Math Jeopardy 2

Algebra Manipulations

100

Express 27 in index form, 3ⁿ, where n is a positive integer. 

3³

200

Express 0.000453 in standard form 

4.53 x 10⁴

300

Simplify
(3x+1)(x-4)

3x²-11x-4

400

Expand (2x+3)²

4x² + 12x + 9

500

The total cost of 5 identical chairs is $(7y+4). 

Find the total cost of 4 such chairs.

$(28y+16)

Factorisation & Formulas

100

Factorise 7a+21

7(a+3)

200

Factorise x²+4x+4

(x+2)²

300

Factorise x²-4

(x+2)(x-2)

400

Make x the subject 

x+2y = 3x -4

x = 2+y

500

Make x the subject 

8x+y²=20z

(20z-y²)/8

Probability

100

List all the possible outcomes when we roll a die.

1, 2, 3, 4, 5, 6

200

What is the probability of getting an even number when a die is rolled. 

1/2 

300

The probability of picking a blue ball is 2/3. 

What is the probability of picking a non-blue ball? 

1/3

400

A letter is selected from the word "M A T H E M A T I C S". Find the probability that a vowel is selected. 

4/11

500

From a deck of 52 cards, what is the probability of drawing an ace? 

1/13

Data Analysis

100

What is the mode? 2, 3, 7, 4, 8, 7, 3, 9, 7

7

200

What is the median? 7, 12, 13, 6, 9, 2, 4, 3, 9

7

300

What is the mean? 17, 20, 23, 14, 6

16

400

What is the disadvantage of histogram?

The exact values cannot be determined from the histogram. 

500

What is the advantage of dot diagram? 

- we know the exact data from the dot diagram because each dot represents one value 

- It is easier to draw 

- It is easier to spot any extreme values on the dot diagram 

Pyramids, Cones, Spheres

100

What is the volume of a pyramid?

1/3 x base area x height

200

What is the arc length of the sector? 

2ℼr

300

What is the volume of cone?

1/3 ℼr²h

400

What is the surface area of a cone?

ℼr² + ℼrl

500

The volume of the pyramid is 250cm3.The base area of the pyramid is 50cm2.
Find the perpendicular height of a pyramid.

15cm