Pi Day Math Contest MS

What is the next number in the sequence?
3, 6, 12, 24, 48, ___

• 60

• 72

• 96

• 84

Find the missing number:
2, 5, 10, 17, 26, ___, 50

• 36

• 37

• 38

• 39

A staircase has steps arranged as follows:
Step 1: 1 block
Step 2: 3 blocks
Step 3: 6 blocks
Step 4: 10 blocks
How many blocks are needed for Step 7?

• 21

• 24

• 28

• 36

I am a two-digit number. My tens digit is twice my ones digit. I am also an even number. What number am I?

• 12

• 24

• 36

• 48

A farmer has 17 sheep. All but 9 run away. How many are left?

• 8

• 9

• 17

• 0

A father is 40 years old, and his son is 10 years old. How many years will it take for the father’s age to be exactly twice his son's age?

• 5 years

• 10 years

• 15 years

• 20 years

1.     I’ve forgotten my PIN. Six incorrect attempts locks my account: I’ve used five! Two digits are displayed after each unsuccessful attempt: “2, 0” means 2 digits from that guess are in the PIN, but 0 are in the right place. No two digits in my PIN are the same.

What should my sixth attempt be?

Answer explanation

6347

5 people give each other a present. How many presents are given altogether?

Answer explanation

20

Look at the matchsticks arranged below. How many equilateral triangles are there?

Answer explanation

13

15 people meet; each shakes everyone else’s hand once. How many handshakes take place?

Answer explanation

10