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Mystery Number
Pattern
Logic
Make Numbers
Teacher Trivia
10

I am a three-digit number. My tens digit is five more than my ones digit. My hundreds digit is eight less than my tens digit. The sum of my digits is 14.

194

10

What is the next number in the pattern?
2, 5, 10, 17, 26, ___

37

n2+1 pattern

10

Two fathers and two sons go fishing. They catch 3 fish, and each person gets exactly one fish. How is this possible?

There are only 3 people: a grandfather, a father, and a son.

10

Use: 1, 2, 3, 5, 8
Make: 160

8×5×(3+2−1)=40×4=160

10

Cat’s name = kit kat

Ms. Thompkins

20

I am a three-digit number. The sum of my digits is 12. My hundreds digit is three times bigger than my ones digit. My tens digit is 2 more than my ones digit.

642

20

What is the missing number?
4, 9, 19, 39, ___, 159

79

Each term is ×2+1

20

A snail climbs 5 m each day and slips 4 m each night. The well is 20 m deep. How many days does it take the snail to escape?

16

20

Use: 1, 2, 3, 4, 6

Make: 144

6×4×(3+2+1)=24×6=144

20

My favourite basketball team is the Portland Trail Blazers.

Mr. Williams

30

I am a three-digit number. The sum of my digits is 15. My hundreds digit is 4 more than my ones digit. My tens digit is the average of the other two digits.

753

30

Find the next number in the pattern:
3, 8, 18, 38, 78, ___

158

Each term is ×2 + 2

30

Three students (Ava, Ben, and Cara) each bring a different snack: chips, cookies, or fruit.

  • Ava does not bring chips.
  • Ben does not bring fruit.
  • Cara does not bring cookies.
  • Ava → Cookies
  • Ben → Chips
  • Cara → Fruit
30

Use: 1, 3, 4, 6, 7

Make: 49

7×3+(1+6)×4=49

30

I Had a Pet Pig

Ms. Sun

40

I am a three-digit number. Reversing my digits increases my value by 594.The sum of my digits is 12.

147

40

1, 1, 2, 4, 8, ___

16

Start at 1, then each term is the sum of all previous terms.

40

You have 8 identical-looking balls. One is heavier than the others. Using a balance scale, what is the fewest number of weighings needed to guarantee finding the heavier ball?

2 weighings

Weigh 3 vs 3.

If equal, the heavy ball is among the remaining 2.

If not equal, the heavy ball is in the heavier group of 3.

One more weighing identifies the heavy ball.

40
Use: 2, 4, 5, 7, 8

Make: 50

(7+8)×4−5×2=50

40

I'm a really good bowler (was on a team)

Ms. Acheson

50

I am a three-digit number. My digits add to 15. Reversing my digits increases my value by 594. My tens digit is the average of the other two digits.

258

50

2, 6, 15, 31, 56, ___

92

  • 6 − 2 = 4
  • 15 − 6 = 9
  • 31 − 15 = 16
  • 56 − 31 = 25

So the differences are:
4, 9, 16, 25 → perfect squaresv

50

Five students (A, B, C, D, E) each present a project on different days from Monday to Friday.

  • A does not present on Monday or Friday.
  • B presents the day after C.
  • D presents before E, but not immediately before.
  • C does not present on Tuesday.
  • Monday: D
  • Tuesday: A
  • Wednesday: C
  • Thursday: B
  • Friday: E

Reason: C cannot be on Tuesday, and once C is placed on Wednesday, B must be on Thursday. This forces A to Tuesday (since A cannot be Monday or Friday), leaving Monday and Friday for D and E. Since D must be before E but not immediately before, D is Monday and E is Friday.

50

Use: 3, 4, 6, 7, 9

Make: −23

3−4×6+7−9=−23

50

I had a large metal trashcan dropped on my head in the bathroom 5 minutes before my grade 11 math summative.

Mr. Slade