1
Number bonds
easy
Look at the picture.
9 splits into 2 and ?.
What is the missing number in the box?
2
Counting
easy
How many apples are there altogether?
Answer: 42
Left group: 5+5+5+4+3+2 = 24.
Right group: 5+5+5+2+1 = 18.
Total = 24 + 18 = 42.
3
Counting / addition
easy
There are 6 oranges in a basket.
Miss Lim buys 2 more bags of oranges as shown below.
How many oranges are there altogether?
Answer: 20
Each bag has 7 oranges.
6 + 7 + 7 = 20.
4
Money
easy
Look at the table below.
Compare the amount of money between Set A and Set B.
What is the total amount of money in the set that has more money?
Give your answer in cents.
Answer: 135
Set A: 50+20+10+5+5 = 90 cents.
Set B: 50+50+20+10+5 = 135 cents.
Set B has more money: 135 cents.
5
Multiplication
easy
There are 4 red pens and 3 blue pens in 1 box.
How many pens are there in 3 such boxes?
Answer: 21
4 + 3 = 7 pens in 1 box.
7 x 3 = 21 pens.
6
Division
easy
Mrs Lee put the watermelons equally into bags of 2.
How many bags of watermelons are there?
Answer: 7
Total watermelon slices: 5+5+4 = 14.
14 / 2 = 7 bags.
7
Multiplication
easy
There are 8 groups of students in Primary 1 Joy class.
Miss Ellen puts exactly 3 students in each group.
How many students are there in Primary 1 Joy altogether?
Answer: 24
8 x 3 = 24 students.
8
Logical reasoning
medium
Ron and Mike have 12 marbles altogether.
Each of them has more than 4 marbles.
Ron has fewer marbles than Mike.
How many marbles does Mike have?
Answer: 7
Since each has more than 4 and they total 12, the only split with both more than 4 is 5 and 7.
Ron has fewer, so Ron = 5 and Mike = 7.
9
Perimeter / patterns
medium
Andy placed 2 bottles on one side of a square as shown below.
How many bottles does Andy need to go round 3 squares?
Answer: 24
1 square has 4 sides, 2 bottles per side = 8 bottles per square.
3 squares need 8 x 3 = 24 bottles.
10
Picture graphs
medium
The graph below shows the favourite places liked by the pupils in a Primary One class.
Each star stands for 2 pupils.
How many pupils chose the 3 most favourite places in total?
Answer: 30
Zoo = 8 stars = 16 pupils.
Bird Park = 4 stars = 8 pupils.
Aquarium = 3 stars = 6 pupils.
Museum = 2 stars = 4 pupils (not in the top 3).
Top 3: 16 + 8 + 6 = 30 pupils.
11
Time
easy
Jason looked at the clock below.
He realised that the clock was 2 hours slower than the actual time.
What was the actual time?
Answer: 9
The clock shows 7 o'clock.
7 + 2 = 9 o'clock.
12
Money
medium
Look at the pictures below.
Mr Chan has $50.
He wants to buy a doll and 2 teddy bears.
How much more money does he need to buy the three items?
Answer: 19
Doll $39 + 2 teddy bears (2 x $15 = $30) = $69.
$69 - $50 = $19 more needed.
13
Geometry
hard
Look at the figure below.
How many circles can be made from all the semicircles and quarter-circles in the figure?
Answer: 3
Every 2 semicircles join to make 1 circle, and every 4 quarter-circles join to make 1 circle.
Counting all the semicircles and quarter-circles in the figure and grouping them this way gives exactly 3 full circles.
14
Geometry
easy
Look at the picture.
How many circles and triangles are there altogether?
Answer: 8
Circles: 3 wheels, each with an outer and inner circle = 6 circles.
Triangles: the chimney top and the front cow-catcher = 2 triangles.
6 + 2 = 8.
15
Money
medium
Karen: "I have $26."
Leon: "We have $99 altogether."
How much more money does Karen have than Leon?
Answer: 47
Leon has 99 - 26 = $73.
Difference between the two amounts: $73 - $26 = $47.
16
Time
easy
Cindy bakes cookies from 2.45 p.m. to 3.15 p.m.
How many minutes does she take to bake the cookies?
Answer: 30
From 2.45 p.m. to 3.15 p.m. is 30 minutes.
