## CBSE Class 10 - Maths - Very Short Answer Based Questions

(Solved Worksheet-1)

**Q1**: What is the maximum no. of factors of a prime number?

**Q2**: What is the L.C.M of x and y if y is a multiple of x?

**Q3**: Find the zeroes of the polynomial x²-1.

**Q4**: For what value of ‘k’ the pair of equations x-ky+4=0 and 2x-4y-8=0 is inconsistent?

**Q5**: Determine k, so that the equation x²-4x+k=0 has no real roots.

**Q6**: Which term of the sequence 4,9,14...is 124?

**Q7**: Find the sum of first 10 multiples of 5.

**Q8**: If θ = 45°, find the value of sec² θ.

**Q9**: The ordinate of point A on y-axis is 5 and B has co-ordinates (-3, 1). Find the length of AB.

**Q10**: Find the area of ΔABC where A (2,3), B (-2,1) and C (3,-2)

**Q11**: Are two triangles with equal corresponding sides always similar?

**Q12**: The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 8 cm, then the value of AB is ____.

**Q13**: How many tangents can be drawn to a circle from a point outside the circle?

**Q14**: If the angle between two radii of a circle is 130°, then what is the angle between the tangents at the end points of radii at their point of intersection?

**Q15**: A wire in the shape of square of perimeter 88 cm. is bent so as to form a circular ring. Find the radius of the ring.

**Q16**: To divide the line segment AB in the ratio 2:3, a ray AX is drawn such that ∠BAX is acute, AX is then marked at equal intervals. Find minimum number of these marks.

**Q17**: Write a sample space when two coins are tossed simultaneously?

**Q18**: What is the surface area of a cube whose volume is 64 cm³?

**Q19**: Give the empirical relation between median, mode and mean.

**Q20**: If the median of a series exceeds the mean by 3, find by what number the mode exceeds its mean?

**Answers:**

**Answer 1**: 2 (self and 1)

**Answer 2**: y

**Answer 3**: +1, -1

x²-1 = 0

(x + 1)(x - 1) = 0

⇒ x = -1 or x = 1

**Answer 4**: k = 2

**Answer 5**: k > 4

D < 0 for no real roots

b² - 4ac < 0

b² - 4ac < 0

(-4)² - 4(1)(k) < 0

16 -4k < 0

4 - k < 0

k > 4

**Answer 6**: n = 25

**Answer 7**: S = 275

**Answer 8**: 2

**Answer 9**: 5 units

A(0, 5) and B(-3, 1)

AB = √(-3 - 0)² + (1 - 5)² = √(9 + 16) = √25

AB = 5 units

**Answer 10**: 11 square units

**Answer 11**: No, Included angles should be equal.

**Answer 12**: 12 cm

**Answer 13**: Two

**Answer 14**: 50°

Angle at the point of intersection of tangents = 180° — 130° = 50°.

**Answer 15**: 14 cm

**Answer 16**: Minimum number of marks = 2 + 3 = 5

**Answer 17**: S = { HH,HT,TH,TT}

**Answer 18**: 16 cm²

**Answer 19**: Mode = 3 median – 2 Mean

**Answer 20**: Exceeds by 9

Given, Median = Mean + 3

We know that, Mode = 3 Median -2Mean

= 3 (Mean + 3)-2Mean

⇒ Mode = Mean +9

Hence Mode exceeds Mean by 9.

**☞See also:**

Help books for Maths are:

1. Oswaal CBSE Question Bank Class 10 Mathematics Book Chapterwise & Topicwise Includes Objective Types & MCQ's (For March 2020 Exam)

2. Educart CBSE Sample Question Papers Class 10 Mathematics (Standard) For 2020 Exam

3. CBSE U-Like Sample Paper (With Solutions) & Model Test Papers (For Revision) in Mathematics for Class 10 for 2020 Examination

Maths Term 1 Sample Question Paper (2019-20)

Maths Term 1 Sample Question Paper (2019-20)

Maths Half Yearly Sample Question Paper (Set-1) (2019-20)

Maths Preboard Sample Question Paper Set-1(2019-20)

Maths Preboard Sample Question Paper (Set-2) (2019-20)

Maths Preboard Sample Question Paper (Set-3) (2019-20)

1 Marks Questions Asked in Previous Years Examination Papers

Managing Time in Solving Maths Question Paper (2019-2020)

1. Oswaal CBSE Question Bank Class 10 Mathematics Book Chapterwise & Topicwise Includes Objective Types & MCQ's (For March 2020 Exam)

2. Educart CBSE Sample Question Papers Class 10 Mathematics (Standard) For 2020 Exam

3. CBSE U-Like Sample Paper (With Solutions) & Model Test Papers (For Revision) in Mathematics for Class 10 for 2020 Examination

Maths Term 1 Sample Question Paper (2019-20)

Maths Term 1 Sample Question Paper (2019-20)

Maths Half Yearly Sample Question Paper (Set-1) (2019-20)

Maths Preboard Sample Question Paper Set-1(2019-20)

Maths Preboard Sample Question Paper (Set-2) (2019-20)

Maths Preboard Sample Question Paper (Set-3) (2019-20)

1 Marks Questions Asked in Previous Years Examination Papers

Managing Time in Solving Maths Question Paper (2019-2020)

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