TIMO 2021 Grade 3 Heat Set 1

According to the pattern shown below, what is the number in the blank? 38, 35, 30, 23, 14, __

There are 27 transparent boxes, as shown in figure 1. Each layer contains 9 boxes as figure 2 showns. Some black marbles are inserted into the boxes and view from different directions, the images are shown in the diagram below. Find the number of black marbles inserted in these 27 boxes.

Today is Wednesday. Which day of the week was 25 days ago?

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

| First | Second | Third | Result |
|---:|---:|---:|---:|
| 1 | 3 | 5 | 20 |
| 2 | 4 | 7 | 42 |
| 3 | 5 | 9 | 72 |
| 4 | 6 | 11 | ? |

According to the pattern shown below, how many # are there in the 7th Group?

Find the value of $217+642+513+727+138+633$.

Find the value of the following operation: 128÷$2+128$÷$4+128$÷$8+128$÷$16-128$÷$32-128$÷$64-128$÷128.

Find the value of 27×$6+18$×$11-9$×$13-3$×6.

Find the value of $9+15+21+27+33+39+45+51+57$.

Find the value of 2×4×8×15×25×35.

Define a⊕b=(a−3)×(a+b)×(b−3). Find the value of (8⊕6).

Find the smallest 3-digit odd number that can both be divisible by 7 and 11.

Determine the result below is an odd or an even number. 111×($213+151$)+222×($132+157$)−333×($12+1$)+444×($112+334$)

Jacky has 24 eggs and Emma has 16 eggs. How many egg(s) does Emma have to give Jacky to make the number of eggs of Jacky’s is 3 times of that of Emma’s?

The product of positive integers A and B is 693. The difference between A and B is 12. Given A is smaller than B, find the value of A.

How many square(s) is / are there in the figure below?

A pyramid has 200 vertices, how many edge(s) does this pyramid have?

9 small squares whose perimeters are 36 each form a larger square. What is the perimeter of the larger square?

We place some identical cubes on top of each other. At least how many square(s) can be seen if observing the figure below from the right-hand side?

How many rectangle(s) is / are there in the figure below?