Shapes
Algebra and Patterns
Number
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100

A square has a perimeter of 12 cm. What is the side length of the square?

How much is 3cm?

100

If the symbol X represents the number 5, what is the value of X × X + X?

What is 30?

100

How many prime numbers are there between 6 and 30?

What are 7 integers?

100

The table shows the ages of all the children in the Gauss Choir. How many of the children are older than 7?

Age:      # of Children

6            8

7           10

8            7

9            2

What is 9?

100

What is the value of 1 + 2 + 3 + 4 + 5?

What is 15?

200

A triangular prism has exactly five faces and nine edges. How many vertices does a triangular prism have?

What is 6 vertices?

200

Consider the following flowchart. Rosa inputs a number and gets an output of 17. What number did she input?

Input---> X5 ---> -6 ---> ÷2 ---> Output 

What is 8?

200

When the numbers 3.1, 3.001, 3.0001, 3.01, and 3.0000001 are arranged from least to greatest, what is the middle number?

What is 3.001?

200

Replace N below with the number from $100

Pierre has two $1 coins, one $2 coin, two $5 bills, and four $10 bills. If he divides this money equally among N people, how many dollars does each person get?

What is 6?

200

Replace N below with the number from $100 category. A bowl contains apples, oranges, pears, and bananas. The table shows how many of each type of fruit are in the bowl.

Apples: 3

Oranges: 6

Pears: N

Bananas: 4

How many fruits in the bowl are NOT apples?

What is 25?

300

What do you call a 7 sided shape?

What is a Heptagon?

300

In the following list of numbers, the symbol X represents an unknown number.

3, X, 6, 5, 2, 9

If the median and mode of the list are equal, what is the unknown number?

What is 5?

300

Jeff can type 40 words per minute. How many minutes would it take to him to type a 5000 word essay?

What is 125 minutes?

300

Replace N below with the number from $200

The first term in a sequence is 5. The second term is 7. Each term after that is found by adding the two previous terms. So the third term would be 5 + 7 = 12. What is the Nth term in this sequence?

What is 50?

300

Replace N below with the number from $200.

How many of the following numbers are divisible by 5?

15, 92, 40, N, 105, 140, 19

What is 5?

400

Jonah’s favourite number is a positive integer. One day, he decided to write down all of the

positive integers starting at 1 and ending with his favourite number. He noticed, in doing so,

that he wrote the digit 7 exactly 30 times. What is Jonah’s favourite number?

What is 172?

400

Seth has seven potted plants on his windowsill, three of which have flowers. The plants are initially in the following order:

F, NF, F, NF, NF, NF, F

Seth rearranges the plants by swapping the positions of two adjacent plants. He does several swaps until the three flowering plants are next to each other. What is the fewest number of swaps that Seth could have done?

What is 4?

400

A sequence of six shapes repeats to form the following pattern:

Circle, Square, Pentagon, Star, Octogen, Triangle, Circle, Square, Pentagon, Star, Octogen, Triangle...

What is a circle?

400

Replace N below with the number from $300.

Zaida has 3 pieces of rope measuring 43 cm, 0.9 m, and N mm. What is the total length of her rope pieces, in cm?

What is 138?

400

Replace N below with the number from $300

An elevator started on floor N. It went up 2 floors, then down 1 floor, then down 3 more floors.

What floor did it end up on?

What is floor 3?