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# Tip #48 to Get a Top SAT Math Score (page 2)

By McGraw-Hill Professional
Updated on Sep 10, 2011

### Example Problems

Name the skill(s) that you can use, and then solve each question.

### Easy

1. If , what is the value of a ?
1. 60
2. 40
3. 30
4. 20
5. 14
2. If the average (arithmetic mean) of the perimeters of two shapes is 14, what is the sum of the perimeters of the two shapes?
1. 0
2. 7
3. 14
4. 21
5. 28

### Medium

1. If two sides of a triangle are equal, which of the following could be the measures of its angles?
1. 30, 30, 90
2. 35, 45, 100
3. 35, 35, 110
4. 30, 60, 90
5. 45, 45, 45
2. Five boys on an elevator have an average (arithmetic mean) weight of 120. A sixth boy wants to join them. If the elevator can hold 750 lb, what is the maximum the sixth boy can weigh in order for the group not to exceed the elevator's 750–pound weight limit?
3. If f(x) = 3x3, and f(b) = 24, then b =
1. –1
2. 0
3. 2
4. 8
5. 9
4. fruit cup contains apple, pear, and banana in the ratio 2 : 3 : 4. If a serving of fruit cup contains 9 pieces of pear, how many total pieces of fruit are in the cup?
5. The function M(u) = (2u)2k expresses the number of songs Simon has memorized this year, where u represents months so far this year and M(u) represents songs memorized. If by the end of June he has memorized 9 songs, what is the value of k ?
1. 6
2. 9
3. 63
4. 135
5. 318

### Hard

1. If a is a multiple of 3 and b is a multiple of 4, which of the following must be a multiple of 12 ?
1. ab
2. 3a + 4b
3. 4a + 3b
1. I only
2. III only
3. I and III
4. II and III
5. I, II, and III
2. In the diagram above, what is the value of a in terms of b and c ?
1. 90 + 4b + c
2. 180 – 3b – 2c
3. 180 + 2b + c
4. 360 – 4b – 2c
5. 360 + 3b – c
3. The average (arithmetic mean) of the bowling scores of a team of m students is 170, and the average of the scores of a class of n students is 182. When the scores of both teams are combined, the average score is 177.5. What is the value of m/n ?
1. 0.4
2. 0.6
3. 0.8
4. 1
5. 1.2