TIMO 2026 Grade 4 Preliminary Set 1 - Self-study

Five years ago, the sum of ages of David and his mother was 42. His mother is 26 years older than David. How old is David now?

In a line of students, Amy is 14th from the front and 18th from the back. How many students are there in the line?

Find the next number in the pattern:

$3, 7, 15, 31, 63, \ldots$

Today is Tuesday. What day of the week will it be 100 days from today?

A farm has chickens and rabbits. There are 35 heads and 94 legs in total. How many rabbits are there?

Calculate: $245+378+755+622$

Find the sum: $4+9+14+19+\cdots+99$

A number is multiplied by 5, then 24 is added, and finally divided by 4 to get 21. What is the original number?

In the addition $\overline{3A6}+\overline{4B8}=824$, find the value of $A+B$.

When a number is divided by 12, the quotient is 15 and the remainder is 8. What is the number?

The sum of 5 consecutive odd numbers is 105. What is the largest number?

Find the digit $X$ such that the 5-digit number $\overline{32X54}$ is divisible by 9.

If $a\odot b=a\times a-b\times b$, evaluate $12\odot8$.

Find the units digit of $2\times12\times22\times32\times42\times52$.

How many 3-digit numbers are divisible by both 4 and 6?

How many rectangles in the figure below?

A square has a perimeter of 48 cm. A rectangle has the same area as this square and its width is 9 cm. What is the length of the rectangle?

The length of a rectangle is 3 times its width. If the perimeter is 64 cm, find the area of the rectangle in cm².

A solid cube with side 5 cm is painted red on all outer surfaces and then cut into unit cubes of side 1 cm. How many unit cubes have exactly 2 painted faces?

A rectangular field is 24 m long and 16 m wide. If both length and width are increased by 2 m, by how much does the area increase in m²?