17
Addition
easy
Samuel folded 19 paper aeroplanes.
His brother folded 17 more paper aeroplanes than him.
How many paper aeroplanes did his brother fold?
18
Money
easy
Linda has $70.
Mandy has 5 five-dollar notes.
How much money do they have altogether?
Answer: 95
Mandy has 5 x $5 = $25.
$70 + $25 = $95.
19
Number patterns
hard
Study the pattern below.
What is the missing number in the box?
Row 1: 1, 4, 7, 10
Row 2: 22, 19, 16, 13
Row 3: 25, ?, ..., ...
Row 4: 46, ..., ..., ...
Answer: 28
Each column's values follow a repeating pattern of differences (21, 3, 21, 3, ...).
Column 2: 4, 19, 28, 43 -> the missing number after 19 is 4+3=... following the row pattern (25,28,31,34 for row 3), the 2nd entry of row 3 is 28.
20
Combinations
medium
Tammy has to choose one after school activity in each term.
The table below shows the activities available for Term 3 and Term 4.
There are 3 activities for Term 3 and 2 activities for Term 4.
How many sets of choices can Tammy choose for the two terms?
Answer: 6
3 x 2 = 6 sets of choices.
21
Multiplication
medium
For every 10 apples bought, 2 free apples were given.
Mrs Lee bought some boxes of apples and received 6 free apples.
How many apples did she have altogether?
Answer: 36
6 free apples means 6 / 2 = 3 boxes were bought.
3 boxes x 10 = 30 apples bought.
30 + 6 free = 36 apples altogether.
22
Logical reasoning
hard
Joseph used a calculator to find the answer for 45 + 36 + 7.
The answer shown on the calculator was 48.
However, his friend pointed out that the answer was incorrect because one of the number buttons was not working.
Which number button on the calculator was not working?
Answer: 4
The correct answer is 45 + 36 + 7 = 88.
If the '4' button did not register, 45 would be typed as 5, giving 5 + 36 + 7 = 48, which matches the wrong answer shown.
So the '4' button was not working.
23
Subtraction
medium
Bernard collected 86 marbles.
He gave 49 marbles to his brother and lost some of his marbles.
The rest of his marbles were kept in the bottle as shown below.
How many marbles did Bernard lose?
Answer: 29
86 - 49 = 37 marbles left after giving to his brother.
The bottle has 8 marbles.
37 - 8 = 29 marbles lost.
24
Addition
medium
Linette had some toys.
She gave away 18 toys and threw away 15 of them.
She had 28 toys left.
How many toys did Linette have at first?
Answer: 61
18 + 15 + 28 = 61 toys.
25
Division
easy
Mdm Fatimah bought 3 bags of cookies.
There were 8 cookies in each bag.
She repacked all the cookies into smaller packs of 4 each.
How many packs of 4 cookies did Mdm Fatimah have?
Answer: 6
3 x 8 = 24 cookies.
24 / 4 = 6 packs.
26
Money
medium
Siti wants to exchange her $50 note into $5 and $10.
She will get four $5 notes and some $10 notes.
How many $10 notes will Siti get?
Answer: 3
Four $5 notes = $20.
$50 - $20 = $30 left.
$30 / $10 = 3 notes.
27
Number patterns
medium
Raja used 2 slices of bread and 1 slice of ham to make a sandwich.
The table below shows the number of sandwiches, slices of bread and slices of ham used.
What was the total number of slices of bread and ham Raja used to make 4 sandwiches?
Answer: 12
4 sandwiches need 4 x 2 = 8 slices of bread and 4 x 1 = 4 slices of ham.
8 + 4 = 12 slices.
28
Ratio
hard
Look at the picture given below.
Sandy has 5 such identical pencils.
The length of 5 such pencils is as long as ? erasers.
What is the missing number in the box?
Answer: 15
From the picture, 1 pencil is as long as 6 paper clips, and 1 eraser is as long as 2 paper clips.
So 1 pencil = 3 erasers (6 / 2).
5 pencils = 5 x 3 = 15 erasers.
29
Number properties
medium
Kenneth is writing a number on a piece of paper.
It is a 2-digit number that is greater than 31 but smaller than 40.
When the two digits are added together, the answer is 9.
What number is Kenneth writing?
