Category: QUADRATIC EXPRESSIONS

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K.C.S.E Mathematics Q & A - MODEL 2001PP1QN06

21/7/2020

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Form 3 Mathematics

Simplify the expression

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K.C.S.E Mathematics Q & A - MODEL 2000PP2QN12

14/7/2020

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Form 3 Mathematics

Find the value of x which satisfy the equation

5^2x – 6 × 5^x + 5 = 0

Answer

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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN02

8/7/2020

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Form 3 Mathematics | Topical Questions and Answers

Simplify the expression

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Related Quadratic Expressions

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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN12

30/6/2020

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Form 3 Mathematics

Solve the equation

8s² + 2s – 3 = 0
Hence solve the equation
8 sin²Ө + 2sinӨ - 3 = 0 for 0⁰ ≤ θ ≤ 180⁰

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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN12

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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN22

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

If x² + y² = 29 and x + y = 3

(a) Determine the values of
- (i) x² + 2xy + y²
- (ii) 2xy
- (iii) x² – 2xy + y²
- (iv) x – y
(b) Find the value of x and y

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1999PP1QN22

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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN15

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

By substituting triangle for (2 – 0) or otherwise simplify the expression (x + 2 –a)² + (2 – a-x)² – 2(x- 2 + a) (x + 2 – a). Give your answer in terms of a and as a product of two squares.

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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN15

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K.C.S.E Mathematics Q & A-MODEL 1997PP1QN20

20/5/2020

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(a) Draw the graph of y = 6 + x - x², taking integral value of x in -4 ≤ x ≤ 5. (The grid is provided. Using the same axes draw the graph of y = 2 – 2x

(b) From your graphs, find the values of X which satisfy the simultaneous equations y = 6 + x - x²; y = 2 – 2x

(c) Write down and simplify a quadratic equation which is satisfied by the values of x where the two graphs intersect.

KNEC MARKING SCHEME

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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN2

13/5/2020

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Factorize completely 3x²– 2xy – y² ( 2 marks)

MARKING SCHEME

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K.C.S.E Mathematics Q & A-MODEL 1995PP1QN8

11/5/2020

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Simplify completely

\[\frac{3x^{2}- 1}{x^{2}- 1} - \frac{2x + 1}{x + 1}\]

3 MARKS

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K.C.S.E Mathematics Q & A-MODEL 1995PP2QNQ2

11/5/2020

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Solve the simultaneous equations

2x – y = 3
x² – xy = -4

(4 marks)

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K.C.S.E Mathematics Q & A-MODEL 1995PP1QN21

10/5/2020

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(a) Construct a table of values for the function y = x² – 6 for -3 < x <4
( 2 marks)

(b) By drawing a suitable line on the same grid estimate the roots of the equation x² + 2x – 2 =0
( 3 marks)

5 marks

MARKING SCHEME

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K.C.S.E Mathematics Q & A-MODEL 1995PP1QN16

8/5/2020

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A bus takes 195 minutes to travel a distance of ( 2x + 30) km at an average speed of ( x – 20) km/h. Calculate the actual distance traveled. Give your answers in kilometres.

( 3 marks)

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

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Form 3 Mathematics

6

Form 3 Mathematics

12

Form 3 Mathematics | Topical Questions and Answers

2

Related Quadratic Expressions

Form 3 Mathematics

12

Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

22

Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

15

Factorize completely 3x2– 2xy – y2 ( 2 marks)

Simplify completely

\[\frac{3x^{2}- 1}{x^{2}- 1} - \frac{2x + 1}{x + 1}\]

Solve the simultaneous equations

2x – y = 3 x2 – xy = -4

(a) Construct a table of values for the function y = x2 – 6 for -3 < x <4 ( 2 marks) (b) By drawing a suitable line on the same grid estimate the roots of the equation x2 + 2x – 2 =0 ( 3 marks)

A bus takes 195 minutes to travel a distance of ( 2x + 30) km at an average speed of ( x – 20) km/h. Calculate the actual distance traveled. Give your answers in kilometres.

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Factorize completely 3x²– 2xy – y² ( 2 marks)

2x – y = 3
x² – xy = -4

(a) Construct a table of values for the function y = x² – 6 for -3 < x <4
( 2 marks)

(b) By drawing a suitable line on the same grid estimate the roots of the equation x² + 2x – 2 =0
( 3 marks)