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𝑷𝒓𝒆𝒑𝒂𝒓𝒆𝒅 𝒃𝒚 𝒌𝒉𝒂𝒍𝒊𝒅 𝑱𝒂𝒗𝒆𝒅 𝑸𝒂𝒅𝒊𝒓 𝑴𝒂𝒕𝒉. 𝒕𝒆𝒂𝒄𝒉𝒆𝒓 (𝑰𝑬𝑺) of 18

MATHEMATICS ASSIGNMENT GRADE-O/L (9F)

Topic.Travel Graph DATE:20/5/2017

NAME.------------------------------------------------------------------------------------------------

𝑸𝟏.

Ans. 80km

ISLAMIyA ENGLISH SCHOOL ABU DHABI U. A. E.


𝑸𝟐 .A car, starting from rest, accelerates at a constant rate and attains a speed of 25 m/s after

5 seconds.

The car then travels at this speed for 20 seconds.

The car then slows down at a constant rate and comes to rest in 10 seconds.

(a) Represent this information on the speed-time graph.

𝑇𝑖𝑚𝑒 (𝑆𝑒𝑐)

Find, in m/s2,

(b) (i) the acceleration,

(ii) the rate at which the car slows down.( m/s2 )

(c) Find the total distance, in m, that the car has travelled. (2+2+2)


𝑸𝟑.

The distance between London and Brighton is 84 km. James leaves London at 1 pm and

takes 1 hour and 18 minutes to travel to Brighton.

(a) Show this information on the distance-time graph above. (1) He then stays in Brighton for 1 hour.

(b) Show this information on your distance-time graph. (1) James then travels back to London from Brighton at an average speed of 54 km/hour.

(c) Calculate the time, in hours to one decimal place, taken to travel back to London from Brighton.

(2) (d) Complete your distance-time graph. (1)

Ans.(c) 1.6 Hours


𝑸𝟒.

The diagram shows the distance-time graph of a train travelling from town A to town B.

Write down the total time in minutes that

(a) the train was moving, ………….. minutes (1) (b) the train was stationary. ................ minutes (1)

Ans.a) 75 min. b) 45 min. 2009


𝑸𝟓.

Two towns, S and T, are connected by a road. The distance between S and T is 11 km.

John leaves town S at 10 00 and cycles along this road at a constant speed of 12 km/h.

After 30 minutes he stops and rests for 10 minutes. He then continues his journey to T at

a constant speed, arriving at 11 00.

(a) Draw the distance-time graph for John’s journey. (3) Michael leaves town T at 10 00. He walks along the same road towards S for one hour at

a constant speed of 3 km/h.

(b) Draw the distance-time graph for Michael’s journey. (1)

(c) Write down the time at which John and Michael meet. (1) 2008


𝑸𝟔.


𝑄7.

(b) Find the total distance, in metres, travelled by the train.

........................................................ m(2) Find

(c) the average speed, in m/s, of the train,

........................................................ m/s(1) (d) the rate, in m/s2, at which the train slows down.

........................................................ m/s2(1)

Ans.b) 10350 m c) 27m/s d) 0.5


𝑸𝟖.


Q9.

𝑄10.


2016 may


Q11.


Q12.

Triangle B is the image of triangle A under the combined transformation of a reflection in

the line y = –x followed by a translation.

(a) On the diagram draw and label the line y = –x. (1) (b) On the diagram draw the image of triangle A after a reflection in the line y = –x.

Label this image C. (1) (c) Describe the translation which maps triangle C onto triangle B. (2)


Q13.


Q14.


Q15.

Ans. a) 75kmb) 25km/h c) 1.5 hours


Q16.


Q17.

(3)

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