Đề thi thử IMAS năm 2018

IMAS 2018 Preparation Mock Test

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MathSpace Education – www.mathspace.edu.vn

International Mathematics Assessments for Schools

IMAS 2018 MOCK TEST

Time allowed：75 minutes. Calculator is not allowed.

IMAS 2018 Preparation Mock Test

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Questions 1-10, 3 marks each

1 Write the following 5 numbers: 3782, 2863, 1935, 2926, 3931 in increasing order (from the smallest to largest). The fourth number written is:

A) 3782 B) 2863 C) 3931 D) 1935 E) 2926

2 How many triangles can you count in the diagram shown?

A) 7 B) 8 C) 9 D) 10 E) 11

3 The value of (1 + 2 + 3 + … + 20) is 210. What is the value of (2 + 4 + 6 + … + 40)?

A) 315 B) 360 C) 400 D) 410 E) 420

4 What should the starting number be in the following diagram ?

A) 20 B) 76 C) 23 D) 36 E) 19

5 The front view and top view of a stack of cubes is shown below. At least how many cubes are needed to build such stack of cubes?

A) 3 B) 4 C) 5 D) 6 E) 7

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6 A group of ants move up and down hills as shown. It takes them 50 minutes to move from A to B, 38 minutes to move from C to D and 30 minutes from E to F. How long does it take them to move from D to E? (The two hills are repeated over and over again).

A) 8 minutes B) 12 minutes C) 20 minutes D) 30 minutes E) 35 minutes

7 If the pattern continues, which animal is the 2018th animal?

A) Giraffe B)Tiger C) Elephant D) Zebra E) Leopard

8 Given five digits: 2, 3, 4, 5, 6. How many odd 3-digit numbers with distinct digits are there formed by those digits? A) 12 B) 24 C) 36 D) 48 E) 60

9 The set of stairs shown at the right is constructed by placing layers of cubes on top of each other. What is the total number of cubes contained in the staircase ?

A) 36 B) 16 C) 48 D) 64 E) 21

10 Mary has a rectangular piece of paper measuring 30 cm by 20 cm. She

folded the papers into halves twice (as shown in figure 1 below).

Mary then made two cuts each measuring 6 cm as shown in the figure below.

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Find the remaining area of the paper in figure.

A) 144 B) 456 C) 480 D) 528 E) 500

Questions 11-20, 4 marks each

11 Four students are sitting about a round table. A is opposite to B and D

does not sit immediately on the right of B. Who is sitting immediately on the right of D?

A) B B) A C) D D) C E) B or C

12 A target is composed of 3 distinct areas. When hit, the areas are worth 1,

5, or 10 points. Mathusalem hit the target 8 times and scored 38 points. How many times did he hit the 5-point area?

A) 4 B) 3 C) 5 D) 2 E) 1

13 Beads are strung on a string in a pattern of two white beads followed by

three black beads, and so on, as shown below.

How many black beads if there are totally 40 beads.

A) 30 B) 24 C) 18 D) 20 E) 30

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14 The diagram below shows a rolling cube. The number on the face touching

the board is imprinted on that square. The sum of each pair of opposite numbers is 7. What is the sum of A + B +C + D + E + F+ G?

A) 15 B) 16 C) 17 D) 18 E) 20

15 An ant is crawling from Point A to Point B down a staircase as in the

figure.

How many meters will it need to crawl to reach Point B ?

A) 8cm B) 20cm C) 18cm D) 16cm E) 13cm

16 Jerry spotted a piece of cheese at one of the corners of a 3x3 grid. He

cannot turn left. How many different routes can he take to get to the cheese? (Repetition is not allowed)

A) 3 B) 4 C) 5 D) 6 E) 9

17 Two apples and three oranges cost $12. Four such oranges cost $8. How

much does an apple cost?

A) $2 B) $3 C) $4 D) $6 E) $12

18 The side of each small square in the figure is 4 cm. Calculate the area of

the quadrilateral ABCD.