Đề thi thử IMAS năm 2018

What does it look like after the “ZACK” on the outer layer has moved 5 times and after the “ZACK” on the inner layer has moved 3 times?... MathSpace Education – Hotline: 0984 886 277 P[r]

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International Mathematics Assessments for Schools

IMAS 2018 MOCK TEST

Time allowed：75 minutes Calculator is not allowed

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Questions 1-10, marks each

1 Write the following 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) B) C) D) 10 E) 11

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

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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) 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, 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

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Find the remaining area of the paper in figure

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

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 distinct areas When hit, the areas are worth 1, 5, or 10 points Mathusalem hit the target times and scored 38 points How many times did he hit the 5-point area?

A) B) C) D) E)

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

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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 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) B) C) D) E)

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

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A) 100cm2 B) 120cm2 C) 200cm2 D) 96cm2 E) 220cm2

19 In triangle ABC, BD=DE=EC The total area of regions and is 36 cm2 What is the area of the shaded region (in cm2)?

A) B) 12 C) 16 D) 24 E) 26

20 The word ZACK on the outer layer moves clockwise and the word ZACK on the inner layer moves counterclockwise in a way that each letter is replaced by the letter right before it The first moves of both have been shown below

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21 In the addition problem at the right, each letter represents a digit and different letters represent different digits What three-digit number does DER represent?

22 Find the 3th number (from left to right) of the 12th row in the number

pattern below

23 Rectangle ABCD with perimeter of 42 cm is cut along the solid line into different shapes What is the sum of the perimeters of the two resulting shapes

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123 461

221 422

218 ?

Z Z Z

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What result does it produce when it acts on number 218?