The sum of two numbers is 36 and one number exceeds another by 8. Find the numbers.

A bus is carrying 56 passengers with some people having Rs.8 tickets and the remaining having Rs.10 tickets. If the total money received from these passengers is Rs.500, find the number of passengers with each type of tickets.

The length of a rectangular field exceeds its breadth by 9 metres. If the perimeter of the field is 154m, find the length and breadth of the field.

Th ere is a wooden piece of length 2m. A carpenter wants to cut it into two pieces such that the first piece is 40 cm smaller than twice the other piece. What is the length of the smaller piece?

mother is five times as old as her daughter. After 2 years, the mother will be four times as old as her daughter. What are their present ages?

If the selling price of a LED TV is equal to 54 of its cost price, then find the gain/profit percentage.

By selling a bicycle for rs 4275, a shopkeeper loses 5%. For how much should he sell it to have
a profit of 5%?

Ranjith bought a washing machine for Rs16150 and paid Rs1350 for its transportation. Then, he sold it for Rs19250. Find his gain or loss percentage.

A pre-owned car was bought for Rs240000. On repairs Rs15000 was spent, Rs8500 was paid for its insurance. Th en, it was sold for Rs258230. What is the gain or loss percentage?

The cost price of 16 boxes of strawberries is equal to the selling price of 20 boxes of strawberries. Find the gain or loss percentage.

In the figure, AB ⊥ AC
a) What type of Δ is ABC?
b) What are AB and AC of the Δ ABC?
c) What is CB called as?
d) If AC = AB then, what is the measure of ㄥB and ㄥC?

Can a right triangle have sides that measure 5cm, 12cm and 13cm?

A 20-feet ladder leans against a wall at height of 16 feet from the ground. How far is the base of the ladder from the wall?

Find LM, MN, LN and also the area of Δ LON.

A junction where two roads intersect at right angles is as shown in the figure. Find AC if AB = 8 m and BC = 15 m.

7 is added to a given number to give 19.

The sum of 4 times a number and 18 is 28.

Solve the equation: x − 7 = 6

Solve the equation: 3x = 51

Solve 2x + 5 = 9

900 boys and 600 girls appeared in an examination of which 70% of the boys and 85%of the girls passed out in the examination. Find the total percentage of students who did not pass.

If x % of 600 is 450 then, find the value of x.

When a number is decreased by 25% it becomes 120. Find the number.

If the price of Orid dhall after 20% increase is ₹96 per kg, find the original price of Orid dhall per kg.

In a leadership election between two persons A and B, A wins by a margin of 192 votes. If A gets 58% of the total votes, find the total votes polled.

In the given graph sheet draw and colour how the Fibonacci number pattern makes a spiral in the Golden Rectangle.

Using repeated division method find HCF of the following:
455 and 26

Using repeated subtracting method find HCF of the following:
42 and 70

Do the given problems in repeated subtraction method

On a school trip, 56 girls and 98 boys went to Kanyakumari. They were divided into as many groups as possible so that there were equal numbers of girls and boys in each group. find the largest group possible? (To find the HCF using repeated division method)

Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem.
(i) 8,15,17
(ii) 12,13,15
(iii) 30, 40, 50
(iv) 9, 40, 41
(v) 24, 45, 51

Find the unknown side in the following triangles.
  

An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height.

In the figure, find PR and QR.

The length and breadth of the screen of an LED-TV are 24 inches and 18 inches. Find the length of its diagonal.

Find x: (i) –3(4x + 9) = 21 (ii) 20 – 2 ( 5 – p) = 8 (iii) (7x – 5) – 4(2 + 5x) = 10(2 – x)

Find x and m: (i)\(\frac { 3x-2 }{ 4 } =\frac { (x-3) }{ 5 } =-1\)  (ii) \(\frac { m+9 }{ 3m+15 } =\frac { 5 }{ 3 } \)

The sum of three consecutive odd numbers is 75. Which is the largest among them?

A total of 90 currency notes, consisting only of Rs.5 and Rs.10 denominations, amount to Rs.500. Find the number of notes in each denomination.

A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged. Find the original number.

48 is 32%of what number?.

A bank pays rs240 as interest for 2 years for a sum of rs3000 deposited as savings. Find the rate of interest given by the bank.

If the difference between 75% of a number and 60% of the same number is 82.5, then find 20%of the number.

A number when decreased by 20% gives 80. Find the number.

A number is increased by 25%and then decreased by 20%. Find the change in that number.

What is the eleventh Fibonacci number?

If F(n) is a Fibonacci number and n = 8, which of the following is true?

Every 3rd number of the Fibonacci sequence is a multiple of _______

Every _______ number of the Fibonacci sequence is a multiple of 8

The difference between the 18^th and 17^th Fibonacci number is

If Δ GUT is isosceles and right angled, then ㄥTUG is ________. 

