HKIMO 2018 Grade 3 National Final (Heat) Set 03

According to the pattern, what number fills the blank? $1,1,3,5,9,15,\underline{\phantom{00}},\ldots$

Yesterday was Thursday. What day of the week will it be 87 days later?

Alice's age 11 years later equals Peter's age 5 years later. How old is Peter when Alice is 18?

37 students stand in a line. Alice is 18th from the front. How many students are behind her?

According to the pattern, how many ◎ symbols are in the 6th group?

Find $179+219+121+181+281+119$.

Find $17\times118+31\times17+17\times51$.

Find $500\div2+500\div4+500\div5+500\div10+500\div50$.

Find $5+15+25+35+45+55$.

Find $1017\div8-129\div8$.

Define $a\otimes b=(a+2)\times(b-3)$. Find $2\otimes5$.

Alice and Peter have 164 candies in total. Alice has 24 more than Peter. How many candies does Alice have?

The arithmetic sequence is $8,14,20,26,32,\ldots$. Find the sum of its 7th and 9th terms.

What is the sum of the largest and smallest 3-digit multiples of 13?

Three consecutive odd numbers have sum 27. Find their product.

How many squares are in the figure?

A prism has 36 edges. How many faces does it have?

A square of side 10 cm is cut into 25 squares of side 2 cm. What is the difference between the large perimeter and the sum of all 25 small perimeters?

At least how many squares can be seen when viewing this figure from the right?

Following the pattern, what figure replaces the question mark?