Fractions
Factors and Multiples
Logical Thinking
Puzzles
100
What type of fraction is 11/20?
15 seconds!
Proper
100
Find the lowest common multiple of 7 and 14.
15 seconds!
14
100
A worm crawls from A to B on the image. How many times does it turn left?
30 seconds!
4 times
100
A rat takes an hour and half to crawl clockwise around a certain maze.
When he crawls anti-clockwise around that same maze, it takes him only ninety minutes.
Why is this difference?
30 seconds!
There is no difference.
1 hour 30 minutes = 90 minutes
200
State two fractions equivalent to 4/15.
15 seconds!
8/30
12/45
etc.
200
State all the common factors of 24 and 48.
15 seconds!
1, 2, 3, 4, 6, 8, 12, 24
200
If 8 men can build a brick wall in one week, how many days will it take 4 men to build the same wall, working at the same rate?
30 seconds!
14 days
200
In a toy store, there are 4 dolls of different heights A, B, C, and D.
D is neither as tall as A nor as short as C.
B is shorter than D but taller than C.
If I want to purchase the tallest doll, which one should she purchase?
1 minute!
A
300
I have a six-sided die with the letters A, U, N, J, L, and Z, written on each face, respectively. Out of all the letters, what is the fraction of symmetrical letters on the die?
30 seconds!
⅓ or 2/6 or equivalent
300
State three multiples of 32.
15 seconds!
32
320
64
etc.
300
300 - I have made 5 different numbers using the digits 1, 2, 3, and 4. I have replaced each digit with the letters a, b, c, or d. The five numbers are:
1. abbac
2. cabdc
3. bccba
4. ddbab
5. cdabc
If number 2 is the largest, number 3 is the smallest, and the digits in number 5 add up to 14, which letter has replaced which digit?
1 minute!
a = 3, b = 1, c = 4, d = 2
300
What is the smallest number that increases by 12 when it is flipped and turned upside down?
30 seconds!
86
Flipped and turned upside down, 86 becomes 98.
98 = 86 + 12
400
Convert 5 27/42 into a improper fraction.
15 seconds!
237/42
400
15_7
State the smallest digit that can fill the blank and make the number divisible by 3. What is the final number?
15 seconds!
2
1527
400
If
9 = 10,
8 = 18,
7 = 24,
6 = 28,
5 = ?
1 minute!
30
400
If
3,6 = 27
5,8 = 39
1,7 = 48
then,
3,4 = ?
1 minute!
4
6 + 3 = 9
6 - 3 = 3
9 x 3 = 27
Alternatively, 62 - 32 = 27.
Use this relationship to solve.
500
Your friend had some cookies. He distributed them to you and your friend such that you received 2/5 the number of cookies that your friend did.
If the number of cookies he had was between 300 and 330, and he did not break any cookies while dividing them, find the possible numbers of cookies he could have had.
1 minute!
301, 308, 315, 322, 329
500
Is 531 a prime or composite number?
15 seconds!
Composite (531 = 59 x 9)
500
Without calculating the entire sum, what would be the last digit of 7 + 8 + 9 + … + 19 + 20 + 21?
1 minute!
4
500
Ben and Ted race each other in a 100-meter dash. Ben wins by 10 meters.
They decide to race again but to make things fair Ben starts 10 meters behind Ted.
If they both run exactly the same speed as before, who wins the race?
1 minute 30 seconds!
Ben will win again.
In the first race, Ben ran 100 meters in the time it took Ted to run 90.
Therefore in the second race, once Ted has run 90 meters they will both be side by side. Since Ben runs faster, he will take less time to run the last 10 meters than Ted and will therefore win.