CIE Mathematics Paper-1: Specimen Questions 67 - 68 of 175

Question number: 67

Short Answer Question▾

Write in Short

There are approximately 1000 divisor lines on a road in between 12 kilometers distance. Solve for number of divisors in 6500 meters distance.

(b) Jot down answer in standard form.

Explanation

Here, 1000 divisor lines on a road in between 12 kilometers distance.

So, 12000 meters = 1000 divisors

6500 meters =? Divisors

So, 1000×650012000=541.667divisorsin6500metersdistance.

(b) Standard form of 541.667.

So, for making standard form we need to shift decimal point from right to left two times.

So, it will be: 5.41667×102 .

Question number: 68

Essay Question▾

Describe in Detail

A ramp from a parking to a shopping mall slopes upward at an angle of 220 to the horizontal. The length of the slope is 15 meters. Find difference in height h between the parking and the shopping mall. Give answer in meters.

A triangle having angle of 220 to the horizontal

A triangle having angle of 220 to the horizontal

Find the difference in height between the parking and the mall

Explanation

Here, as given angle A is 220 , AC = 15 m and we need to find length of BC which is difference of the height of mall and parking.

So, by using formula: sin220=BCAC0.375=h15h=15×0.375h=5.63m

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