Download I prelim MCQ - Kilbil St. Joseph`s High School

Std. X
Set. A
I PRELIM EXAM 2014-15
GEOMETRY M.C.Q. Test
Marks : 20
Time: 30 min.
1.
The sides of two similar triangles are in the ratio 4 : 9. What is the ratio of their areas ?
(a) 2 : 3
(b) 4 : 9
(c) 81 : 16
(d) 16 : 81
2.
∆𝐴𝐵𝐶 ~ ∆𝑃𝑄𝑅. ∠𝐴 = 470, ∠𝑄 = 830. What is the measure of ∠C?
(a) 500
(b) 550
(c) 600
(d) 650
3.
A circle is inscribed in ∆𝐴𝐵𝐶 in which BC = 6cm, AB = 8cm and ∠B = 900. What
is the radius of the circle?
(a) 5cm
(b) 2cm
(c) 3cm
(d) 4cm
4.
For the angle in the standard position, if the initial arm rotates 3000 in anticlockwise
direction, then in which quadrant will the terminal arm be?
(a) Quadrant I
(b) Quadrant II
(c) Quadrant III
(d) Quadrant IV
5.
If 𝛼 and 𝛽 are complementary angles, then which of the following is true ?
(a)
𝑠𝑖𝑛 𝛼 = 𝑠𝑖𝑛 𝛽
(b)
cos 𝛼 = cos 𝛽
(c)
tan 𝛼 = tan 𝛽
(d)
sec 𝛼 = 𝑐𝑜𝑠𝑒𝑐 𝛽
6.
What is the slope of a line having inclination 600 ?
(a) 3
(b)
1
3
(c)
3
2
(d)
2
3
7.
Which of the following represents Euler’s formula ?
(a) F + E = V + 2
(b) V + E = F + 2
(c) F + V = E + 2
(d) F – V = E – 2
8.
What would you do to locate the circumcentre of a triangle ?
(a) Draw the perpendicular bisectors of any two sides
(b) Draw any two altitudes
(c) Draw any two medians
(d) Draw the bisectors of any two angles.
9.
In ∆PQR, ∠Q = 900, ∠P = 600. If PR = 36 cm, what is the length of side PQ?
(a) 12cm
(b) 15cm
(c) 18cm
(d) 18 3cm
10. Seg AB is the longest chord of a circle with centre P and radius 6.4 cm. What is the
length of chord AB ?
(a) 6.4 cm
(b) 9.6 cm
(c) 12.8 cm
(d) 13cm
P.T.O.
I PRELIM EXAM 2014-15
ALGEBRA M.C.Q. Test
1.
If for an AP, 𝑡8 = -25 and 𝑡24 = - 89, what is the value of 𝑡16 ?
(a) – 56
(b) - 57
(c) – 58
(d) – 60
2.
If the 11th term and the 14th term of an AP are 23 and 29 respectively, what is the
common difference?
(a) 1
(b) 2
(c) 3
(d) 4
3.
What is the value of k, if the quadratic equations
𝑥 2 − 𝑘𝑥 + 324 = 0 𝑎𝑛𝑑 𝑥 2 + 12𝑥 + 𝑘 = 0 both have real and equal roots?
(a) 36
(b) – 36
(c) 18
(d) – 18
4.
At which point does the graph of the equation 4x-3y=12 intersect the Y-axis?
(a) (0, -4)
(b) (0, 4)
(c) (3,0)
(d) (-3,0)
5.
What is the value of 𝐷𝑥 for the simultaneous equations 3𝑥 − 2𝑦 = 3 and 2𝑥 + 𝑦 = 16?
(a) 42
(b) -42
(c) 35
(d) -35
6.
If the value of the determinant
(a) 6
7.
For an AP
(a)
12
65
4
𝑝
(b) -6
1
6
1
1
4
3
5
is 58, what is the value of p?
7
(c) 8
(d) -8
, , ….. find 𝑆10
(b)
16
65
(c)
65
12
(d)
65
16
8.
What is the class width of the frequency distribution having the classes 0.5-8.5,
8.5-16.5, 16.5-24.5,…..?
(a) 9
(b) 8
(c) 7
(d) 10
9.
What are the roots of the quadratic equation 𝑥 2 +x =30?
(a) 5,6
(b) -5,-6
(c) -5,6
10.
(d) 5,-6
A die is thrown. What is the probability of getting a prime number?
