TIMO 2020 Grade 2 Heat Set 2

Alice wrote a 2-digit number on a piece of paper and asked Bobby to guess it. Bobby asked: “Is the number 68?” Alice replied: “One of the digits is correct, the position of that digit is wrong.” Bobby asked again: “Is the number 17?” Alice replied: “One of the digits is correct, the position of that digit is wrong.” Bobby asked again: “Is the number 79?” Alice said: “One of the digits is correct, the position of that digit is correct.” What is the number written by Alice?

When Bruce was born, mum was 29 years old. When Bruce will be 28 years old, how old will mum be?

According to the pattern shown below, what is the number in the blank? 12, 15, 21, 30, 42, 57, __

According to the pattern below, what is the English letter in the space? P, M, J, G, __

According to the pattern below, how many ※ is / are there in the 7th Group?

Find the value of $37+13-68-13+51$.

Find the value of $24+62+16+29+8$.

Find the value of 1×$113+2$×$113+3$×$113+4$×113.

If A and B are both 1-digit number, find the value of B. AA + AB = 72

What is the number in the blank if the equation below is correct? ____ ÷ $2+9=19$

How many 2-digit even number(s) that is / are multiples of 3 is / are there?

Fill the lines with ‘+’ and ‘−’ to make the equation below correct. (Write down the complete equation on the answer sheet.) 15 __ 8 __ 6 __ $1=16$

Fill the lines with ‘×’ and ‘+’ to make the equation below correct. (Write down the complete equation on the answer sheet.) 6 __ 4 __ 3 __ $2=29$

If A is odd number, the result of A×($A+1$)×($A+2$) is odd or even?

If A and B are both 1-digit numbers and C ≠ 0, find the value of $A+B$. BA + AB = C87

According to the pattern below, what is the figure in the space (“__”)? ●, ▲, ●, □, ●, ▲, ●, □, ●, ▲, ●, __, ●, ▲, ●, □, …

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

The lengths of two sides for a triangle are 6cm and 10cm respectively and all length are integers. Find the maximum length of the other length.

At least how many squares can be seen if viewing the figure below from side?

At most how many pieces can be formed by using 4 lines to cut a circle?