REVISION FOR ADD MATH FEB. TEST

Surds

100

Simplify √75    

5√3

200

Evaluate: 15√3 - 21√3

– 6√3

300

Evaluate: 7√8   +  12√50 -  17√32

20√2

400

The surd 7√5 when converted to its original form is 

√245

500

Simplify: (√2  + 1)/(√2  - 1)

2√2 + 3

Logarithms

100

Find the value of log₂32 is

5

200

Find the value of x. 4^x = 7 

x = 1/40

300

log₅ (3x + 7) - log₅ (x - 9) = 1

x = 26 

400

log_a(6x+12) - log_a (x - 3) = log_a (4x + 1)

x = 5 

500

log_a x = log_a b is equivalent to 

x = b

Arithmetic Sequence

100

Given 500, 2100, 3700....then the fifth term is 

6900

200

The nth term of a sequence is a_n = 2ⁿ - 5. Find a₃

n = 3

300

Given - 5, -3, -1..... The formula for the nth term is 

2n - 7

400

Given the sequence -8, -3, k..... The value of k is

2

500

If  - 3n + 6 is the formula for a sequence, the value of the first term is

 n = 3

Geometric Sequence

100

The formula for a geometric sequence is 

ar^{n - 1}

200

The common ratio of 2, 6, 18 

3

300

The 5th term for the sequence -9. - 3, - 1........

-1/9

400

The general formula for 4, 20, 100.....

4(5)^{n - 1}  or 20^{n - 1} 

500

The general formula for -3, 6, -12

-3(-2)^{n - 1}  or 6^{n - 1}

Series(Both)

100

A series is formed by 

Adding the terms of a sequence

200

The sum of the first three series of 2ⁿ is 

14

300

If a = 5   d = 2, then S₁₀ is 

190

400

The seventh term of a geometric progression 320 and its twelfth is 10 240. Find the common ratio

r = 2

500

The seventh term of a geometric progression 320 and its twelfth is 10 240. Find the first term

Ans = 20475