Number Sense Exam 089, 11/15/2019
(1) 19 × 17 + 11 × 17 = (23) (4)−1 + (4)−2 =
(2) 28 − 208 − 2008 = (24) The number of elements in the Cartesian product
3 21 of {1, 2, 3, 4} and {2, 3, 4} is
(3) ÷ =
5 25
(25) 121 × 103 =
(4) 24 × 25 =
(26) The area of a square with a diagonal of
(5) 66 × 64 = √
3 2 is sq. units
(6) 2357 ÷ 9 = (mixed number) 4
(27) 4 ÷ .444 . . . = (decimal)
5
(7) 2010 ÷ 25 = (decimal)
2 1
(28) 4 × 6 = (mixed number)
4 21 3 2
(8) × =
7 22 (29) The product 22 × 32 × 51 has how many positive
1
(9) = % integral divisors?
12
*(10) 549 × 62 = *(30) 8π 3
5 1
(11) 4 ÷ 3 = (improper fraction) (31) If a dozen pens cost $8.76, then 4 pens
6 6
cost $
(12) If 1 gram = .04 oz., then 48 grams = oz.
(32) If x and y are positive integers and x2 − y 2 = 53,
(13) 172 =
then y =
15
(14) × 15 = (mixed number) 3 1
22 (33) 6 × 20 = (mixed number)
5 2
(15) Find the cost of driving a truck 189 miles at $.33
(34) The product of the prime numbers less than
per mile. $
11 is
(16) The LCM of 22, 33, and 44 is √
3
(35) 343 × 27 =
(17) The mean of 22, 31, and 40 is x−8 x+9 B
(36) + = A , a simplified mixed number.
x+9 x−8 C
(18) 1800 × 2400 × 3000 = cu. ft. Find B.
(19) 280 plus 30% of 320 is (37) A CD sells for $20 plus 8.25% sales tax. The total
cost of the CD is $
*(20) 24096 ÷ 124 =
(38) If 8 − x = 3, then 3x − 8 =
(21) 742 − 732 =
(39) If x − 3 = −4, then x + 3 =
(22) The sum of three consecutive even integers is 102.
Twice the largest integer is *(40) 16 × 48 + 24 × 52 =
(41) A triangle has sides of 9, x, and 13. What is the *(60) 123 ÷ 242 × 88 =
greatest integral value of x?
(61) The greatest integer function f (x) = [x] has a
(42) 23 × 25 + 1 = value of for f (π)
√
(43) If 4x + 6 = 2, then 6x − 2 = (62) 19044 =
5 29
(44) − = (63) The sum of the coefficients of (a + b)3 is
11 67
2
(45) The hypotenuse of a 30-60-90◦ right triangle is 1 (64) (2x3 + 3x2 − 4x − 5) ÷ (x + 1) has a
3
ft. The smaller leg is inches remainder of
(46) If f (x) = 2x2 − x − 4, then f (−3) = (65) If f (x) = 5 − 2x, then f −1 (3) =
(47) The vertex of y = x2 − 2x − 4 is (h, k) and k = 2 2π
(66) sec −1=
3
(48) 63 ÷ 1.75 =
(67) cos2 30◦ − sin2 30◦ =
(49) The slope of the line 2x + 3y = 4 is 3
(68) The odds of winning a medal is . The
16
*(50) (1 + 2 + 3 + . . . + 19)2 = probability of not winning a medal is
√ √
(51) log5 125 = (69) 9801 =
2 1 5
(52) + + + ... = *(70) 7e2 × 9π 2 =
5 3 18
2 2 2
(53) + + = (71) If f (x) = x2 + 4x then f 0 (3) =
3 15 35
4
(54) If 1, 9, and x are the integral sides of a triangle, (72) 444 × =
37
then the last value of x is
(73) 16 × 625 =
1 1 1 1
(55) + + + =
2 6 12 20 (74) The slope of the line tangent to x2 + y 2 = 4 at
(56) Find k, so that the four digit number 31k8 is y = 2 is
divisible by 9.
(3x + 2)
(75) If f (x) = , the horizontal asymptote is
(7x − 4)
(57) Let T = {t, m, s, c, a}, M = {m, e, n, t, a, l}, and y=
N = {n, u, m, b, e, r, s}. T ∪ M ∪ N has how many
distinct elements? (76) Find x, 1 ≤ x ≤ 5, if 3x − 2 ≡ 3(mod 7).
(58) In Petville, 35 families have cats, 24 have dogs, (77) The least value of k such that 8 Ck = 56 is
Z 2
and 12 have both. How many families
(78) x−3 dx =
are there? 1
(79) If f (x) = 3x − 1, then f −1 (2) =
(59) If y varies inversely with x and y = 2 when
5
x = −2, find x when y = −4. *(80) 546 ÷ 45 × 10.8 =
11
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