CIE Mathematics Paper-1: Specimen Questions 118 - 120 of 175

Question number: 118

Short Answer Question▾

Write in Short

Mountain Mauna Loa’s height is 4169 meters in nearest thousand meters. What can be said about the height, H meters, of the Mountain Mauna Loa.

Explanation

Here, Mountain Mauna Loa’s height is 4169 meters.

  • So, nearest thousand meters can be 3169 m and 5169 m.
  • So, the statement about the height can be: 3169<H<5169.

Question number: 119

Essay Question▾

Describe in Detail

A sloping road makes an angle of 380 to the horizontal. The difference in height between upper-sided road and below sided road is 20 m. Find length of the slope.

A triangle having angle of 380 to the horizontal

A triangle having angle of 380 to the horizontal

Find the length of the slope by using given values of angle and height

Explanation

Here, as given angle A is 380 , BC = 20 m and we need to find length of AC which is the slope of road.

So, by using formula: sin380=BCAC0.616=20SS=200.616S=32.47m

Question number: 120

Short Answer Question▾

Write in Short

Solve the linear equations 3x+2yz=1,2x2y+4z=2and2x+y2z=0.

Explanation

Here,

Linear equations are those who have the unique solutions.

Equations are 3x+2yz=1(I)

2x2y+4z=2(II)

2x+y2z=0(III)

Now, add equation (II) into (I),

3x+2yz+2x2y+4z=12

5x+3z=1(IV)

Now, multiply equation (III) by 2 and add into (II),

2(2x+y2z)=04x+2y4z=0

2x2y+4z4x+2y4z=2+0

2x=2

x=1

Now, put x=1 into equation (IV),

5(1)+3z=1

3z=6

z=2

Now, put x=1 and z=2 into equation (I),

3(1)+2y(2)=1

3+2y+2=1

2y=132

2y=4y=2

Thus, x=1,y=2andz=2.

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