SEAMO 2018 — Paper B — Grade 3–4

Question 1

Find the next number: $5611,111223,232447,\ldots$.

$232495$
$464793$
$474895$
$474896$
None of the above

Question 2

Find the perimeter of the stepped figure.

Question illustration

$38$
$42$
$44$
$46$
None of the above

Question 3

Six footballs and three basketballs cost $279$ dollars. Two footballs and three basketballs cost $139$ dollars. Find the price of a football and a basketball, respectively.

$35$ and $21$ dollars
$35$ and $23$ dollars
$40$ and $21$ dollars
$40$ and $23$ dollars
None of the above

Question 4

How many unit cubes are in the figure?

Question illustration

$20$
$22$
$23$
$24$
$25$

Question 5

Each letter represents a different digit. The additions are $\overline{ABCD}+\overline{EFG}=9063$ and $\overline{ABC}+\overline{DEFG}=2529$. Find $\overline{ABCD}$.

Question illustration

$8370$
$9464$
$8371$
$9465$
None of the above

Question 6

Pine trees are planted every $16\text{ m}$ along a straight road of length $960\text{ m}$, including both ends. How many trees are there?

$56$
$58$
$59$
$60$
$61$

Question 7

Fill the circles with $1,2,\ldots,9$, each once, so that both straight lines have the same sum $S$. The central number is $5$. Find $S$.

Question illustration

$25$
$26$
$22$
$34$
None of the above

Question 8

At a party, each of $14$ children shakes hands with every other child exactly once. How many handshakes occur?

$75$
$85$
$87$
$89$
$91$

Question 9

When $925$ is divided by $m$, the quotient is $35$ and the remainder is $15$. Find $m$.

$23$
$25$
$26$
$27$
None of the above

Question 10

A bag has $15$ red, $20$ white, $25$ black and $40$ yellow balls. Without looking and without replacement, how many must be drawn to guarantee at least $4$ balls of different colours?

$86$
$76$
$75$
$66$
$67$

Question 11

Find the missing number in the number puzzle.

Question illustration

$5$
$7$
$4$
$8$
None of the above

Question 12

Peter has $100$ chickens and rabbits in total, with $260$ legs altogether. How many chickens does he have?

$40$
$50$
$60$
$70$
$80$

Question 13

Teacher Ali gives each student $4$ sweets and has $4$ left. If he gives each $5$ sweets, he is $7$ short. How many sweets does he have?

$45$
$46$
$47$
$48$
None of the above

Question 14

A mathematics test has $15$ questions. Correct answers earn $8$ marks and wrong answers lose $4$ marks. John scores $72$. How many does he answer wrongly?

Question 15

Cindy’s father is “$4$ times older than her”. Three years ago their ages totalled $49$. How old are Cindy and her father now, respectively?

$10$ and $45$
$11$ and $44$
$12$ and $46$
$9$ and $36$
None of the above

Question 16

Mark gives Shaun $10$ less than half his stamps. Then he gives Cindy $6$ more than half the remainder. Finally he gives his cousin $30$ stamps and has $40$ left. How many stamps did he have at first?

$284$
$304$
$322$
$354$
None of the above

Question 17

A rectangle of length $36\text{ cm}$ contains two shaded regions and seven identical small rectangles as shown. Find the area of one small rectangle.

Question illustration

$98$
$120$
$144$
$156$
None of the above

Question 18

Train $A$ leaves town $X$ for $Y$ at $60\text{ km/h}$. One hour later, train $B$ leaves $X$ for $Y$ at $75\text{ km/h}$. How long does $B$ take to catch $A$, measured from $B$’s departure?

$2$ h $30$ min
$3$ h
$3$ h $30$ min
$3$ h $45$ min
$4$ h

Question 19

The top layer of the triangular arrangement has $60$ circles. How many circles are there altogether?

Question illustration

$1750$
$1780$
$1830$
$1880$
None of the above

Question 20

Square $ABCD$ has side $10\text{ cm}$. The shaded rectangle has area $6\text{ cm}^2$. Find the area of $EFGH$.

Question illustration

$49\text{ cm}^2$
$51\text{ cm}^2$
$62\text{ cm}^2$
$53\text{ cm}^2$
$58\text{ cm}^2$