The hypotenuse of a right angled triangle of sides 12cm and 16cm is __________.

The area of a rectangle of length 21 cm and diagonal 29 cm is __________cm².

If the square of the hypotenuse of an isosceles right triangle is 50 cm², the length of each
side is ____________.

The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

(a) \(\frac { x }{ 2 } \)=10     (i) x = 4
(b) 20= 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x =\(\frac { 8 }{ 3 } \)
(e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)   (v) x = –24

Sum of a number and its half is 30 then the number is______.

The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

What sum of money will earn `500 as simple interest in 1 year at 5% per annum?

The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.

12% of 250 litres is the same as ________of 150 litres.

If three candidates A, B and C is a 3 school election got 153, 245 and 102 votes respectively, the percentage of votes for the winner is___________.

15% of 25% of 10000 =___________.

When 60 is subtracted from 60% of a number to give 60, the number is

If 48%of 48 = 64% of x , then x =
(a) (b) (c) (d)

If F(n) is a Fibonacci number and n = 8, which of the following is true?

Every 3rd number of the Fibonacci sequence is a multiple of _______

Two numbers are said to be co-prime numbers if their HCF is

There are four groups of letters in each set. Three of these sets are a like in some way while one is different. Find the one which is different.

Find the correct answer from the four alternatives given
If the word ‘P H O N E’ is coded as ‘S K R Q H’, how will ‘R A D I O’ be coded?

If Δ GUT is isosceles and right angled, then ㄥTUG is ________. 

The hypotenuse of a right angled triangle of sides 12cm and 16cm is __________.

The area of a rectangle of length 21 cm and diagonal 29 cm is __________cm².

If the square of the hypotenuse of an isosceles right triangle is 50 cm², the length of each
side is ____________.

The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

(a) \(\frac { x }{ 2 } \)=10     (i) x = 4
(b) 20= 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x =\(\frac { 8 }{ 3 } \)
(e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)   (v) x = –24

Sum of a number and its half is 30 then the number is______.

The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

What sum of money will earn `500 as simple interest in 1 year at 5% per annum?

The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.

A fruit vendor sells fruits for Rs200 gaining Rs40. His gain percentage is

By selling a flower pot for Rs528, a woman gains 20%. At what price should she sell it to gain 25%?

The single discount which is equivalent to two successive discount of 20%and 25% is

Th e number of conversion periods, if the interest on a principal is compounded every two months is___________.

The sum which amounts to Rs.2662 at 10% p.a in 3 years compounded yearly is_______.

(a) \(\frac { x }{ 2 } \)=10     (i) x = 4
(b) 20= 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x =\(\frac { 8 }{ 3 } \)
(e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)   (v) x = –24

Sum of a number and its half is 30 then the number is______.

The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

What sum of money will earn `500 as simple interest in 1 year at 5% per annum?

The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.

12% of 250 litres is the same as ________of 150 litres.

A fruit vendor sells fruits for Rs200 gaining Rs40. His gain percentage is

A man buys an article for Rs150 and makes overhead expenses which are 12% of the cost price. At what price must he sell it to gain 5%?

The single discount which is equivalent to two successive discount of 20%and 25% is

The cost of a machine is Rs.18000 and it depreciates at 16 % annually. Its value after 2 years will be___________.

What is the eleventh Fibonacci number?

The difference between the 18^th and 17^th Fibonacci number is

There are four groups of letters in each set. Three of these sets are a like in some way while one is different. Find the one which is different.

There are four groups of letters in each set. Three of these sets are a like in some way while one is different. Find the one which is different.

Find the correct answer from the four alternatives given
If the word ‘P H O N E’ is coded as ‘S K R Q H’, how will ‘R A D I O’ be coded?

The hypotenuse of a right angled triangle of sides 12cm and 16cm is __________.

The area of a rectangle of length 21 cm and diagonal 29 cm is __________cm².

If the square of the hypotenuse of an isosceles right triangle is 50 cm², the length of each
side is ____________.

The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

If in a Δ PQR, PR² = PQ² + QR², then the right angle of Δ PQR is at the vertex ________.

If PQ || RS and ∠ONR=30^o find ∠MON and hence ∠MOX .

In the Fig if ΔPQR ～ ΔXYZ, find a and b.

D is a point on the side BC. Such that \(\angle \)ADC = \(\angle \)BAC. Prove that \(\frac { CA }{ CD } =\frac { CB }{ CA } \) or CA² = CBXCD.

In the figure with respect to \(\triangle \)BEP and \(\triangle \)CPD prove that BP x PD = EP x PC.

Two triangles BAC and BDC right angled at A and D respectively are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P. Prove that AP x PC = DP x PB.

