# ICSE Class 10 Mathematics Previous Year Question Paper 2012

Mathematics is one of the crucial and most scoring subjects in ICSE Class 10. TopperLearning presents ICSE Class 10 Mathematics study materials, enabling students to score well in the board examination. The ICSE Class 10 Maths syllabus is diverse and includes challenging concepts like Value Added Tax, Ratio and Proportion, Quadric Equations, and others that require effective study materials.

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**Question 1**

If (x + 2) is a factor of the polynomial x^{3} - kx^{2} - 5x + 6 then the value of k is: [1]

- 1
- 2
- 3
- -2

**Question 2**

The solution set of the inequation x - 3 ≥ - 5, x ∊ R is: [1]

- {x : x > - 2, x ∊ R}
- {x : x ≤ -2, x ∊ R}
- {x : x ≥ -2, x ∊ R}
- {-2, -1, 0, 1, 2}

**Question 3**

The product AB of two matrices A and B is possible if: [1]

- A and B have the same number of rows.
- The number of columns of A is equal to the number of rows of B.
- The number of rows of A is equal to the number of columns of B.
- A and B have the same number of columns.

**Question 4 **

If 70, 75, 80, 85 are the first four terms of an Arithmetic Progression. Then the 10^{th} term is: [1]

- 35
- 25
- 115
- 105

**Question 5**

The selling price of a shirt excluding GST is Rs. 800. If the rate of GST is 12% then the total price of the shirt is: [1]

- Rs. 704
- Rs. 96
- Rs. 896
- Rs. 848

**Question 6**

Which of the following quadratic equations has 2 end 3 as its roots? [1]

- x
^{2}- 5x + 6 = 0 - x
^{2}+ 5x + 6 = 0 - x
^{2}- 5x - 6 = 0 - x
^{2}+ 5x -6 = 0

**Question 7 **

If x, 5.4, 5, 9 are in proportion then x is: [1]

- 3
- 9.72
- 25
- 25/3

**Question 8 **

Mohit opened a Recurring deposit account in a bank for 2 years. He deposits Rs. 1000 every month and receives Rs. 25500 on maturity. The interest he earned in 2 years is: [1]

- Rs. 13500
- Rs. 3000
- Rs. 24000
- Rs. 1500

**Question 9 **

In the given figure AB = 24 cm, AC = 18 cm, DE = 12cm, DF = 9 cm and ∠BAC = ∠EDF. Then ΔABC ~ ΔDEF by the condition: [1]

- AAA
- SAS
- SSS
- AAS

**Question 10**

[1]

**Question 11 **

The polynomial x^{3} - 2x^{2} + ax + 12 when divided by (x + 1) leaves a remainder 20, then 'a' is equal to:[1]

- - 31
- 9
- 11
- - 11

**Question 12 **

In an Arithmetic Progression (A.P.) if, first term is 5, common difference is - 3 and then n^{th} term is - 7, then n is equal to:[1]

- 5
- 17
- - 13
- 7

**Question 13**

In the given figure PQ is parallel to TR, then by using condition of similarity: [1]

**Question 14**

If a, b, c, and d are proportional then is equal to: [1]

**Question 15**

The first four terms of an Arithmetic Progression (A. P.), whose first term is 4 and common difference is -6, are: [1]

- 4, -10, -16, -22
- 4, 10, 16, 22
- 4, -2, -8, -14
- 4, 2, 8, 14

**Question 16**

One of the roots of the quadratic equation x^{2} – 8x + 5 = 0 is 7.3166. The root of the equation correct to 4 significant figures is: [1]

- 7.3166
- 7.317
- 7.316
- 7.32

**Question 17**

(x + 2) and (x + 3) are two factors of the polynomial x^{3} + 6x^{2} + 11x + 6. If this polynomial is completely factorised the result is: [2]

- (x – 2)(x + 3)(x + 1)
- (x + 2)(x – 3)(x – 1)
- (x + 2)(x + 3)(x – 1)
- (x + 2)(x + 3)(x + 1)

**Question 18**

The sum of the first 20 terms of the Arithmetic Progression 2, 4, 6, 8,....is : [2]

- 400
- 840
- 420
- 800

**Question 19**

The solution set on the number line of the linear inequation: [2]

2y – 6 < y + 2 ≤ 2y, y ∈ N is

**Question 20 **

If *x, y, z* are in continued proportion then (y^{2} + z^{2}): (x^{2} + y^{2}) is equal to: [2]

*z : x**x : z**zx**(y + z) : (x + y)*

**Question 21**

- Rs. 5040
- Rs. 6100
- Rs. 6272
- Rs. 6160

**Question 22**

**Question 23**

- ∆OAB, ∆OBC
- ∆COD, ∆AOB
- ∆ADB, ∆ACB
- ∆COD, ∆COB

- 1 : 3
- 1 : 2
- 2 : 3
- 3 : 1

- x = 4.6, y = 7
- x = 7, y = 7
- x = 6.5, y = 7
- x = 6.5, y = 2

**Question 24**

- 6 litres
- 12 litres
- 18 litres
- 24 litres

**Question 25**

- Rs. 1200
- Rs. 600
- Rs. 1000
- Rs. 1600

- Rs. 25000
- Rs. 24000
- Rs. 26000
- Rs. 23000

- Rs. 27000
- Rs. 25000
- Rs. 26000
- Rs. 28000

- 18
- 30
- 12
- 6

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