Question bank HKIMO 2017

If the day before yesterday was Tuesday, which day of the week will it be 4 days from today?

Seventeen children form a column. There are 9 people in front of Amy. What is Amy’s position counting from the back?

According to the pattern shown below, what number belongs in the blank?

2, 6, 12, 20, 30, 42, __, …

John travels to school by bus. Each bus fare is 5 dollars. How much does he pay in a week for going to school and back home by bus? He goes to school each morning and home each afternoon, Monday to Friday.

According to the pattern shown below, how many circled-cross symbols (⊗) are there in the 13th group?

Find the value of $3+13+23+33+7+17+27+37$.

Find the value of $45÷6+27÷6$.

Find the value of $1+4+7+10+13+16+19−18−15−12−9−6−3$.

What number should fill the blank to make the equation correct?

$\square ÷7=14$

A and B are different 1-digit numbers. What is B if the equation below is correct?

Amy has 28 apples and John has 82 apples. How many apples must John give Amy so they have the same number?

Four children have an odd total number of balloons. Two children each have an odd number, and one child has an even number. Does the remaining child have an odd or even number?

The numbers below form an arithmetic sequence. What is the 13th number?

123, 120, 117, 114, 111, …

How many 2-digit numbers have a units digit smaller than 2?

Fill the lines with + and × to make the equation correct. Write the complete equation.

1 __ 1 __ 2 __ 3 __ 4 = 12

How many squares are there in the figure below?

A prism has 12 edges. How many vertices does it have?

According to the pattern shown below, what figure belongs in the blank?

At least how many squares can be seen when viewing the figure below from the top?

At most how many lines can be formed using 4 points in a plane? The source vocabulary gloss calls them line segments.