CIE Mathematics Paper-1: Specimen Questions 157 - 158 of 175

Question number: 157

Short Answer Question▾

Write in Short

Roomy borrows $7000 from a loan company for his new business. The loan company charges simple interest of 5% per year. How much interest will Roomy pay after 4 years?

Explanation

Here, Roomy borrows loan of $7000 for 5% simple interest per year.

So, here, Price P = $7000, Rate (R) = 5 % per annum and Time (T) = 4 years.

So, by using the formula of simple interest =PRT100=7000×5×4100=1400$for4years .

Question number: 158

Essay Question▾

Describe in Detail

Solve (6.861.17×2.59)3.73

(a) (i) Write the above expression with each number rounded to two significant figure.

(ii) Use answer to find an estimate for the value of the expression.

(b) Find value of the original expression. Give your answer correct to 2 decimal places.

Explanation

Here,

(a) Here, expression is (6.861.17×2.59)3.73 .

Now, by rounding each number to two significant figures:

  • So, 6.86 will be 6.9 because after 8 there is 6 which is greater than 5, so 8 will be rounded and be 9.
  • 1.17 will be 1.2 because after 1 there is 7 which is greater than 5, so 1 will be rounded and be 2.
  • 2.59 will be 2.6 because after 5 there is 9 which is greater than 5, so 5 will be rounded and be 6.
  • 3.73 will be 3.7 because after 7 there is 3 which is less than 5, so 7 will remain as it is.

So, expression will be like: 6.91.2×2.63.7 .

(b) Here, answered expression after changing to two significant figures is: 6.91.2×2.63.7

  • So, it will be like: (6.91.2×2.6)÷3.7
  • So, as per BODMAS (Brackets, Order (Exponent), Division, multiplication, Addition, Subtraction) first of all we have to remove brackets and in brackets there are to calculations from which multiplication will take place first: (6.93.12)÷3.7.
  • Now, in brackets subtraction will be: 3.78÷3.7
  • At last, division will be: 1.022.

(c) Here, original expression is: (6.861.17×2.59)3.73 .

  • So, it will be like: (6.861.17×2.59)÷3.73
  • So, as per BODMAS (Brackets, Order (Exponent), Division, multiplication, Addition, Subtraction) first of all we have to remove brackets and in brackets there are to calculations from which multiplication will take place first: (6.863.0303)÷3.73.
  • Now, in brackets subtraction will be: 3.8297÷3.73
  • At last, division will be: 1.028.

Now, correct it to two decimal places we will get: 1.03 because there is 8 after digit 2, which is greater than 5, so 2 will be rounded and be 3.

Note: two decimal places means two digits after decimal point.

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