"Basic" Math. You should definitely know that I am sarcastic about the word basic. Expect some ACT based questions and generic questions. You will get a hour worth of time to figure out these questions since most of them will take around a minute to figure out.
21. What is the sum of the first 4 terms if of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13?
10.5
14.5
18
21.25
22. George has 4 sets of socks, and 4 sets of shoes. Each pair has a different color: White, Brown, Black, and Blue.
If George selects a pair of socks (same color) and a pair of shoes (same color) at random, what is the theoretical probability that George will choose a white pair of shoes and a pair of socks that are not white?
0.0625
0.25
0.125
0.1875
23. For what value of a would the following system of equations have an infinite number of solutions?
2x − y = 8
6x − 3y = 4a
24
2
6
8
24. There is a regular deck of 52 cards. What is the probability that Joy will draw a card that is a red 5 OR a card that is a black 8?
5/52
8/52 = 2/13
4/52 = 1/13
13/52 = 1/4
25. How many irrational numbers are there between 1 and 6 ?
infinitely many
2
6
4
26. What is the greatest common factor of 42, 126, and 210 ?
6
21
42
14
27. Maria is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Maria’s total charge, in dollars, for staying x nights?
1.08(99.95x + 5)
1.08(99.95 + 5)x
1.08(99.95x) + 5
(99.95 + 0.08x) + 5
28. x² + y² = 153
y = −4x
If (x, y) is a solution to the system of equations above, what is the value of x²?
3
51
9
144
29. The function f is defined by f(x) = 2x³ + 3x² + cx + 8, where c is a constant. In the xy-plane, the graph of f intersects the x-axis at the three points (−4, 0), (1/2, 0), and (p, 0). What is the value of c?
10
-2
-18
2
30. Two circles of center P and Q with radii 4 cm and 5.5 cm touches externally, what is the distance between their centers?
5.5
4.5
1
9.5
31. Starting at a height of 2000 feet, an object was projected straight downward with an initial velocity of 40 feet per second. In how many seconds will it reach the ground?
13
11
11.5
12.5
32. The expression (3x − 4y²)(3x + 4y²) is equivalent to:
9x² + 16y⁴
9x² − 16y⁴
6x² − 16y⁴
9x² − 8y⁴
33. The total number of diameters of a circle is:
Infinitely many
3
2
1
34. Two circles of center P and Q with radii 4 cm and 5.5 cm touches externally, what is the distance between their centers?
9.5
1.5
4.5
5.5
35. 2 + X = 5
X=3
X=2
X=8
4=X
36. What is the speed of a car that travels a distance of 120 miles in 2 hours?
60 mph
50 mph
70 mph
80 mph
37. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
$325
$400
$408
$425
38. If y(x-1)=z then x=
z/y + 1
y-z
z(y-1)
1-zy
39. 43 + 56
99
83
98
90
40. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6 1/5 inches. How many miles are actually between the two towns?
144 miles
124 miles
80 miles
106 miles
41. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?
30
15
10
20
42. Sue receives a base salary of $90 weekly plus a 12% commission on all sales. Sue had $3,000 in sales this week. How much did she make total?
$375
$125
$250
$450
43. If 3x=6x-15 then x + 8=
9
5
10
13
44. What is 1/9th of 9?
1
4
2
3
45. A hockey team won 6 games and lost 8. What is the ratio of wins to number of games?
6/14
6/8
2/4
3/7
46. 6.334 * 10 to the power of 4 =
63,340
633,400
0.00063340
6,334
47. Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. How much is the boat?
$16,540.44
$15,870.88
$17,250.00
$15,980.55
48. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?
$6,000
$18,000
$15,000
$12,000
49. 3X = 30
X=6
X=3
X=10
X=4
50. Find the missing term in the following sequence: 4, 9, 19, __, 79