ID : U-293602-1-5309-SASMO [1]
Grade 10
SASMO
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Answer the questions
(1)
The numbers 1 to 11 are written on 11 pieces of paper and dropped into a box. Three of them are
drawn at random. What is the probability that the three pieces of paper picked have numbers that are in
arithmetic progression?
(2)
In a class, one-third of students had gone to watch magic show. Twice the square root of the students
had gone to watch football match, and remaining 36 students had gone to watch museum. Find total
number of students in the class.
(3)
Muhammad selects 3 numbers randomly from the following set of 5 numbers
2, 8, 7, 5 and 6 .
He puts them in the form of a proper fraction of the type a
b
c
.
What is the probability that you will get a fraction greater than 5
17
18
?
(4)
Solve quadratic equation x 2 + 6 x - (p2 + 2p - 8) = 0 using factorization.
(5)
Which term of the following two arithmetic progressions will have the same value?
-3, 4, 11, 18..., and
181, 180, 179, 178...
(6)
If the sum of the first n terms of an arithmetic progression is given by the equation 21n + 2n2, then what
is the 24th element of this AP?
(7)
The sum of first 6 terms of an arithmetic progression is 186. The ratio of term 5 th to term 15 th of the AP
is 23:73. What is the value of the 78th term of the AP?
(8)
How many integers satisfy the inequality x 2 - 11 x < - 24
(9)
There are two numbers. If four times the larger of two numbers is divided by the smaller one, we get 6
as quotient and 6 as remainder. If five times the smaller of two numbers is divided by the larger one, we
get 3 as quotient and 2 as remainder. Find the numbers.
(10) Simplify:
(11) Faces of a cube are marked with 1,2,3,4,5 and 6. If two views of cube are as shown below, what will be
there on the top when 5 is at the bottom?
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ID : U-293602-1-5309-SASMO [2]
Choose correct answer(s) from the given choices
(12) Find the next term of given sequence ..
14, 46, 154, 526, 1834, ....
a. 6522
b. 6530
c. 7550
d. 6526
(13) Find the next term of given sequence ..
5, 18, 57, 174, 525, 1578, ....
a. 4740
b. 4737
c. 4733
d. 4743
(14) Which of following shows relation between Platinum, Silver and Metal.
a.
b.
c.
d.
(15) Find the next term of given sequence ..
24, 25, 29, 38, 54, ....
a. 84
b. 80
c. 79
d. 71
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ID : U-293602-1-5309-SASMO [3]
Answers
(1)
(2)
(3)
15
99
81
18
30
(4)
x = -(p + 4) ,or x = p - 2
(5)
24
(6)
115
(7)
776
(8)
4
(9)
21 and 13
(10) 0
(11) 6
(12) d. 6526
(13) b. 4737
(14) c.
(15) c. 79
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