TIMO 2021 Grade 6 Preliminary Set 1

According to the pattern shown below, how many circles are there in the 9th group?

Given that today is Sunday 1st November 2020. Which day of the week will it be 1 year
from now?

Along a road 180 meters long, 10 trees are planted at equal distance and one tree being at
each end of the road. If the road is 360 meters long, how many trees are planted along
the road?

What is the value of the number to represent “?” in the following table?

Alice goes west for 5km, then goes north for 14km and finally goes south for 2km. How
far is she now from the original position in km?

Find the value of 240:1 + 240:2 + 240:3 + 240:6 .

Find the value of 25 × 44 ×18 .

Find the value of 25 + 29 + 33 + ... + 101 + 105 .

Find the value of 33 ×15 + 44 ×12 + 77 .

Find the value of 3/(1×2) + 3/(2×3) + 3/(3×4) + ... + 3/(49×50) + 3/(50×51).

If a 6-digit number 45233B is divisible by 6, find the value of B.

Find the units digit of A given A = 1×2×3×...×17×18×19.

How many three-digit even numbers that can be divisible by 5?

The product of two natural numbers A and B is 75. A is 3 times of B. Find the sum of A
and B.

What is the difference of the largest 3-digit number divisible by 2 and the smallest 2-digit
number divisible by 9?

How many triangles are there in the figure below?

Andy stacks identical cubes on top of each other to get the tower in figure 1. At least how
many cubes does Andy use given that its top view looks like figure 2?

4 identical rectangles with area of 24cm2 each are combined to form a big square and a
small square as follows. Find the perimeter of the big square, given that the perimeter of
the smaller square is 20cm.

Find the sum of all interior angles in the pentagon below?

A farmer has a square garden. He expanded the garden 3 meter in each direction as
follows and found that the expanded area is 84m2. Find the area of the garden originally.