Multiply 3x²yand (2x³y³−5x²y+9xy)

If Guru wants to multiply the expressions (2x+3y+50) and 3xy , what is the resultant expression?

Find the value of 9982 by using (a−b)2 identity 

Simplify(3x+5y)(3x-5y)

Expand (y-5)³

Find the length of arc whose radius is 42 cm and central angle is 60⁰

Find the length of the arc whose radius is 10.5 cm and central angle is 36°.

Give the net pattern for a tetrahedron.

Find the length of an arc if the radius of the circle is 14 cm and area of the circle is 63 cm².

A circular arc whose radius is 12 cm makes an angle 30° at the center. Find the perimeter of the sector formed (ㅠ = 3.14)

Write the following decimal numbers as rationals.
0.25

Write the following decimal numbers as rationals.
0.666…

Find which rational number is greater?
\(\frac { 5 }{ -4 } ,\frac { -11 }{ -7 } \)

Find which rational number is greater?
\(\frac { -10 }{ 3 } ,\frac { 14 }{ -5 } \)

Simplify \(\left( \frac { -16 }{ 5 } \times \frac { 20 }{ 8 } \right) -\left( \frac { 15 }{ 5 } \times \frac { -35 }{ 3 } \right) \)

The product of 7p³ and (2p²)² is

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

Expand the following
(p + 2)²=_________

Expand the following
(6²-x2)=_______

12% of 250 litres is the same as ________of 150 litres.

When 60 is subtracted from 60% of a number to give 60, the number is

If 48%of 48 = 64% of x , then x =
(a) (b) (c) (d)

If 30%of x is 150, then x is _________.

If x % of x = 25, then x = ________.

The ratio between the circumference and diameter of any circle is_______ 

The radius of a circle of diameter 24 cm is __________.

A cube has _________ faces.

If a net of a 3-D shape has six plane squares, then it is called ______.

For the sectors with given measures, find the length of the arc, area and perimeter.(π=3.14)
(i) central angle 45º , r = 16 cm
(ii) central angle 120º, d =12.6 cm
(iii) central angle 60º, r =36 cm
(iv) central angle 72º, d =10 cm

The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

The sum of the digits of the denominator in the simplest form of \(\frac { 112 }{ 528 } \)

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \)= 

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

\(\frac { -19 }{ 5 } \) lies between the integers ______________ and ________________

The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

How many 2 digit numbers contain the number 7?

A line segment which joins any two points on a circle is a _________.

In how many ways, can the teacher choose 3 students in all, one each from 10 students in VI std, 15 students in VII std and 20 students in VIII std to go to an excursion?

If you have 2 school bags and 3 water bottles then, in how many different ways can you carry both a school bag and a water bottle, while going to school?

A safety locker in a jewel shop requires a 4 digit unique code. The code has the digits from 0 to 9. How many unique codes are possible?

Ramya wants to paint a pattern in her living room wall with a minimum budget. Help her to colour the pattern with 2 colours but make sure that no two adjacent boxes are the same colour. The pattern is shown in the picture.

Colour the countries in the following maps with as few colours as possible but make sure that no two adjacent countries are of the same colour.

In the given fi gure YH||TE . Prove that ΔWHY～ΔWET and also fi nd HE and TE.

In the given fi gure, ∠CIP≡∠COP and ∠HIP≡∠HOP . Prove that IP ≡ OP.

In the given figure, D is the midpoint of OE and ∠CDE = 90°. Prove that ΔODC ≡ΔEDC

In the given figure, find PT given that l₁|| l₂.

In the figure, given that ∠1 =∠2 and ∠3 ≡∠4. Prove that ΔMUG ≡ ΔTUB.

Multiply a monomial by a monomial
6x,4

Multiply a monomial by a monomial
−3x,7y

Find the product of the terms.
−2mn,(2m)² , −3mn

Find the missing term 6xy×_________= −12x³y

Find the missing term _________×(−15m²n³p)= 45m³n³p²

Find the central angle of the shaded sectors (each circle is divided into equal sectors).

Sectors
Central angle of each sector (θ°)

From the measures given below, find the area of the sectors.

Find the area of a sector whose length of the arc is 50 mm and radius is 14 mm.

Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm.

A circle is formed with 8 equal granite stones as shown in the figure each of radius 56 cm and whose central angle is 45º. Find the area of each of the granite\(\left( \pi =\frac { 22 }{ 7 } \right) \)

List five rational numbers between
–2 and 0

Write four rational numbers equivalent to
\(\frac { -7 }{ 6 } \)

Draw the number line and represent the following rational numbers on it.
\(\frac { 9 }{ 4 } \)

Find the rational numbers for the points marked on the number line.

