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Solutions 2013

The document contains solutions to various mathematical problems, including angle calculations, discounts, proportions, averages, and simple interest. Each solution is presented with the corresponding calculations and reasoning. It also includes a list of answers to additional questions numbered 12 to 34.

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mbuk.blessing01
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8 views3 pages

Solutions 2013

The document contains solutions to various mathematical problems, including angle calculations, discounts, proportions, averages, and simple interest. Each solution is presented with the corresponding calculations and reasoning. It also includes a list of answers to additional questions numbered 12 to 34.

Uploaded by

mbuk.blessing01
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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SOLUTIONS 2013

1.A:

The sum of the two given angles is 140°.

The measure of the third angle is equal to the difference of 180° and 140°, or 40°.

2. E:

The amount he will need for 3 desserts is equal to the product of

2 1/2 and 3, or 7 1/2.

3. C:

Application of the 50% discount gives the expression,

320 - 0.50(320) =160.

Application of the additional 20% discount to this amount, gives the expression,

160 - 0.20(160)= 128.

, the sale price of the desk was N128.

4. E:

The following proportion may be written:

(1/4)/20=(3 1/2)/x,

which simplifies to 1/4 x=70, where x = 280.

Thus, there are actually 280 miles between the two cities.

5. D:
Removal of 9 pair will ensure that she has one of each color because all 3 colors will be
represented.

Removal of 7 pair may include only pairs of black and white socks, while not including a red
pair.

6. C:

The fractions in Choice C may be converted to the following decimals: 0.25, 0.68, 0.6875, 0.75,
which are indeed in order from least to greatest.

7. C:

The average may be written as

(365+7+24)/3 = 132.

8. A:

Moving the decimal 5 places to the right gives 175,000.

9. C:

The average may be written as

(0.03(2800+3200+3600))/3,

which equals 96.

10. E:

The following proportion may be written:

(1/3)/15=(3 2/3)/x,

which simplifies to

1/3 x=165/3, where x = 165.

Thus, there are actually 165 miles between the two cities.
11. A:

Simple interest may be calculated using the formula,

I = Prt,

where P represents the principal amount, r represents the rate, and t represents the length of time.

Substituting 200 for I, 4000 for P, and 0.05 for r gives

200 = (4000)(0.05)t.

Thus, t = 1. It will take him 1 year to earn N200 in simple interest.

12. A
13. B
14. B
15. B
16. E
17. A
18. C
19. D
20. A
21. D
22. A
23. C
24. B
25. B
26. A
27. B
28. C
29. A
30. D
31. A
32. B
33. C
34. B

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