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TIMO 2021 Grade 5 Preliminary Set 4

Question 1

According to the pattern shown below, what is the number in the question mark? 20, 15, 18, 18, 16, 21, ?, ...

Question illustration
  1. 14
  2. 18
  3. 10
  4. 24

Question 2

There are some chickens and rabbits, where the number of chickens is 28 more than the number of rabbits. If there are 320 legs in total, how many rabbits are there?

Question illustration
  1. 34
  2. 62
  3. 44
  4. 72

Question 3

A bookstore had a box of books. One half but 2 more books were sold on the first day. Two third of the remaining part and 3 fewer books were sold on the second day. Finally, 9 books are left. How many books did the bookstore have originally?

Question illustration
  1. 28
  2. 76
  3. 40
  4. 58

Question 4

Alice needs 60 days to finish a project. Peter needs 15 days to finish the same project. If Alice and Peter do the project together, how many days do they need to finish it?

Question illustration
  1. 75
  2. 12
  3. 45
  4. 20

Question 5

There are 10 blue balls, 18 red balls and 5 green balls in a bag. At least how many balls should be picked up at random to ensure there are 3 balls for each colour?

Question illustration
  1. 31
  2. 26
  3. 33
  4. 18

Question 6

Find the value of 11×111.

Question illustration
  1. 12221
  2. 1221
  3. 121
  4. 12321

Question 7

Find the value of (3/$2+3$/$4+3$/$6+3$/8)÷(9/$5+9$/$10+9$/$15+9$/20).

Question illustration
  1. 25/8
  2. 15/4
  3. 4/5
  4. 5/6

Question 8

Find the value of 200÷$4+400$÷$8+600$÷$12+800$÷16.

Question illustration
  1. 200
  2. 250
  3. 240
  4. 150

Question 9

Find the value of 34×$34-8$×32.

Question illustration
  1. 900
  2. 1412
  3. 1156
  4. 256

Question 10

Find the value of 1/$2+1$/$4+1$/8+...+1/$512+1$/1024.

Question illustration
  1. 1015/1024
  2. 511/512
  3. 1023/1024
  4. 127/188

Question 11

If 10-digit number 201905139B is divisible by 12, find the value of B .

Question illustration
  1. 2
  2. 6
  3. 4
  4. 8

Question 12

Find the last 4-digits of (141×144×147×...×186×189×192).

Question illustration
  1. 4000
  2. 2800
  3. 0900
  4. 0000

Question 13

Define the operation symbol a⊕b=3×a−2×b; find the value of 11⊕(6⊕4).

Question illustration
  1. 13
  2. 8
  3. 33
  4. 55

Question 14

Teacher gives some candies to students. If everyone gets 9 candies, 2 candies will be left. If everyone gets 7 candies, 18 candies will be left. How many candies do teacher have?

Question illustration
  1. 56
  2. 72
  3. 74
  4. 90

Question 15

How many 3 - digit numbers that can be divisible by 4 with unit digit 2 are there?

Question illustration
  1. 54
  2. 27
  3. 36
  4. 45

Question 16

How many rectangles are there in the figure below?

Question illustration

Question illustration
  1. 63
  2. 71
  3. 77
  4. 78

Question 17

A square is formed by 128 rectangles that are 2cm×1cm. Find the decrease in perimeter in cm after the combination.

Question illustration
  1. 640
  2. 832
  3. 768
  4. 704

Question 18

22 small cubes with side length 1cm are stacked to get the figure below. Find its surface area in cm2.

Question illustration
  1. 60
  2. 67
  3. 55
  4. 58

Question 19

Find the size of one angle in an equilateral triangle.

Question illustration
  1. 90o
  2. 60o
  3. 45o
  4. 30o

Question 20

ABDF is a square. ⊿FDE and ⊿BDC are right isosceles triangles. Find the area of ACDE given that FE = BC = 10.

Question illustration
  1. 125
  2. 100
  3. 75
  4. 50