(a)
1
6
(b)
1
3
(c)
1
2
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(d)
2
3
Std. X
Set. B
I PRELIM EXAM 2014-15
GEOMETRY M.C.Q. Test
Marks : 20
Time: 30 min.
1.
What would you do to locate the incentre of a triangle ?
(a) Draw the perpendicular bisectors of any two sides
(b) Draw any two altitudes
(c) Draw any two medians
(d) Draw the bisectors of any two angles.
2.
What is the point of concurrence of the bisectors of the angles of a triangle known as?
(a) Circumcentre
(b) Incentre
(c) Orthocentre
(d) Centroid
3.
The slope of a line is − and the 𝑦-intercept is 5. What is the equation of this line ?
1
2
(a) 2𝑦 = 𝑥 − 10
(c)2𝑦 = −𝑥 − 5
4.
(b) 2𝑦 = −𝑥 + 10
(d) 2𝑦 = 𝑥 + 5
What is the slope of a line having inclination 450 ?
(a) 3
(b)
1
(c) 2
3
(d) 1
5.
For the angle in standard position, if the initial arm rotates 2800 in clockwise direction,
then in which quadrant will the terminal arm be ?
(a) Quadrant I
(b) Quadrant II
(c) Quadrant III (d) Quadrant IV
6.
Seg AB is the longest chord of a circle with centre P and radius 6.4 cm. What is the
length of chord AB ?
(a) 6.4 cm
(b) 9.6 cm
(c) 12.8 cm
(d) 13cm
7.
□ABCD is a cyclic quadrilateral. If the ratio of the angles of the quadrilateral is
3 ∶ 5 ∶ 6 ∶ 4 , then what is the value of ?
(a) 30
(b) 50
(c) 60
(d) 40
8.
In ∆PQR, ∠Q = 900, ∠P = 600. If PR = 36 cm, what is the length of side PQ ?
(a) 12cm
9.
10.
(b) 15cm
(c) 18cm
(d) 18 3cm
A line is drawn parallel to side BC of ∆ABC intersecting AB in X and AC in Y.
If AB = 4BX and YC = 2 cm, then what is the length of AC ?
(a) 8 cm
(b) 6 cm
(c) 4 cm
(d) 2 cm
What is the point of concurrence of the altitudes of a triangle known as ?
(a) Circumcentre
(b) Incentre
(c) Orthocentre
(d) Centroid
P.T.O.
I PRELIM EXAM 2014-15
ALGEBRA M.C.Q. Test
1.
If the 11th term and the 14th term of an AP are 23 and 29 respectively, what is the
common difference?
(a) 1
(b) 2
(c) 3
(d) 4
2.
What is the value of k, if one root of the quadratic equation 𝑘𝑥 2 − 24𝑥 + 42 = 0
is 4 + 2 ?
(a) 3
(b) -3
(c) 14
(d) 4
3.
What is the value of x, if the arithmetic mean between x and 57.4 is 53?
(a) 48.6
(b) 46.8
(c) 49.6
(d) 49.8
4.
The points (8,0) and (0,-6) lie on the graph of the equation ax-by =24. What are the
values of a and b respectively?
(a) 3, 4
(b) -3, 4
(c) 3, -4
(d) -3, -4
5.
What is the value of 𝐷𝑥 for the simultaneous equations 3𝑥 − 2𝑦 = 3 and 2𝑥 + 𝑦 = 16?
(a) 42
(b) -42
(c) 35
(d) -35
6.
With the help of which of the following can the median of frequency distribution
be found graphically?
(a) Histogram
(b) Bar diagram (c) Frequency polygon (d) Ogive curves
7.
Which of the following is the formula to find mode?
(a) 𝐴 +
(c) 𝐿 +
𝑓𝑖 𝑑𝑖
(b) 𝐴 +
𝑓𝑖
𝑁
2
− 𝑐𝑓. ×
ℎ
𝑓
(d) 𝐿 +
𝑓𝑖 𝑢 𝑖
𝑓𝑖
×ℎ
𝑓𝑚 − 𝑓1
2𝑓𝑚 − 𝑓1 − 𝑓2
×ℎ
8.
Three coins are tossed. What is the number of sample points in the event of getting at
least one tail?
(a) 3
(b) 5
(c) 6
(d) 7
9.
A dice is thrown. C is the event of getting a multiple of 2. Write 𝑛 𝑠
(a) 6
(b) 4
(c) 3
(d) 2
10.
What are the roots of the quadratic equation 𝑥 2 +x =30?
