) 8 (E) 9
15.The rooms in Kanga's house are numbered. Baby Roo enters
the main door, passes through some rooms and leaves the
house. The numbers of the rooms that he visits are always
increasing. Through which door does he leave the house?
(A) A (B) B (C) C (D) D (E) E
16.Peta rabbit had 20 carrots. She ate two carrots every day. She ate the twelfth carrot
on Wednesday. On which day did she start eating the carrots?
(A) Monday (B) Tuesday (C) Wednesday (D) Thursday (E) Friday
Part C: Each correct answer is worth 5 points
17.The belt shown in the drawing can be fastened in five ways.
How much longer is the belt fastened in one hole than the belt fastened in all five holes?
(A) 4 cm (B) 8 cm (C) 10 cm (D) 16 cm (E) 20 cm
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