HKIMO 2017 Grade 3 National Final (Heat) Set 04

According to the pattern, what number fills the blank? $1,2,3,6,11,20,\underline{\phantom{00}},\ldots$

Yesterday was Tuesday. What day of the week will it be 124 days later?

Sammy's age 3 years later equals Joseph's age 6 years ago. How old is Sammy when Joseph is 18?

A tree is planted every 25 m along a street from one end. There are 15 trees. How long is the street in metres?

Editorial endpoint convention: the 15 trees include both ends of the measured street segment; its length is the span from the first tree to the last. The source does not explicitly specify the far endpoint.

According to the pattern, how many ⊗ symbols are in the 9th group?

Find $11+24+17+26+29+13$.

Find $17\times44+56\times17$.

Find $2\times4\times8\times625\div25$.

Find $1-2+3-4+5-6+7-8+9-10+11-12+13$.

Find $2023\div7+777\div7$.

Define $a\oplus b=b\times a+a-b-3$. Find $8\oplus13$.

Amy and John have 125 peanuts in total. John has 37 more than Amy. How many does Amy have?

The arithmetic sequence is $14,19,24,29,34,\ldots$. Find the sum of its 10th and 13th terms.

What is the difference between the largest and smallest 3-digit multiples of 12?

Three consecutive even numbers have sum 30. Find their product.

How many squares are in the figure?

A pyramid has 34 vertices. How many faces does it have?

A square of side 24 cm is cut into 4 squares of side 12 cm. What is the difference between the large perimeter and the sum of all 4 small perimeters?

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

At least how many pieces can be obtained by cutting a cake 4 times?

Editorial cutting convention: use four effective straight cuts through an unstacked cake, leaving the pieces in place. Each cut splits at least one existing piece and does not merely retrace an old cut. The source leaves these cutting conditions unstated.