Math Videos for Grade 10

Circles - Grade 10 (Question: 1622033649)

From a point P, 8 cm away from the center of the circle, a tangent PT of length 5 cm is drawn. Find the radius of the circle.

Circles - Grade 10 (Question: 1608181753)

From an external point P, tangents PA and PB are drawn to a circle with centre O. If \(\angle PAB = 50^0\), then find \(\angle AOB\).

A. 100 degree
B. 80 degree
C. 105 degree
D. 75 degree

Surface Area and Volume - Grade 10 (Question: 1608109381)

A shuttle cock used for playing badminton has the shape of a combination of:

A. a cylinder and a sphere
B. a cylinder and a hemisphere
C. a cone and a sphere
D. a frustum of a cone and a hemisphere

Triangles - Grade 10 (Question: 1608115686)

A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then the distance by which the top of the ladder would slide upwards on the wall is

A. 2.1 m
B. 1.8 m
C. 0.8 m
D. 0.4 m

NTSE_MAT - Grade 10 (Question: 1607318043)

If LOVE = 1316236, what is LIFE?

A. 131076
B. 131256
C. 131346
D. 132566

Probability - Grade 10 (Question: 1607171373)

The letter M, T, H and A are rearranged to form the word “MATH”. Find its probability.

A. 1/12
B. 1⁄4
C. 1/24
D. 1/16

Alphabet Problems - Grade 10 (Question: 1607272503)

If vowels are excluded, what is the 17th letter from the left of an English alphabet?

A. Q
B. S
C. T
D. V

Coordinate Geometry - Grade 10 (Question: 1614849678)

If O (p/3, 4) is the midpoint of the line segment joining the points P (-6, 5) and Q (-2, 3). The value of p is:

A. -12
B. 15
C. 8
D. 10

NTSE_MAT - Grade 10 (Question: 1607321331)

The larger of the two integers is 6/5 the smaller. If thrice the smaller is subtracted from three times the larger, the difference is 12, find the larger integer.

A. 24
B. 20
C. 42
D. 30

NTSE_MAT - Grade 10 (Question: 1607318432)

What time after 4’oclock will the hands of the clock be together for the first time?

A. 4:21.81
B. 4:20.81
C. 4:22.81
D. 4:23.81

Coordinate Geometry - Grade 10 (Question: 1608099919)

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively

A. (0, -5) and (2, 0)
B. (0, 10) and (-4, 0)
C. (0, 4) and (-10, 0)
D. (0, -10) and (4, 0)

Coordinate Geometry - Grade 10 (Question: 1608098450)

The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the

A. I quadrant
B. II quadrant
C. III quadrant
D. IV quadrant

Coordinate Geometry - Grade 10 (Question: 1608098281)

The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is:

A. 14
B. 28
C. 8
D. 6

Coordinate Geometry - Grade 10 (Question: 1608094488)

The distance between the points A (0, 6) and B (0, –2) is

A. 6
B. 8
C. 4
D. 2

Coordinate Geometry - Grade 10 (Question: 1608029751)

The ratio in which the line segment joining the points P (-3, 10) and Q (6, – 8) is divided by O (-1, 6) is:

A. 1:3
B. 3:4
C. 2:7
D. 2:5

Coordinate Geometry - Grade 10 (Question: 1608028708)

The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are

A. (3, 3)
B. (- 3, 3)
C. (3, – 3)
D. (-3,-3)

Venn Diagrams - Grade 10 (Question: 1607667626)

In a survey concerning the number of students preferred option of courses in a certain school, it was found out that 40 include Engineering, Law and Medical courses as their options, 56 in Engineering and Medical courses, 65 in Law and Medical courses, 60 in Engineering and Law courses, 94 in Engineering course, 111 in Law course. If there are 177 students in all, how many students preferred Medical courses only?

A. 32
B. 35
C. 38
D. 42

Venn Diagrams - Grade 10 (Question: 1607666130)

In a grade 10 class of 60 students, 42 like Math subject and 36 like Communication subject. How many like both?

A. 15
B. 16
C. 17
D. 18

Venn Diagrams - Grade 10 (Question: 1607665322)

The probability for the students from a certain Grade 10 class to pass the exam in Mathematics is 4/9 and for the subject English is 7/9. If none of the students fail both subjects and there are 4 students that passed both subjects, find the number of students from the school who took the examination.

A. 4
B. 8
C. 14
D. 18

Surface Area and Volume - Grade 10 (Question: 1608107628)

If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:

A. XYZ
B. 3XYZ
C. \(\sqrt{xyz}\)
D. \(\sqrt {3xyz}\)