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SAT Subject Test: Math Level 1
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Math
Grade 10
Grade 10 Math
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Preparing for competitive exams? Jump to
Olympiad

Kangaroo
SCHOOL TOPICS
Real Numbers
Sample Question
Euclid's Division Lemma states that if a and b are any two positive integers, then there exist unique integers c and d such that
A.
a = bc + d, 0 ≤ d < b
B.
a = bc + d, 0 ≤ c < b
C.
a = bc + d, 0 < c ≤ b
D.
a = bc + d, 0 < d ≤ b
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Linear Equations in Two Variables
Sample Question
A two digit number is 4 times the sum of its digits. If 27 is added to the number, the digit interchange their places. Find the number.
A.
27
B.
63
C.
36
D.
45
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Quadratic Equations
Sample Question
A natural number, when decreased by 6, equals 187 times its reciprocal. Find the
number.
A.
21
B.
17
C.
19
D.
15
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Arithmetic Progressions
Sample Question
What is the sum of all threedigit numbers that are divisible by 17?
A.
28833
B.
28831
C.
28832
D.
28829
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Trigonometry
Sample Question
If tan θ + cot θ = 9, find the value of tan
^{2}
θ + cot
^{2}
θ.
A.
77
B.
83
C.
81
D.
79
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Mean, Mode and Median
Sample Question
If the mean of the following data is 35, and the sum of
x
and
y
is 24, then what is the value of
y
.
Class interval
010
1020
2030
3040
4050
5060
6070
Frequency
y
16
14
16
x
12
18
A.
14
B.
20
C.
11
D.
15
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Probability
Sample Question
What is the probability that a leap year will contain 53 Fridays and 52 Saturdays?
A.
1
52
B.
2
366
C.
1
7
D.
1
366
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Dice and Cubes
Sample Question
A die has numbers 1 to 6, such that sum of opposite faces are always 7. Which is the correct view of die ?
A.
B.
C.
D.
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Venn Diagrams
Sample Question
Which of following shows relation between Pomegranate, Fruits and Orange.
A.
B.
C.
D.
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Number Series
Sample Question
Find the next term of given sequence ..
12, 132, 156, 204, 228, 276, ....
A.
348
B.
336
C.
354
D.
360
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Alphabet Problems
Sample Question
Which is the odd one out in this set:
stake, skate, kates, steak
A.
stake
B.
steak
C.
skate
D.
kates
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NTSE_MAT
Sample Question
Find the next term of given sequence ..
388, 349, 310, 271, 232, 193, 154, ....
A.
111
B.
122
C.
115
D.
76
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Full Year 10th Grade Review
Sample Question
Two years ago Nick was four times older than his son. After two years, Nick will be 6 years more than two times the age of his son. Find the present age of Nick and his son.
A.
24 and 9 years
B.
21 and 6 years
C.
20 and 5 years
D.
22 and 7 years
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Polynomials
Sample Question
If α and β are the zeros of polynomial
x
^{2}

x
 6
, find a polynomial whose zeros are 2α+1 and 2β+1.
A.
k [
x
^{2}
+ 4
x
 24
]
B.
k [
x
^{2}
 21
x
+ 4
]
C.
k [
x
^{2}
+ 6
x
 21
]
D.
k [
x
^{2}
 4
x
 21
]
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