CIE Mathematics Paper-1: Specimen Questions 23 - 25 of 175

Question number: 23

Short Answer Question▾

Write in Short

y=a2+2ab+b2

(a) Find the value of y when a=7,b=4 .

(b) Make “a” the subject of the formula.

Explanation

Here, equation is y=a2+2ab+b2, where, a=7,b=4.

(a) y=72+2(7)(4)+42=4956+16y=9.

(b) y=a2+2ab+b2ya2b2=2aba=y(a2+b2)2b.

Question number: 24

One Liner Question▾

Write in Brief

Hema reached at job at 08:50 and left at 18:05 . How long, in hours and minutes, did she spend at job?

Explanation

Here, Hema reached at job at 08:50andleftat18:05asperclockitmeans12:00+6:05, so from 9 to 12 means 3 hours, from 08: 50 to 9: 00 means 10 minutes, then another 6: 05 means 6 hours and 05 minutes.

So, she spends total of (3+6)hoursand(10+5)minutes=9hoursand15minutes.

Question number: 25

Essay Question▾

Describe in Detail

John buys 25 books for 15 . He sells all the books in the market for 75 cents each.

(a) Calculate the profit or loss he makes.

(b) Calculate the percentage profit or loss he makes on the cost price.

Explanation

Here, 25books=15

(a) He sells as 75 cent per 1 book.

As we know 1 euro = 100 cent

So, 15 euro =? cent

So, 15×100=1500cents.

So, John buys 25 books for 1500 cents (Cost price) and sells 25×75=1875cents (Selling Price).

So, here he gains profit because selling price is more than cost price.

So, profit=SPCP=18751500=375cents=3.75$

(b) Percentage of profit of cost price (1500) =375×1001500=25%

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