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TIMO 2021 Grade 6 Preliminary Set 2

Question 1

A train is travelling at 72km per hour. It crosses a 220-meter bridge in 17 seconds. Find
the length of the train in meter.

Question illustration
  1. 120
  2. 560
  3. 1004
  4. 340

Question 2

It takes tap A 8 hours to fill up the tank alone but it takes tap B 16 hours to fill up the
tank alone. One day, the tank is empty. They open tap A only for 2 hours then they open
both taps. How many hours does it take until the tank is full?

Question illustration
  1. 6
  2. 4
  3. 5
  4. 14

Question 3

What is the 10th number in the sequence 1, 2, 5, 10, 17, ...?

Question illustration
  1. 101
  2. 65
  3. 26
  4. 82

Question 4

Find the missing number in the diagram with pattern below.

Question illustration
  1. 131
  2. 78
  3. 113
  4. 71

Question 5

In a training lesson, an athlete shot 30 bullets. He got 10 points for each bullet hitting the
target and lost 5 points for each bullet missing the target. After completing the training
lesson, he got 105 points. How many bullets hit the target?

Question illustration
  1. 17
  2. 13
  3. 21
  4. 9

Question 6

Find the value of 64²−36².

Question illustration
  1. 5392
  2. 1800
  3. 2800
  4. 56

Question 7

Find the value of 1/(2−3/(4−5/6)).

Question illustration
  1. 38/75
  2. 19/20
  3. 20/19
  4. 75/38

Question 8

Find the value of 3+6+12+24+...+3072.

Question illustration
  1. 2193
  2. 6414
  3. 9213
  4. 6141

Question 9

What is P if P=1×2+2×3+3×4+...+29×30?

Question illustration
  1. 9990
  2. 8990
  3. 8890
  4. 8880

Question 10

Let each letter M, A, T, H, K, I, O represent a distinct 1-digit number. Find the value of H
+ K + I + M + O.

Question illustration
  1. 17
  2. 18
  3. 19
  4. 20

Question 12

How many 3-digit numbers leave remainder 6 when divided by 7?

Question illustration
  1. 127
  2. 128
  3. 129
  4. 130

Question 13

If a 10-digit number 20212022AB is divisible by 18, find the maximum possible value of
A × B.

Question illustration
  1. 64
  2. 81
  3. 72
  4. 63

Question 14

Given that 2⊗3=3×5, 3⊗4=4×7×10, 4⊗5=5×9×13×17. Find the value of (3⊗6)÷(2⊗4).

Question illustration
  1. 108
  2. 54
  3. 36
  4. 27

Question 15

Lucas writes a sequence of natural numbers on the black board: 1, 2, 3, 4, < At least how
many numbers should he write so that their sum is divisible by 33?

Question illustration
  1. 10
  2. 33
  3. 21
  4. 11

Question 16

Given a right triangle with a side of length 20cm and a hypotenuse of length 29cm. Find
the area of that triangle in cm2.

Question illustration
  1. 420
  2. 290
  3. 210
  4. 240

Question 17

10 small cubes with volume 27cm3 each are combined to form the figure below. What is
the value of its total surface area in cm2?

Question illustration
  1. 360
  2. 120
  3. 180
  4. 324

Question 18

A rectangle has perimeter 34cm and integral side lengths. How many different values of
area the rectangle can have?

Question illustration
  1. 16
  2. 17
  3. 2
  4. 8

Question 19

Given a square formed by 4 identical quadrants as shown. The total length of the curves is 44. Find the area of the region bounded inside the curves. (π=22/7.)

Question illustration
  1. 42
  2. 56
  3. 63
  4. 70

Question 20

Six identical rectangles are combined to form the figure below with perimeter 110. Find
the area of the figure.

Question illustration
  1. 288
  2. 450
  3. 1800
  4. 1152