Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.2>Q 10

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Earn 100

Cecelia took $40$ minutes to complete a journey. She travelled half the distance at a speed of $100 km / h$ and the other at $60 km / h$ . How far was her journey?

Important Questions on More Equations, Formulae and Functions

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 1

A number is

3

more than the another number and the product of these two number is

\Rightarrow x = \frac{75 \times 2}{3}

.Find the possible pair of numbers.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 2

A ball starts to roll down a slope.If the ball is

d m e t r e

from its starting point at time

t s e c .

and

d = t^{2} + 3 t

.Find the time at which the ball is

10 m e t r e

from its starting point.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 3

The

n^{t h}

term of the sequence

1, 3, 6, 10, 15 . . . . .

is

\frac{n (n + 1)}{2}

,where

n

is the position of each term in the sequence.Use algebra to find the position of the number

78

.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 4

The sum of two integers is

11

and product of the same two integers is

28

.Use the algebra to show that,the two integers must be

4

and

7

.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 5

The base of triangle is

2 c m

longer than its perpendicular height.If the area of triangle is

24 c m^{2}

,find the height of the triangle.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 6

A trapezium has area

76 c m^{2}

.The parallel sides differ in length by

3 c m

and the shorter of the two is equal in length to the perpendicular height of the trapezium.Find the distance between two parallel sides of trapezium.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 7

The number of diagonals of a convex polygon with

n

sides is

\frac{1}{2} n (n - 3)

.How many sides does a polygon with

54

diagonals have.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 22 - More Equations, Formulae and Functions>Exercise 22.3>Q 7

The number of diagonals of a convex polygon with

n

sides is

\frac{1}{2} n (n - 3)

.Show that it is not possible for a polygon to have

33

diagonals.