SEAMO 2017 — Paper B — Grade 3–4

Find the missing number: $2,2,4,6,10,\square,26,\ldots$.

Cindy scores $97,99,96,93,95$ on five tests. Find her average score.

There are $15$ children at a party. Each boy gets $2$ balloons and each girl $3$. Altogether $37$ balloons are given out. How many boys are there?

Which figure best replaces the question mark?

How many triangles are in the figure?

The area of a square is side multiplied by side; for example, a square of side $3\text{ cm}$ has area $9\text{ cm}^2$. Find the area of square $ABCD$ if the shaded square has area $16\text{ cm}^2$.

The balances show one mango equals two apples, and three apples equal five peaches. How many peaches balance three mangoes?

Shawn is $9$ years old. His cousin says, “When you reach my age, I will be $35$ years old.” How old is his cousin now?

What number does $AB$ represent in the shape code?

Chandni and his sister start $250\text{ m}$ apart and walk towards each other at $25\text{ m/min}$ and $30\text{ m/min}$. How far apart are they after $4$ minutes?

Michelle asks her aunt’s age. Her aunt says, “When I was your age, you were only $3$. By the time you reach my age, I will be $39$.” How old is her aunt now?

A number leaves remainder $2$ when divided by $3$ and remainder $1$ when divided by $4$. What remainder does it leave when divided by $12$?

Balls $A,B,C$ have different weights. In Figure $3$, what must be added to the right-hand pan to balance the scale?

Two players start with $2017$ beads. Each turn removes between $1$ and $4$ beads. The player left with the last bead loses. How many beads should the first player remove initially to ensure a win?

Initially barrel $A$ contains twice as much milk as barrel $B$. After removing $20$ litres from each, $A$ contains three times as much as $B$. Find the initial amounts in $A$ and $B$, respectively.

The outer square has side $10\text{ cm}$. Rectangle $EFGH$ has area $8\text{ cm}^2$. Find the area of quadrilateral $ABCD$ in square centimetres.

Squares $ABCD$ and $DEFG$ have side lengths $5\text{ cm}$ and $3\text{ cm}$. Find the area of the shaded region $ACEF$.

Shi Ting’s mother gives her $8$ chocolate bars on days when she practises piano for $30$ minutes or more, and $5$ bars when she practises less than $30$ minutes. She practises on $18$ days and earns $123$ bars. On how many days did she not practise more than $30$ minutes?

In $2017$, $5$ August is a Saturday. On which day of the week is $1$ January $2018$?

A car travels from town $A$ to town $B$ at $90\text{ km/h}$ and returns at $60\text{ km/h}$. Find the average speed for the whole trip.