ID : sg-10-SASMO [1]
Grade 10
SASMO
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Answer the questions
(1)
For what values of p are 3p + 21, 4p + 8, and 6p - 14 sequential members of an arithmetic
progression?
(2)
There are 5 books belonging to 5 students. The books were put into a box, and each student pulls out
an book one after the other. What is the probability that each student gets his or her own book?
(3)
3899 cans are stored in a warehouse in such a manner that there are 298 cans in the bottom row, 295
cans in the second row, 292 cans in the third row, and so on. How many rows of cans are there?
(4)
From among a group of 3 men, 3 women and 4 children, 4 individuals are selected randomly. What is
the probability that exactly 3 among the chosen are children?
(5)
The letters of the word MATHEMATICS are rearranged in a random order. What is the probability that
the letters H and S have exactly 4 letters between them?
(6)
Solve quadratic equation x 2 + 4 x - (a2 + 2a - 3) = 0 using factorization.
(7)
If the sum of the first n terms of an arithmetic progression is given by the equation 20n + 4n2, then what
is the 23rd element of this AP?
(8)
What is the probability that an integer in the set 1, 2, 3, ...136 is divisible by 2 and not divisible by 3?
(9)
Caleb goes for a vacation with $900 for his expanses. If he extends his vacation by 2 days, he has to
cut down his daily expanses by $5. Find original duration of his vacation.
(10) Faces of a cube are marked with A,B,C,D,E and F. If two views of cube are as shown below, what will
be there on the bottom when F is at the top?
(11) The sum of the 9th element and the 14th element of an arithmetic progression is -127. The sum of the
11 th and the 16th element is -155. What is the value of the 34 th term?
(12) Simplify 3(sin4θ + cos 4θ) - 2(sin6θ + cos 6θ)
Choose correct answer(s) from the given choices
(13) Find the next term of given sequence ..
6, 9, 15, 27, 51, 99, ....
a. 191
b. 192
c. 195
d. 202
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ID : sg-10-SASMO [2]
(14) Find the next term of given sequence ..
15, 105, 165, 195, 255, 285, ....
a. 360
b. 330
c. 352
d. 345
(15) Find the next term of given sequence ..
14, 30, 64, 134, 276, 562, ....
a. 1129
b. 2272
c. 1138
d. 1136
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ID : sg-10-SASMO [3]
Answers
(1)
(2)
(3)
(4)
(5)
9
1
120
14
24
210
12
110
(6)
x = -(a + 3) ,or x = a - 1
(7)
200
(8)
(9)
23
68
18 days
(10) E
(11) -221
(12) 1
(13) c. 195
(14) d. 345
(15) d. 1136
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Personal use only. Commercial use is strictly prohibited.