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TIMO 2021 Grade 6 Preliminary Set 5

Question 1

According to the pattern shown below, what is the number in the blank?

Question illustration
  1. 14
  2. 11
  3. 12
  4. 15

Question 2

There were 20 questions in a math quiz. 5 marks will be given for each correct answer. 1
mark will be deducted for each wrong or unattempted answer. Mia scored 76 marks in
the quiz. How many questions had she answered correctly?

Question illustration
  1. 17
  2. 11
  3. 16
  4. 15

Question 3

The distance between Tom’s house and Ben’s house is 36 km. At 1:00 p.m., they cycle toward each other. Tom travels at 6 m/s and Ben at 4 m/s. When do they meet?

Question illustration
  1. 3 p.m.
  2. 4 p.m.
  3. 5 p.m.
  4. 2 p.m.

Question 4

Which column contains the number 2021?

Question illustration
  1. 1st column
  2. 2nd column
  3. 3rd column
  4. 4th column

Question 5

The original cost of a teddy bear is 200 dollars. If the marked price is 240 dollars, what is the profit margin in percentage?

Question illustration
  1. 10%
  2. 11%
  3. 21%
  4. 20%

Question 6

Find 2.018×51+2.018×11+2.018×12+2.018×26.

Question illustration
  1. 2018
  2. 2.108
  3. 201.8
  4. 20.18

Question 7

Find (1−1/2²)(1−1/3²)(1−1/4²)...(1−1/2020²)(1−1/2021²).

Question illustration
  1. 1011/1010
  2. 1010/1011
  3. 1011/2021
  4. 2021/1011

Question 8

Find the value of 111× 111 .

Question illustration
  1. 12321
  2. 123321
  3. 1234321
  4. 1221

Question 9

Find the value of 4 + 16 + 64 + ... + 1024 + 4096 + 16384 .

Question illustration
  1. 21844
  2. 65532
  3. 21488
  4. 65523

Question 10

A, B, C and D are 4 distinct digits satisfying the vertical addition ACD + BA = D7C. Find A.

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

Question 11

Find the number of positive integers smaller than 1000 such that the sum of the first digit and the last digit is 10.

Question illustration
  1. 9
  2. 80
  3. 99
  4. 89

Question 12

Find the last digit of 2021²⁰²¹+2021.

Question illustration
  1. 0
  2. 1
  3. 3
  4. 2

Question 13

Given that 6▲9=4, 5▲7=9 and 4▲11=3. Compute [6▲(5▲7)]▲11.

Question illustration
  1. 4
  2. 11
  3. 9
  4. 3

Question 14

How many simplified fractions with denominator 170 are there?

Question illustration
  1. 70
  2. 60
  3. 64
  4. 75

Question 15

The digits of the three-digit number abc sum to 6. Reversing its digits gives another three-digit number cba with abc−cba=198. Find abc if b is nonzero.

Question illustration
  1. 240
  2. 321
  3. 312
  4. 402

Question 16

How many triangles are there in the following figure?

Question illustration
  1. 36
  2. 30
  3. 28
  4. 32

Question 17

The diagram shows a square whose vertices touch the sides of a regular pentagon. Each
vertex of the pentagon touches a side of a regular hexagon. Calculate a + b + c + d?

Question illustration
  1. 84
  2. 80
  3. 75
  4. 70

Question 18

Jane wants to know the volume of her ring by dropping the ring in a glass filled with water. The rectangular glass has a base 5 cm × 4 cm. It is filled 4 cm high with water. After dropping the ring into the glass, Jane measures the new height of the water to be 4.3 cm. What is the volume of the ring?

Question illustration
  1. 7cm3
  2. 6cm3
  3. 2cm3
  4. 5cm3

Question 19

A rectangle has perimeter of 50 and integral side lengths. Find its maximum area.

Question illustration
  1. 625
  2. 156
  3. 624
  4. 24

Question 20

Triangle PQR is isosceles with PR=QR, angle PRQ=90° and PQ=2 cm. Two arcs of radius 1 cm are drawn inside the triangle. One has centre P and intersects PR and PQ; the other has centre Q and intersects QR and PQ. What is the shaded area in cm²? (π=22/7.)

Question illustration
  1. 3/13
  2. 2/13
  3. 3/14
  4. 3/11