CIE Mathematics Paper-1: Specimen Questions 83 - 85 of 175

Question number: 83

Short Answer Question▾

Write in Short

Solve the equations

(a) 3x+9=18 ,

(b) 7(y4)=42

Explanation

Here,

(a) 3x+9=183x=9x=3.

(b) 7(y4)=42y4=6y=10.

Question number: 84

Short Answer Question▾

Write in Short

A wire is 200 centimeters long. It has to be cut into equal lengths of 813 centimeters. How many of these lengths can be cut from this wire?

Explanation

Here, wire is of 200 centimeters and it cut into equal length of 813 centimeters that means 253=8.33centimeters .

So, 1 wire = 200 centimeters

Then? wires = 8.33 centimeters

2008.33=24.009~24wires.

Question number: 85

Essay Question▾

Describe in Detail

Solve:

A fishing boat goes from one place to another

A fishing boat goes from one place to another

Find below given calculations using given angles of figure

The diagram shows the route of a fishing boat. The boat sails from A to B on a bearing 1680 and then from B to C on a bearing 780 , AB = BC.

(a) How is angle ABC = 900 .

(b) Solve bearing of C from A.

Explanation

Here, the boat sails from A to B on a bearing 1680 and then from B to C on a bearing 780 , AB = BC. Let take North = N

(a) Here,

N1AB = 1680 and N3BC = 780.

Now, DAB = 1800N1AB=18001680=120

Now, DAB and ABN3 will be alternate interior angles which are of same angles: DAB=ABN3 .

So, ABN3 = 120

Now, ABC=N3BC+ABN3=780+120=900

(b) Here, as given AB = BC and ABC=900 .

  • So, from A to C bearing will be N1AC=900.
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