CIE Mathematics Paper-1: Specimen Questions 139 - 141 of 175

Question number: 139

Essay Question▾

Describe in Detail

Simplify

(a) (1P)0

(b) q4×q7 ,

(c) (r2)3

Explanation

Here,

(a) (1P)010P0=11=1 Because 0 power always gives value 1.

(b) q4×q7q4+7=q11 Because multiplication of two terms with same base will add its exponents which is first exponent rule.

(c) (r2)3r2×3=r6 Because it is an exponent expression that is raised to a power, so we can multiply the exponent and power which is second exponent rule.

Question number: 140

Short Answer Question▾

Write in Short

Londons average Rainfall of each month

Showing the average Rainfall of London of every month

Month

Jan

Feb

Mar

Apr

May

June

July

Aug

Sep

Oct

Nov

Dec

Rain fall (mm)

52

39

35

43

50

43

41

48

49

71

63

53

(a) Which month has the lowest average Rainfall?

(b) Find the difference between the average Rainfall in February and October.

Explanation

Here,

(a) Here, as we can see in the table, lowest average Rainfall is in March which is 35mm.

(b) Here, average rainfall of February is 39 mm and October is 71 mm.

So, difference between both is: 7139=32mm , which means in October rainfall is 32 mm higher than in February.

Question number: 141

Short Answer Question▾

Write in Short

The line with equation 5y=2x+8a passes through the point (-11, 2). Find k.

Explanation

Here, equation is 5y=2x+8a and point passing through it is (-11, 2).

  • So, (x, y) = (-11, 2) put it in the equation: 5y=2x+8a

5(2)=2(11)+8a

10=22+8a

8a=32

a=4

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