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Worksheets

BOOM TEST

Total questions: 26

Worksheet time: 7hrs 30mins

Name
Class
Date
1.

Find the arc length of the bolded arc

a)

A

b)

B

c)

C

d)

D

2.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
3.

What is the area of the shaded region? Round to the nearest hundredth. (2 dp)

a)

50.27

b)

3015.93

c)

8.38

d)

4.19

4.

If the 2nd term of an Arithmetic Progression is 13 and the 5th term is 25, the common difference is

a)

12

b)

4

c)

3

d)

5

5.

Given a sequence of Geometric Progression are 4,16,64,256.....Find T7.

a)

16383

b)

16384

c)

16385

d)

16386

6.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
7.

Find the sum of first 7 terms of geometric progression below:

4 - 8 - 16 - 32...

a)

195

b)

172

c)

202

d)

145

8.

3, 12, 48, …, 3072 is a geometric progressions. Calculate its number of terms.

(a)  

9.

Given a geometric progression 1458, 486, 162, 54, …find the sum from fifth term to the eighth term. (2 decimal places)

(a)  

10.

The fourth term of an arithmetic progression is 14 and the fifth term is 20. find the sum of the first 35 terms of the progression

(a)  

11.
The number in front of the variable is called the.... 
a)
exponent
b)
base
c)
coefficient
d)
fronter
12.
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x3 - 5x2 + 2x - 10
a)
0
b)
2x-10
c)
-2x-10
d)
2x+10
13.
Is (x-4) a factor of (x3 +x2 -16x-16)?
a)
YES
b)
NO
14.
Find all the zeros, given that f(-3) = 0
f(x) = 2x3+5x2-6x-9
a)
-1,-3,-3
b)
-1,-3,3/2
c)
3,3,3
d)
-3,2/3,-1
15.
What is row 7 of Pascal's Triangle?
a)
1, 5, 10, 5, 1
b)
1, 5, 10, 10, 5, 1
c)
1, 7, 21, 35, 35, 21, 7, 1
d)
1, 7, 21, 35, 21, 7, 1
16.

What is the Binomial expansion of (x + 1)5 ?

a)

x5 + 5x4 + 10x3 + 10x2 + 5x + 1

b)

x5 + 5x4 + 15x3 + 15x2 + 5x + 1

c)

x5 + 6x4 + 15x3 + 15x2 + 6x + 1

d)

x5 + 1

17.

Choose the right Pascal's triangle

a)
b)
c)
d)
18.
a)

126126

b)

−126-126

c)

−36-36

d)

3636

19.
Find the coefficient of the x2 term in (2x-3)9
a)
41472x2
b)
41472
c)
-314928x2
d)
-314928
20.

Use the discriminant to find the number of solutions for the following equation.


y = -3x2 +5x - 8

a)

2 solutions

b)

1 solution

c)

0 solutions

21.
a)

p=100, n=2

b)

p=2, n=8/2

c)

p=0, n=5/3

d)

p=1000, n=8/2

22.

a)

p=5 , q=6p=5\ ,\ q=6

b)

p=21 , q=−3p=21\ ,\ q=-3

c)

p=32 , q=75p=\frac{3}{2}\ ,\ \ q=\frac{7}{5}

d)

p=12 , q=−85p=\frac{1}{2}\ ,\ \ q=-\frac{8}{5}

23.
Convert 6(x+2)=216 to logarithmic form
a)
log216(x+2)=6
b)
log6(x+2)=216
c)
log6(216)=x+2
d)
log(x+2)(216)=6
24.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
25.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
26.

| 2x + 7 | ≤ 5

a)

- 6 ≤ x ≤ 1

b)

x < - 6 or x > - 1

c)

- 6 ≤ x ≤ - 1

d)

x ≤ - 6 or x ≥ - 1