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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Algebraic Expressions › Factorisation Worksheet-6

Factorisation Worksheet-6

Factorisation Worksheet-6

 

  1. The value of 453  – 653 + 203 is ______.

(a) 175500         (b) –175500      (c) 170000        (d) –170000

 

  1. If the factors of a2 + b2 + c2 + 2(ab + bc + ca) are (a + b + mc) and (a + b + nc), then the value of m + n is ______.

(a) 0                    (b) 2                    (c) 4                    (d) 6

 

  1. is equal to ______.

(a) 1                     (b) 2                    (c) 689               (d) 3

 

  1. The factors of x2 + xy – 2xz – 2yz are _____.

(a) (x – y) (x + 2z)                        (b) (x + y) (x – 2z)

(c) (x – y) (x – 2z)                        (d) (x + y) (x + 2z)

 

  1. The value of (997)2 is

(a) 994000       (b) 994009       (c) 990000       (d) 994900

 

  1. The factors of a2 + b – ab – a are _____.

(a) (a – 1) (a – b)                          (b) (a + b) (a – 1)

(c) (a + 1) (a – b)                          (d) (a + 1) (a + 2b)

 

  1. The value of when is _____.

(a) 76                  (b) 70                 (c) 75                  (d) 72

 

  1. One of the factors of a3(b – c)3 + b3 (c – a)3 + c3 (a – b)3 is ____.

(a) a – b             (b) b – c             (c) c – a              (d) All of these

 

  1. The value of 8x3 + 27y3, if and is _____.

(a)            (b) 1                    (c) 0                    (d) 2

 

  1. One of the factors of x7 + xy6 is

(a) x2 + y2                                       (b) x

(c) Either x2 + y2 or x                  (d) Neither x2 + y2 nor x

 

  1. Factorisation of 25(x + y)2 – 36(x – 2y)2 is _____.

(a) (11x – 7y) (17y – x)                (b) (11x + 7y) (17y + x)

(c) (11x – 7y)2                               (d) (17y – x)2

 

  1. Factorisation of x4 + 25y4 – 10x2y2 is

(a) (x2 + 5y2)2   (b) (x2 + y2)2     (c) (x2 – 5y2)2   (d) (x2 – y2)2

 

  1. Factorisation of 15x2 – 26x + 8 is ____.

(a) (3x –4) (5x – 2)                     (b) (3x + 4) (5x + 2)

(c) (3x – 4)2                                  (d) (5x – 2)2

 

  1. The value of is _____.

(a) 0.52              (b) 1                    (c) 0.01              (d) 0.1

 

  1. The value of 81x2 – 90xy + 25y2 when x = 15, y = 27 is _____.

(a) 0                    (b) 1                    (c) 2                    (d) 3

 

  1. If then the value of is _____.

(a) 3842             (b) 3800            (c) 3840             (d) 3820

 

  1. The factors of 1 – p3 are _____.

(a) (1 – p) (1 + p + p2)                 (b) (1 + p) (1 – p – p2)

(c) (1 + p) (1 + p2)                        (d) (1 + p) (1 – p2)

 

  1. Factorise 6xy – 4y + 6 – 9x.

(a) (3x – 2)       (b) 2y + 3           (c) (3x + 2)        (d) (2 + 3y)

 

Answer Key:

(1)-b; (2)-b; (3)-b; (4)-b; (5)-b; (6)-a; (7)-a; (8)-d; (9)-a; (10)-c; (11)-a; (12)-c; (13)-a; (14)-b; (15)-a; (16)-a; (17)-a; (18)-a