VTMO 2017 — Grade 3 — final

Question 1

Evaluate $10-(9+8)+(8+7)-(7+6)+(6+5)-(5+4)+(4+3)-(3+2)+(2+1)$.

$1$
$2$
$10$
$11$
Another answer.

Question 2

An, Binh and Chau’s combined age is $24$. In how many years will their combined age be $30$?

$6$
$3$
$10$
$4$
$2$

Question 3

How many two-digit numbers have units digit at least as large as the tens digit?

$24$
$35$
$36$
$45$
$54$

Question 4

The digit sum of $2017$ is $2+0+1+7=10$. How many years from $2000$ through $2100$ have digit sum $10$?

$7$
$8$
$9$
$10$
$11$

Question 5

Two three-digit numbers differ by $217$. What is the greatest possible sum?

$1781$
$1757$
$782$
$770$
$1552$

Question 6

Observe the pattern in the figures below. Find $X$.

Question illustration

$12$
$24$
$36$
$48$
$60$

Question 7

Han has ten $1000$-dong notes, five $2000$-dong notes and two $5000$-dong notes. How many combinations of denominations can make $10000$ dong?

$11$
$7$
$8$
$10$
$9$

Question 8

A group of pupils stands in a line. Pi is at the middle of the line and also midway between An and Binh. An is third from the front, and Binh is eight positions behind An. How many pupils are there?

$10$
$11$
$12$
$13$
$14$

Question 9

In the pattern below, how many ★ shapes occur before the $21 st$ shape?

Question illustration

$12$
$15$
$16$
$17$
$20$

Question 10

Thanh has cardboard tiles made from four squares as shown. Which figure can be formed using these tiles without gaps or overlaps?

Question illustration