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ACT American College Testing: Math Section Sample Questions:

1. The 3rd and 4th terms of an arithmetic sequence are13 and 18, respectively.
What is the 50th term of the sequence?

A) 258
B) 248
C) 253
D) 250
E) 263

2. FILL BLANK
A bus holds 68 people. If there must be one adult for every four children on the bus, how many children can fit on the bus?

3. The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle ( ΔABC ), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fans has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window.
Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?

A) $341
B) $393
C) $354
D) $262
E) $302

4. The area of one square face of a rectangular prism is 121 square units. If the volume of the prism is 968 cubic units, what is the surface area of the prism?

A) 528 square units
B) 1,452 square units
C) 512 square units
D) 594 square units
E) 352 square units

5. A dish is cooked with the secret ingredients A, B, and C mixed in the ratio 2:3:5, respectively, by weight.
How many pounds of secret ingredient A are in 4 2 pounds of the dish?

A) 21
B) 42
C) 12.6
D) 8.4

Solutions: