SIPG Maths Ambience Week

🔢Numbers

100

To two decimal places, 

what is the value of π  ?

3.14

200

Which is larger:

22/7 or  π?

22/7

(22/7 -it is approx 3.1428, while π is 3.1415.. )

300

Write 0.000314 

in standard form.

3.14 x 10^-4

400

Is π a rational or irrational number? 

Explain why.

Irrational;

It cannot be written as a simple fraction and its decimals never end or repeat.

500

Find the Lowest Common Multiple (LCM) of 3, 1, and 4.

12

🥧Algebra

100

3π + 4π - π

6π

200

2x + 3.14 = 7.14

x= 2

300

C = πd

rearrange the formula to make d the subject.

d = C/π 

400

Expand and simplify: 

3(x+π) - 2(x -π )

x + 5π 

500

Factorise completely: 

2πr² +2πrh

2πr(r+h)

📐Geometry

100

What is the mathematical name for the distance around the edge of a circle?

Circumference

200

If a circle has a radius of 5cm, what is its diameter?

10cm 

300

What is the formula for the area of a circle?

A= πr²

400

Calculate the circumference of a circle with a diameter of 10cm in terms of π.

10π cm

500

A cylinder has a radius of r and a height of h. 

What is the formula for its volume?

V = πr²h

🧠Mental Maths

100

Double 

3.14

6.28

200

What is 10% of 314?

31.4

300

If a pie is cut into 8 equal slices, 

what angle (in degrees) is at the center of each slice?

45^o

400

What is 0.5 times 0.5?

0.25

500

Square the number 12 and add 6.

150

🌍 Real Problems

100

A circular pizza has a diameter of 12 inches. 

What is its radius?

6 inches

200

You buy a "Pi Day" t-shirt for £15.99 and pay with a £20 note. 

How much change do you get?

£4.01

300

A unicycle wheel has a circumference of 2m. 

How many full rotations does it make to travel 31.4m?

15 full rotations 

(15.7, so 15 full rotations) 

400

A circular cake tin has a radius of 10cm. 

Using π≈ 3, estimate the area of the base of the tin.

300cm²

500

This famous physicist, known for the theory of relativity, was born on Pi Day (March 14th) in 1879.

Albert Einstein