## Friday, December 25, 2009

### Math Quiz X - Of Perimeters and Areas

### Math Quiz IX - One Challenging Question!

If the base is 8 cm, find the length of AB.

**Hints :**

### Math Quiz VIII - Percentages

is then decreased by 40%. The percentage change

between the final number obtained

and the other is increased by 40%.

The percentage increase in their products is :

the square of the number and the number itself

as a percentage of the original number is :

c) (x - 1)100 d) 100x

isosceles triangle is cut off. The percentage of the remaining

part of the square is :

what percentage of the original square remains?

### Math Quiz VII - Profit, Loss and Discount

8. (c) 9. (a) 10. (b) 11. (c) 12. (b) 13. (c)

## Thursday, December 24, 2009

### Math Quiz VI

**Note : All the following questions pertainto the figure on the left which showsa square with semicircles on its opposite sides.**

** **

** **

** **

**1. If each side of the square is 14 cm, the perimeter of the figure equals :**

**a) 56 cm**

**b) 64 cm**

**c) 72 cm**

**d) 84 cm**

** **

**2. If each side of the square is 14 cm, the area of the figure equals :**

**a) 308 sq cm**

**b) 420 sq cm**

**c) 504 sq cm**

**d) 630 sq cm**

** **

**3. If the radius of each semicircle is 'r', the perimeter of the figure equals :**

**a) r(pi + 4)**

**b) 4r(pi +2)**

**c) 2r(pi + 2)**

**d) 2r(pi + 4)**

** **

**4. If the radius of each semicircle is 'r', the area of the figure equals :**

**a) (r^2)[pi + 2]**

**b) (r^2)[pi + 4]**

**c) 2(r^2)[pi + 4]**

**d) 4(r^2)[pi + 1]**

** **

**5. If the radius of each semicircle is 3.5 cm, the perimeter of the figure equals :**

**a) 35 cm**

**b) 42 cm**

**c) 50 cm**

**d) 56 cm**

** **

**6. If the radius of each semicircle is 3.5 cm, the area of the figure equals :**

**a) 87.5 sq cm**

**b) 60 sq cm**

**c) 93.5 sq cm**

**d) 105 sq cm**

** **

**7. If the perimeter of the figure is 72 cm, the radius of each semicircle is :**

**a) 7 cm**

**b) 10.5 cm**

**c) 14 cm**

**d) 17,5 cm**

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**8. If the perimeter of the figure is 72 cm, the area of the figure is :**

**a) 560 sq cm**

**b) 616 sq cm**

**c) 630 sq cm**

**d) 700 sq cm**

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**9. If the area of the figure is 1837.50 sq cm, then the radius of the semicircle is :**

**a) 10.5 cm**

**b) 14 cm**

**c) 17.5 cm**

**d) 21 cm**

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**10. If the area of the figure is 1837.50 sq cm, then the perimeter of the figure is :**

**a) 280 cm**

**b) 350 cm**

**c) 420 cm**

**d) 490 cm**

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**11. If the diagonal of the square is 7(rt2) cm, then the perimeter of the figure is :**

**a) 30 cm**

**b) 40 cm**

**c) 50 cm**

**d) 60 cm**

** **

**12. If the diagonal of the square is 7(rt2) cm, then the area of the figure is :**

**a) 70 sq cm**

**b) 73.5 sq cm**

**c) 80.5 sq cm**

**d) 87.5 sq cm**

** **

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**----------Answer Key----------**

** **

**1. (c) **** ****2. (c) **** ****3. (d) **** ****4. (b) **** ****5. (c) **** ****6. (a)**

**7. (c)**

**8. (b)**

**9. (a)**

**10. (b)**

**11. (c)**

**12. (d)**

### Math Quiz V

If the first number increases by 20%

then the new product is

the 2 semicircles shown,

and hypotenuseAC = 14 cm

and another 30 km at 60 kmph;

for a school magazine. If 20% of the 1st 20 sold

were in colour, 40% of the next 30sold were in colour,

what percent of the 60 ads sold were in colour?

and after the third bounce it rises to a height of 24 m.

If the height to which the ball rises after each bounce

is always the same fraction of the height

### Math Quiz IV

### Math Quiz III

### Math Quiz II

angle DBC = 45 deg, then angle ABC equals :

for w weeks. His daily wage equals Rs :

then the mean of x and y is :

### Math Quiz I

a) 16 b) 36 c) 64 d) 96

2. A copier makes 3 copies every 4 seconds.

How many minutes will it take to make 9000 copies?

a) 60 b) 100 c) 120 d) 200

3. A square of perimeter 24 cm has

semicircles on a pair of opposite sides.

The total area of the figure is:

4. In 3 games a team scores 385, 70 and 190.

In the 4th game, the team scores such that

the average score in the 4 games is 220.

Their 4th game score is:

a) 135 b) 155 c) 220 d) 235

5. When x = 0.6, then the value of 3x^2 - 1.8x + 0.3 equals :

a) - 0.3 b) 0 c) 0.3 d) 1.08

6. Over a 3 week period, the price of gold

increased by 25% in the 1st week, decreased

by 20% in the 2nd week and increased by 5%

in the 3rd week. If the price in the

beginning of the 1st week was x,

then the price at the end of the 3rd week equals:

a) 0.95x b) x c) 1.05x d) 1.15x

7. A rectangle is equal in area to a square of side 12 cm.

If the rectangle has a width of 9 cm, the length of the diagonal is :

a) 20 cm b) 22 cm c) 24 cm d) 25 cm

8. The ratio (0.2)^8 : (0.2)^5 equals:

a) 0.0008 b) 0.008 c) 0.08 d) 0.8

9. The ratio (1/3)^2 : (1/3)^4 equals:

a) 9 : 1 b) 3 : 1 c) 1 : 9 d) 1 : 3

10. The difference in areas of 2 squares

whose diagonals are 34 cm and 27 cm equals :

a) 106.75 sq cm b) 213.5 sq cm c) 427 sq cm d) 729 sq cm

----------Answer Key----------

1. (c) 2. (d) 3. (b) 4. (d) 5. (c) 6. (c) 7. (d) 8. (b) 9. (a) 10. (b)