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Reciprocals Questions

1.  Use reciprocal, square and square root tables to evaluate, to 4 significant figures, the expression.Image From EcoleBooks.com   (3 mks)

 

1.  Use reciprocal table to evaluate giving your answer to three significant figures.

 10 – 3

 0.834 129.64

 

2.  Find the reciprocals of the numbers 807 and 0.0591;

Hence evaluate 5 + 4

807 0.0591

3.  Use reciprocal tables to find the value of:  

2 + 5  

0. 6638 0.833

 

 

4.  Find without using a calculator, the value of :

ecolebooks.com

12 0.0625 – 12.4 ÷ 0.4 x 3

1/8 of 2.56 + 8.68  

5.  Use tables of cubes, cube roots and reciprocal to find the value of:-

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4 +  5

(8.68)³ 34.46

 

6.  Determine the value of a for which 1 + 1 = 1

127 11.5 a Use mathematical tables only  

 

7.  Use tables of squares, square roots and reciprocals only to find the value of x correct

to 4 significant figures:

 

 

8.  Use reciprocal tables to find the value of  

 

 

 

9.  Use tables of reciprocals only to work out;

3 + 13

  0.6735 0.156  

 

10.  Using tables of squares, cube roots and reciprocals find the value of x.

Image From EcoleBooks.comImage From EcoleBooks.com  1 = 1 – 1

x 0.002593 1.28

Reciprocals Answers

1

Image From EcoleBooks.com

Image From EcoleBooks.com

Image From EcoleBooks.com

4.3509

B1

 

B1

 

B1

reciprocal

 

square

 

square root

 

2.  10 1 – 3 1

 0.834 129.64

 

  (10 x 1.199) – (3 x 0.007713)

  11.99 – 0.923139

  11.966861

  12.0

 

3.  807 0.001239

0.0591 16.92

5(0.001239) + 4(16.92)

= 67.69

 

4.  1/3
 2 x 1.5065 + 5 x 1.2004

 

1/3 (3.013 + 6.002) (0.3333)

 

= 9.015 x 0.3333

= 3.005 (3 dp)

 

5.   12 x 0.25 – 12.4 ÷ 0.4 x 3


 ⅛ of 2.56 + 8.68

  3 – 31 x 3

  0.32 + 8.68

  -90

  9

 = -10

 

6.   1/3  

4 + 5

(8.68)3 34.46

4 + (0.1451)1/3

653.97

4(0.1529) + 0.5255

0.6116 + 0.5255 = 1.1371

 

7.  1 = 0.007874 + 0.0869

a

  = 0.9483

a = 10.55

 

 

8.  3.5932 = 12.91

 1 + 2 1

  1.291 x 10 5.26 x 10-1

= (0.7746 x 10-1) +290.1901 x 10)

= 0.07746

+ 3.802

  3.87946

 

3.87946 = 3.879

 

= 1.9695

= 1.970(4s.f)

9.  No s.f rec

0.6638 6.638 x 10-1 0.1500 x 10 = 1.5000

0.833 8.33 x 10-1 0.1200 x 10 = 1.200

= 1/3 (2 (105) + (1.2))

= 1/3 (3 + 6)

= 1/3 x 9 = 3

 

10.  3×1.485 + 13×6.410

  = 4.455 + 83.33

 = 87.785

 

ALT

30/6.735 + 130/1.56 = 30 x 0.1485 + 130x 0.641

 = 4.455 + 83.33

 = 87.785


 




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