Find the mean of the following data : Marks obtained : Less than 0 Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Number of students : 0 7 19 32 42 50

Less than 0 C . f . f x f . x . 0 - 10 7 7 5 35 10 - 20 19 12 15 180 20 - 30 32 15 25 325 30 - 40 42 8 35 350 40 - 50 50 8 45 360 Total 50 1250 Mean = ∑ fx ∑ f = 1250 50 = 25

E M B I B E

Concise Mathematics>Chapter 31 - Revision Paper-4>Revision Paper-4>Q 9

EASY

10th ICSE

IMPORTANT

Earn 100

Show that any four vertices of a regular pentagon form a cyclic quadrilateral.

Important Questions on Revision Paper-4

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 31 - Revision Paper-4>Revision Paper-4>Q 10

If

cosec θ - sinθ = m

and

secθ - cosθ = n,

then show that

{(m^{2} n)}^{2 / 3} + {({mn}^{2})}^{2 / 3} = 1

EASY

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 31 - Revision Paper-4>Revision Paper-4>Q 10

Prove that the area of the equilateral triangle described on the side of a square is half the area of equilateral triangle described on its diagonals.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 31 - Revision Paper-4>Revision Paper-4>Q 10

Find the mean of the following data :

Marks obtained :	Less than $0$	Less than $10$	Less than $20$	Less than $30$	Less than $40$	Less than $50$
Number of students :	$0$	$7$	$19$	$32$	$42$	$50$

EASY

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 31 - Revision Paper-4>Revision Paper-4>Q 11

In the given figure, $PR$ is the bisector of $∠ BPC$ . It meets $BC$ and $AD$ at points $Q$ and $R$ respectively. Prove that : $∠ ARQ = ∠ BQR$

Question Image

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 31 - Revision Paper-4>Revision Paper-4>Q 11

In the given figure, $PR$ is the bisector of $∠ BPC$ . It meets $BC$ and $AD$ at points $Q$ and $R$ respectively. Prove that $∠ ARQ + ∠ RQC = 180 °$ .