Cat 3 practice

Linear equations

100

Find the value of x:

2x-5=11

x=8

200

Find the value of x:

1/2x+5=x-1

x=12

300

Find the value of x:

(x+5)/(x-1)=4

x=3

400

Find the value of x:

2/(x-5)=6/(x+3)

x=9

500

5/4x=15/(8x+1)

x=1/4

Percentages

100

Find 17% of 200

34

200

Increase 28 by 30% 

36.4

300

Decrease 123 by 45% 

67.65

400

the price of a bowl of pho has increased by 30% in the last year and now costs 32,500 VND. Find the price before the increase 

25,000 VND

500

After a decrease of 17% a pair of shoes are now priced at $120.35 Find the original price. 

$145

Expanding/factoring

100

Expand 

2x(x+3)

2x²+6x

200

Expand

5x(x²+3x+4)

5x³+15x²+20x

300

Factorize

2p²+12p

2p(p+6)

400

Expand and simplify 

2(x²+3)-2x(3x-4)+2x(x-3)+5

-2x²+2x+11

500

factorize 

12x⁴+27x³-51x⁵

3x³(4x+9-17x²)

Standard form

100

Write in standard form 

3,400

3.4x10³

200

Write not in standard form 

2.6x10^-2

0.026

300

Add the following numbers and write in normal notation

2 x 10³+4.5 x 10⁴

47,000

400

multiply the following numbers 

(2.2 x 10⁷) x (5 x 10^-4)

1.1 x 10⁴

500

Divide the following numbers 

(2.3 x 10³) / (9.2 x 10^-5)

2.5 x 10⁷

Random

100

What is the largest planet in the solar system?

Jupiter

200

Which city in Vietnam has the Perfume river?

Hue 

300

How many Km is a full marathon (closest km)

42 

400

Which continent is Vincent Massif the largest mountain?

Antartica

500

Which floor was my last apartment on?

18