(a) 5,6
(b) -5,-6
(c) -5,6
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(d) 5,-6
Std. X
Set. C
I PRELIM EXAM 2014-15
GEOMETRY M.C.Q. Test
Marks : 20
Time: 30 min.
1.
∆𝐴𝐵𝐶 is inscribed in a circle in which BC = 6cm, AB = 8cm and ∠𝐵 = 900, then what is
the radius of the circle ?
(a) 8.5 cm
(b) 8 cm
(c) 7.5 cm
(d) 5 cm
2.
How many tangents can a circle have ?
(a) One
(b) Two
(c) One and only one
(d) Infinitely many
3.
For the angle in standard position, if the initial arm rotates 1700 in anticlockwise
direction, then in which quadrant will the terminal arm be ?
(a) Quadrant I
(b) Quadrant II
(c) Quadrant III
(d) Quadrant IV
4.
What is the slope of a line having inclination 300 ?
(a) 3
(b)
1
3
(c)
1
2
(d) 2
5.
The slope of a line is 4 and the 𝑦-intercept is −3. What is the equation of this line ?
(a) 𝑦 = 4𝑥 − 3
(b) 𝑦 = 4𝑥 + 3
(c) 𝑦 = − 4𝑥 − 3
(d) 𝑦 = −4𝑥 + 3
6.
What is the point of concurrence of the altitudes of a triangle known as ?
(a) Circumcentre
(b) Incentre
(c) Orthocentre
(d) Centroid
7.
A line is drawn parallel to side BC of ∆ABC intersecting AB in X and AC in Y.
If AB = 4BX and YC = 2 cm, then what is the length of AC ?
(a) 8 cm
(b) 6 cm
(c) 4 cm
(d) 2 cm
8.
□ABCD is a cyclic quadrilateral. If the ratio of the angles of the quadrilateral is
3 ∶ 5 ∶ 6 ∶ 4 , then what is the value of ∠𝐴
(a) 30
(b) 50
(c) 60
(d) 40
9.
Seg AB is the longest chord of a circle with centre P and radius 6.4 cm. What is the
length of chord AB ?
(a) 6.4 cm
(b) 9.6 cm
(c) 12.8 cm
(d) 13cm
10. For the angle in standard position, if the initial arm rotates 2800 in clockwise direction,
then in which quadrant will the terminal arm be ?
(a) Quadrant I
(b) Quadrant II
(c) Quadrant III
(d) Quadrant IV
P.T.O.
I PRELIM EXAM 2014-15
ALGEBRA M.C.Q. Test
1.
A die is thrown. What is the probability of getting a prime number?
(a)
2.
(b)
6
1
(c)
3
1
(d)
2
2
3
A card is drawn at random from a well-shuffled pack of 52 playing cards. What is the
probability of getting a face card?
(a)
3.
1
4
(b)
13
3
13
If the value of the determinant
(a) 6
(c)
(b) -6
4
𝑝
2
(d)
13
1
13
5
is 58, what is the value of p?
7
(c) 8
(d) -8
4.
The values of mean and mode for a certain frequency distribution are 32 and 29
respectively. What is the value of the median?
(a) 31
(b) 30.5
(c) 30
(d) 29.5
5.
Which of the following is the formula to find mode?
(a) 𝐴 +
(c) 𝐿 +
𝑓𝑖 𝑑𝑖
(b) 𝐴 +
𝑓𝑖
𝑁
2
− 𝑐𝑓. ×
ℎ
𝑓
(d) 𝐿 +
𝑓𝑖 𝑢 𝑖
𝑓𝑖
×ℎ
𝑓𝑚 − 𝑓1
2𝑓𝑚 − 𝑓1 − 𝑓2
×ℎ
6.
Which of the following is not a measure of central tendency?
(a) Mean
(b) Median
(c) Mode
(d) Standard deviation
7.
What is the sum of the roots of the quadratic equation 3𝑥 2 − 5𝑥 + 9 = 0?
(a) 3
(b) 9
(c)
5
3
(d) -
5
3
8.
If one root of the quadratic equation 2𝑥 2 − 𝑘𝑥 − 30 = 0 is 2.5, what is the value of k ?
(a) -5
(b) 5
(c) -7
(d) 7
9.
The class mark of the class 20 − 29
(a) 24.5
(b) 14.5
(c) 18
10.
(d) 0.25
If for an AP, 𝑡8 = -25 and 𝑡24 = - 89, what is the value of 𝑡16 ?
(a) – 56
(b) - 57
(c) – 58
(d) – 60
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