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Pi Day Contest HS

Total questions: 25

Worksheet time: 30mins

Name
Class
Date
1.

Mary is standing in a row. If she is 14th from the front and 11th from the back, how may people are standing in the row?

a)

25

b)

26

c)

24

d)

27

2.

What is the next term in this series? 1/3, 1/6, 1/10, 1/15, 1/21, 1/28, ...

(a)  

3.

John is Oksana's brother, Oksana is Dawid's sister, and Dawid is X's father. Who is X to John?

a)

Niece

b)

Mother

c)

Brother

d)

Sister

4.

Petr, Alexey, artem and Nina are playing cards. Petr and Alexey are partners. If Alexey is facing north, and artem is sitting on the right hand side of Alexey, which direction is Nina facing?

a)

West

b)

East

c)

North

d)

South

5.

If, 3 ♠ 9 = 144 and 1 ♠ 6 = 49, find the value of 4 ♠ 8.

(a)  

6.

Line A is parallel to line B. Line C is perpendicular to D. If line B is perpendicular to C, which of following is correct?

a)

A. A is parallel to D

b)

B. A is perpendicular to D

c)

C. B is perpendicular to D

d)

D. A is parallel to C

7.

In a ground, Jakub notices that there are 38 legs. How many people and dogs can be there in the ground?

a)

A. 8 people and 6 dogs

b)

B. 6 people and 6 dogs

c)

C. 7 people and 7 dogs

d)

D. 7 people and 6 dogs

8.

Which of the following letters has a vertical line of symmetry?

a)

A. Z

b)

B. S

c)

C. N

d)

D. I

9.

Calculate: 42÷2+5×14-2\div2+5\times-1

(a)  

10.

What is the sum angles of a triangle?


a)

90

b)

360

c)

180

d)

unknown

11.

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

a)

60

b)

72

c)

96

d)

84

12.

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?

4 lines
13.

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

4 lines
14.

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

4 lines
15.

Find missing number

4 lines
16.

Name the scientist who was born on π Day?

a)

Diophantus

b)

Archimedes

c)

 Einstein

d)

Euclid

17.

π is a mathematical constant that represents the ratio of what to what in a circle?

a)

Area to radius

b)

Diameter to radius

c)

Circumference to diameter

d)

Radius to height

18.

Who is credited with the first calculation of π?

a)

Isaac Newton

b)

Archimedes

c)

Pythagoras

d)

Albert Einstein

19.

Work out x

a)

25

b)

5

c)

7

d)

10

20.

How many numbers, which are only allowed to contain the digits 1, 2 or 3 are bigger than 10 and smaller than 32? The digits can be used more than once in the numbers

a)

2

b)

4

c)

6

d)

7

21.

For the linear function f, the table shows three values of x and their corresponding values of f(x). Which equation defines f(x)?

a)

f(x) = 3x + 29

b)

f (x) = 29x + 32

c)

f(x) = 35x + 29

d)

f (x) = 32x + 35

22.

What is an equation of the graph shown?

a)

y = −2x − 8

b)

y = x - 8

c)

y = -x - 8

d)

y = 2x-8

23.

The solution to the given system of equations is (x, y). What is the value of y ?

4 lines
24.

A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? (1 mile = 1,760 yards)

a)

0.3

b)

2.9

c)

3344

d)

6864

25.

In the figure, lines m and n are parallel. If x = 6k + 13 and y = 8k − 29, what is the value of z ?

a)

3

b)

21

c)

41

d)

139