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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Algebraic Expressions › Factorisation Worksheet-4

Factorisation Worksheet-4

Factorisation Worksheet-4

 

  1. If then the value of is:

(a) 144                (b) 169                (c) 234               (d) 269

 

  1. The value of (1002)2 [using expansion] is:

(a) 10004004                                (b) 1044

(c) 1004400                                  (d) 1004004

 

  1. Factors of ax + by + bx + az + ay + bz are:

(a) (bx + ay) (ax + by)                 (b) (a + b) (2x + 2y + 2z)

(c) (x + y + z) (a + b)                   (d) None of these

 

  1. Factorisation of xy – pq + qy – px is _____.

(a) (y – p) (x + q)                         (b) (y – p) (x – q)

(c) (y + p) (x + q)                         (d) (y + p) (x – q)

 

  1. Evaluation of (8.6)2 – (1.4)2 is _____.

(a) 70                  (b) 72                 (c) 60                  (d) 40

 

  1. One factor of is ______.

(a)                                      (b)

(c)                                        (d)

 

  1. If (x2 + 3x + 5) (x2 – 3x + 5) = m2 – n2, then m = ______.

(a) x2 – 3x                                      (b) 3x

(c) x2 + 5                                        (d) Both x2 – 3x and 3x

 

(a) 0.13              (b) 0.74              (c) 0.87              (d) 1

 

  1. The factors of are ______.

(a)

(b)

(c)

(d) Both and

 

  1. a3 + b2 + c3 –3abc is divided by (a + b + c), then quotient is _____.

(a) (a2 + b2 + c2)

(b) (a2 + b2 + c2 + 2ab + 2bc + 2ac)

(c) (a2 + b2 + c2 – ab – bc – ac)

(d) (a2 + b2)

 

  1. The value of (1005)3 is ______.

(a) 10000000                               (b) 11001000

(c) 1015075125                              (d) 10050000

 

  1. Factorize: a4b – ab4 ______.

(a) ab(a3 + b3)                              (b) ab(a – b) (a2 + ab + b2)

(c) ab(a + b) (a2 – ab + b2)        (d) ab(a2 – b2)

 

  1. The factors of 15x2 – 26x + 8 are ______.

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

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

 

  1. The real factors of x2 + 4 are

(a) (x2 + 2) (x2 – 2)                      (b) (x + 2) (x – 2)

(c) Does not exist                          (d) (x + 1) (x – 1)

 

  1. If a = 16 and b = 5. The value of is ______.

(a)                  (b)                  (c)             (d)

 

Answer Key:

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