TIMO 2021 Grade 5 Preliminary Set 5

Given that A and B are two non-zero digits such that AB is divisible by 5 and also a square number. Find the 2-digit number AB .

Peter walks for 300m and his walking speed is 5 m/s. How many seconds are required to finish the walk?

John needs 21 days to finish a project. Mary needs 42 days to finish the same project. If John and Mary do the project together, how long do they need to finish it?

Ming’s grandmother’s age this year adds 4, multiples 2, minuses 56 and then divides by 9. The result will be 16 years old. How old is Ming’s grandmother this year?

A stationery store had a batch of ball pens. One half and 5 more pens were sold on the first day. One half of the remaining part and 8 more pens were sold on the second day. Finally, 24 ball pens are left. How many ball pens did the stationery store have initially?

Find the value of 121×111.

Find the value of 1×$2+2$×$3+3$×4+...+17×$18+18$×$19+19$×20.

Find the value of 1003×$1003-997$×997.

Find the value of 1/$2+1$/$4+1$/$8+1$/$16+1$/$32+1$/64.

Find the value of 2.01×$10+2$.01×$20+2$.01×$30+2$.01×40.

Define the operation symbol a⊗b=a×b+b+7; find the value of the operation 4⊗(2⊗3).

Find the number of factors for 143.

The sum of 5 consecutive numbers is 125. Find the middle number.

The sum of positive numbers A and B is 480. A is 5 times of B. Find the value of A.

How many 3-digit numbers divisible by 3 with unit digit 5 are there?

The volume of a cube is 27cm3. Find its surface area in cm2.

Given a rectangle with integral side lengths. Its perimeter is 100. What is the minimum value of its area?

A pyramid has 1002 vertices, how many faces does this pyramid have?

Find the area of the shaded region in the figure.

At most how many lines can be formed by using 18 points on a plane?