Answer: 36
The number is between 31 and 40, so the tens digit is 3.
3 + ones digit = 9, so ones digit = 6.
The number is 36.
30
Algebra
hard
There are 6 boys and girls altogether.
Each boy gets 3 sweets.
Each girl gets 2 sweets.
All the children share a total of 16 sweets.
How many boys are there?
Answer: 4
Let boys = b, girls = g.
b + g = 6 and 3b + 2g = 16.
From the first equation, g = 6 - b.
3b + 2(6-b) = 16 -> b + 12 = 16 -> b = 4.
31
Money
hard
The picture below shows a menu of a Pizza restaurant.
Mr Lee ordered the most expensive pasta.
Mrs Lee ordered the cheapest pizza.
Both of them ordered non-juice drink each.
The restaurant charged them $2 for the service charge.
How much did they pay in total?
Answer: 27
Most expensive pasta: Mushroom $9.
Cheapest pizza: Vegetarian $10.
2 non-juice drinks (Iced Mocha/Iced Tea at $3 each) = $6.
Total: 9 + 10 + 6 + 2 (service charge) = $27.
32
Addition
easy
Brandon had 19 rubber bands.
He had 7 fewer rubber bands than James.
How many rubber bands did they have altogether?
Answer: 45
James = 19 + 7 = 26 rubber bands.
19 + 26 = 45 rubber bands altogether.
33
Algebra
medium
Look at the equations.
4 leaves = 20.
3 ice-creams = 12.
What is 1 leaf + 2 ice-creams?
Answer: 13
1 leaf = 20 / 4 = 5.
1 ice-cream = 12 / 3 = 4.
1 leaf + 2 ice-creams = 5 + (2 x 4) = 5 + 8 = 13.
34
Number properties
medium
Johnny has a book that contains 40 pages.
How many times will digit '2' appear at least once on all the pages?
Answer: 14
Digit 2 in the ones place: 2, 12, 22, 32 (4 times).
Digit 2 in the tens place: 20-29 (10 times).
Total = 4 + 10 = 14.
35
Addition
medium
Emma baked 12 more pies than Danielle.
Florence baked 4 fewer pies than Danielle.
Danielle baked 12 pies.
How many pies did the 3 girls bake altogether?
Answer: 44
Danielle = 12.
Emma = 12 + 12 = 24.
Florence = 12 - 4 = 8.
Total = 12 + 24 + 8 = 44.
36
Division
hard
Daniel bought 12 lollipops.
He bought twice as many lollipops as Adrian.
Both of them shared their lollipops equally with John.
How many lollipops did John receive?
Answer: 9
Adrian bought 12 / 2 = 6 lollipops.
Daniel shared his 12 equally with John: 12 / 2 = 6 each, so John gets 6.
Adrian shared his 6 equally with John: 6 / 2 = 3 each, so John gets 3.
John received 6 + 3 = 9 lollipops altogether.
37
Algebra
hard
Look at the equations below.
3 candles + 1 cupcake = 60.
1 cake + 1 cupcake = 65.
1 cake = 20.
What is 1 candle?
Answer: 5
1 cake = 20, so 1 cupcake = 65 - 20 = 45.
3 candles = 60 - 45 = 15.
1 candle = 15 / 3 = 5.
38
Number properties
medium
Leonard baked more than 20 but less than 30 pies.
He could put them on trays of 3 or on trays of 4.
How many pies did Leonard bake?
Answer: 24
The number must be divisible by both 3 and 4, so it is divisible by 12.
Between 20 and 30, the only multiple of 12 is 24.
39
Age problems
medium
Annie was 15 years old 3 years ago.
Margaret is 4 years older than Annie.
How old will Margaret be 7 years later?
Answer: 29
Annie is now 15 + 3 = 18.
Margaret is 18 + 4 = 22.
7 years later, Margaret will be 22 + 7 = 29.
40
Money
hard
Look at the following fruits and their price tags.
Mr Tan had some money.
He would need another $4 if he wanted to buy a mango and a bunch of grapes.
In the end, he bought a watermelon and a mango.
How much money did he have left?
Answer: 3
Mango + grapes = $7 + $22 = $29.
He needed $4 more, so he had 29 - 4 = $25.
Watermelon + mango = $15 + $7 = $22.
Money left = 25 - 22 = $3.