TIMO 2021 Grade 4 Preliminary Set 2

Each day, Tom’s chicken can lay 2 eggs. Given that he has 20 eggs right now, how many eggs will be there 11 days later?

If 19th February 2021 is Friday, which day of the week will 21st February 2022 be?

What is the 8th number in the sequence with pattern below? 2 , 5 , 10 , 17 , 26 , 37 , …

Four tables below have number filled according to the same pattern but some cells are

Find the missing number in the table below.

| First | Second | Third | Result |
|---:|---:|---:|---:|
| 2 | 5 | 1 | 11 |
| 3 | 6 | 2 | 20 |
| 4 | 7 | 3 | 31 |
| 5 | 8 | 4 | ? |

Find the value of 12×$16+8$×$17+24$×3.

Find the value of 115÷$17+128$÷$17-90$÷17.

Find the value of $5+10+15+20$ + … + $195+200$.

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

M A T $H+1$ 2 3 4
-------------
H K I M O

What is the value of K if the equation below is correct? $1+3+9+27$+...+$729=K$.

A is 5 times B and the sum of A and B is 240. Find the value of A.

How many 2-digit numbers divisible by 2 or 5 are there?

10-digit number 20212022AB is divisible by 45, find the smallest value of A.

Define the new operation symbol a⊗b=(2×b−a)×(a+b), find the value of 3⊗(5⊗3).

Wendy writes down a 2-digit number. Amy adds a digit “1” to the right of Wendy’s number and sees that the number increases 856. Find Wendy’s number.

Each cell in the grid below has side length 2. Find the area of the shaded region.

They want to paint all surface of the figure below. At least how many squares do they have to paint over?

A rectangle has perimeter 28cm. When its length increases 3cm, the area increases 18cm2. Find the area of the new rectangle in cm2.

How many rectangles containing both triangles are there in the figure below?

Eight identical rectangles with perimeter 36 each are combined to form a big square as follows. Find the perimeter of the square.