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BATTLE OF THE MATH WIZARDS FINAL ROUND CATEGORY A

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

If a = 3 and b = 4, find the value of

 abb a4b\frac{ab}{b\ -a}-4b  

a)

0

b)

1

c)

4

d)

-4

2.

A geometric sequence has first 5 terms and the fourth term is

 80280\sqrt{2}  . What is the second term?

a)

 525\sqrt{2}  

b)

 10210\sqrt{2}  

c)

 15215\sqrt{2}  

d)

 20220\sqrt{2}  

3.

If 10 - 4k, 2k - 42 and 27 - 3k are three consecutive terms of arithmetic sequence find their common difference.

a)

12

b)

13

c)

14

d)

15

4.

The square region is removed from rectangular region. Which of the following can be true?

A. The perimeter is decreased.

B. The perimeter not changed.

C. The perimeter is increased.

a)

A and C

b)

A and B

c)

B and C

d)

B only

5.

How many prime numbers between 40 and 240 ends with 4?

a)

0

b)

1

c)

2

d)

3

6.

The sum of the angles of a regular polygon is 2160o. How many sides does it have?

a)

12

b)

13

c)

14

d)

15

7.

Find the 7th term of the geometric sequence: 8, 12, 18, ...

a)

7288\frac{728}{8}

b)

7299\frac{729}{9}

c)

7298\frac{729}{8}

d)

7289\frac{728}{9}

8.

What is the remainder when x105 - 1 is divided by x + 1?

a)

1

b)

-1

c)

2

d)

-2

9.

Find the value of [x - (x - x-1)-1]-1


when x = 2.

a)

14\frac{1}{4}

b)

12\frac{1}{2}

c)

34\frac{3}{4}

d)

4

10.

Factor completely the expression x3 - 7x + 6

a)

(x - 1)(x + 3)(x - 2)

b)

(x + 1) (x + 3)(x - 2)

c)

(x - 1)(x - 3)(x - 2)

d)

(x - 1)(x - 3)(x + 2)