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Squares and square roots Questions

1.  Evaluate without using tables or calculators

Image From EcoleBooks.com  (4mks)

2.  Evaluate using reciprocals, square and square root tables only.

Image From EcoleBooks.com (3mks)

3.  Using a calculator, evaluate  Image From EcoleBooks.com (3mks)

 (Show your working at each stage)

 

4.  Use tables of reciprocals and square roots to evaluate

Image From EcoleBooks.com (3marks)

 

5.  Use tables to find;

 a) i) 4.9782

  ii) The reciprocal of 31.65

 b) Hence evaluate to 4.S.F the value of

4.97821/31.65  

ecolebooks.com

 

6.  Use tables of squares, square roots and reciprocals to evaluate correct to 4 s.f

Image From EcoleBooks.com   3 – 2

  0.0136 (3.72)

 

 

7.  Without using mathematical tables or calculator, evaluate: 153 x 1.8
giving

your answer in standard form 0.68 x 0.32

 

 

 

Squares and square roots Answers

 

1.

Image From EcoleBooks.com

 

 

 

 

 

 

M1

 

 

 

 

M1

 

 

 

M1

 

 

 

A1

 
  

04

 

2.

19.901×102

19.901+1=1991.1

1991.1

0.07245

1991.1 x 0.1380 x 102

= 165.77

M1

 

 

M1

 

A1

For  square

 

 

For rec

  

03

 

3.

Image From EcoleBooks.com

M1

 

 

M1

 

 

A1

Image From EcoleBooks.com

  

03

 

4.

 Image From EcoleBooks.com

B1

 

 

B1

 

B1

Both reciprocals

 

 

5.  (a) (i) 24.78

(ii) 0.0316

(b) 24.78 – 0.0316 = 24.75  M1  A1

 

 

6.   3 x 1 – 2x 1

1.36 x 10-2 13.84

 

  3 x 8.575 – 2 x 0.07224

 = 25.725 – 0.14448

  = 25.58052

  = 25.58

 

7.   153 x 1.8

0.68 x 0.32

 


158 x 1.8 X 10000

0.68 x 0.32 X 10000

 


158 x 18000 = 9 x 9000

68 x 32 4 x 16

 


9 x 9 x 103 = 9 x 1 03/2

 

4 x 16 8

 

1.125 x 10 3/2


 




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