SSAT Upper Level Math Practice Test 10

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1. 39469.png

The diagram shows a cube.

The distance from A to X is

  • A. 2 inches
  • B. 39459.png inches
  • C. 39448.png inches
  • D. 1 inch
  • E. 39437.png inches

2. A motorist travels 120 miles to his destination at an average speed of 60 miles per hour and returns to the starting point at an average speed of 40 miles per hour. What is the average speed for his entire trip?

  • A. 53 miles per hour
  • B. 52 miles per hour
  • C. 50 miles per hour
  • D. 48 miles per hour
  • E. 45 miles per hour

3. A snapshot measures 239426.png inches by 139415.png inches. It is to be enlarged so that the longer dimension will be 4 inches. The length of the enlarged shorter dimension will be

  • A. 239405.png inches.
  • B. 239393.png inches.
  • C. 3 inches.
  • D. 339384.png inches.
  • E. 339371.png inches.

4. From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. Of the following, the ratio of the area of the circle to the area of the original square is closest in value to

  • A. 39361.png
  • B. 39352.png
  • C. 39341.png
  • D. 39328.png
  • E. 39319.png

5. If the outer diameter of a metal pipe is 2.84 in. and the inner diameter is 1.94 in., the thickness of the metal is

  • A. 0.45 in.
  • B. 0.90 in.
  • C. 1.42 in.
  • D. 1.94 in.
  • E. 2.39 in.

6. A sportswriter claims that her football predictions are accurate 60% of the time. During football season, a fan kept records and found that the writer was inaccurate for a total of 16 games, although she did maintain her 60% accuracy. For how many games was the sportswriter accurate?

  • A. 5
  • B. 15
  • C. 24
  • D. 40
  • E. 60

7. In a certain boys' camp, 30% of the boys are from New York State and 20% of these are from New York City. What percent of the boys in the camp are from New York City?

  • A. 60%
  • B. 50%
  • C. 33%
  • D. 10%
  • E. 6%

8. 39308.png

A unit block for construction is 1 × 2 × 3 inches. What is the number of whole blocks required to cover an area 1 foot long by 1392971.png feet wide with one layer of blocks?

  • A. 30 blocks
  • B. 60 blocks
  • C. 72 blocks
  • D. 90 blocks
  • E. 180 blocks

9. If the number of square inches in the area of a circle is equal to the number of inches in its circumference, the diameter of the circle is

  • A. 4 inches.
  • B. 2 inches.
  • C. 1 inch.
  • D. π inches.
  • E. 2π inches.

10. The least common multiple of 20, 24, and 32 is

  • A. 240
  • B. 480
  • C. 960
  • D. 1920
  • E. 15,360

11. If 9x + 5 = 23, the numerical value of 18x + 5 is

  • A. 46
  • B. 41
  • C. 38
  • D. 36
  • E. 32

12. When the fractions 39287.png, 392771.png, 39267.png, and 392571.png are arranged in ascending order of size, the result is

  • A. 39246.png, 39234.png, 39225.png, 39213.png
  • B. 39203.png, 39192.png, 39183.png, 39170.png
  • C. 39161.png, 39151.png, 39140.png, 39130.png
  • D. 391201.png, 39110.png, 39098.png, 39087.png
  • E. 39076.png, 39066.png, 39056.png, 39046.png

13. If a cubic inch of a metal weighs 2 pounds, a cubic foot of the same metal weighs

  • A. 8 pounds.
  • B. 24 pounds.
  • C. 96 pounds.
  • D. 288 pounds.
  • E. 3456 pounds.

14. A micromillimeter is defined as one millionth of a millimeter. A length of 17 micromillimeters may be represented as

  • A. 0.00017 mm.
  • B. 0.000017 mm.
  • C. 0.0000017 mm.
  • D. 0.00000017 mm.
  • E. 0.000000017 mm.