In a city, \(\frac{7}{20}\) of the population is women and \(\frac{1}{4}\) is children. Find the fraction of the population of men.

Find the perimeter and area of the given Fig.2.27. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

A key-chain is in the form of an equilateral triangle and a semicircle attached to a square of side 5 cm as shown in the Fig.2.30. Find its area.(π=3.14, √3=1.732)

Factoris 7c²+2c-5

Factorise: a³ – 8

Construct a quadrilateral MATH with MA=4 cm, AT= 3.6 cm, TH = 4.5 cm, MH = 5 cm and ∠A = 85°. Also find its area.

How many outcomes can you get when you toss three coins once?

In how many ways can you answer 3 multiple choice questions, with the choices A, B, C and D?

How many 2 digit numbers contain the number 7?

In how many ways, can the teacher choose 3 students in all, one each from 10 students in VI std, 15 students in VII std and 20 students in VIII std to go to an excursion?

If you have 2 school bags and 3 water bottles then, in how many different ways can you carry both a school bag and a water bottle, while going to school?

Two similar triangles will always have ________angles

If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

In the figure, which of the following statements is true?

The product of 7p³ and (2p²)² is

The missing terms in the product -3m3n X9(_)m⁴n³ are

If the area of a square is 36x⁴y²then, its side is______

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

\(\cfrac { { I }^{ 4 }{ m }^{ 5 }{ n }^{ (\_) } }{ 2lm^{ (3) }{ n }^{ 6 } } =\cfrac { { l }^{ 3 }{ m }^{ 2 }n }{ 2 } \)

The ratio between the circumference and diameter of any circle is_______ 

The radius of a circle of diameter 24 cm is __________.

The three dimensions of a cuboid are _______.

The meeting point of more than two edges is called as ______.

The cross section of a solid cylinder is _______.

Which of the following rational numbers is the greatest?

\(\frac { -5 }{ 4 } \) is a rational number which lies between

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \)= 

Multiplicative inverse of 0 (is)

The value of \(\left( \frac { -15 }{ 23 } \right) \div \left( \frac { +30 }{ -46 } \right) \) is _____________

The product of 7p³ and (2p²)² is

The missing terms in the product -3m3n X9(_)m⁴n³ are

If the area of a square is 36x⁴y²then, its side is______

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

Two similar triangles will always have ________angles

If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

In the figure, which of the following statements is true?

The product of 7p³ and (2p²)² is

The missing terms in the product -3m3n X9(_)m⁴n³ are

If the area of a square is 36x⁴y²then, its side is______

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

The three dimensions of a cuboid are _______.

The meeting point of more than two edges is called as ______.

A cube has _________ faces.

The cross section of a solid cylinder is _______.

If a net of a 3-D shape has six plane squares, then it is called ______.

Multiplicative inverse of 0 (is)

Which of the following illustrates the inverse property for addition?

Closure property is not true for division of rational numbers because of the number

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

\(\left( 1-\frac { 1 }{ 2 } \right) \times \left( \frac { 1 }{ 2 } -\frac { 1 }{ 4 } \right) \div \left( \frac { 3 }{ 4 } -\frac { 1 }{ 2 } \right) \)=

Two similar triangles will always have ________angles

If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

In the figure, which of the following statements is true?

The product of 7p³ and (2p²)² is

The missing terms in the product -3m3n X9(_)m⁴n³ are

If the area of a square is 36x⁴y²then, its side is______

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

The ratio between the circumference and diameter of any circle is_______ 

A line segment which joins any two points on a circle is a _________.

The longest chord of a circle is __________.

The radius of a circle of diameter 24 cm is __________.

A part of circumference of a circle is called as ________.

Which of the following rational numbers is the greatest?

Which of the following pairs is equivalent?

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \)= 

Closure property is not true for division of rational numbers because of the number

\(\left( 1-\frac { 1 }{ 2 } \right) \times \left( \frac { 1 }{ 2 } -\frac { 1 }{ 4 } \right) \div \left( \frac { 3 }{ 4 } -\frac { 1 }{ 2 } \right) \)=

The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

Which of the following rational numbers is the greatest?

Which of the following pairs is equivalent?

Which of the following illustrates the inverse property for addition?

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

Which of the following rational numbers is the greatest?

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

The product of 7p³ and (2p²)² is

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

How many 2 digit numbers contain the number 7?

Multiplicative inverse of 0 (is)

The missing terms in the product -3m3n X9(_)m⁴n³ are

Two similar triangles will always have ________angles

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

How many outcomes can you get when you toss three coins once?

Find the perimeter and area of the given Fig.2.27. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

A key-chain is in the form of an equilateral triangle and a semicircle attached to a square of side 5 cm as shown in the Fig.2.30. Find its area.(π=3.14, √3=1.732)

Find the area of the irregular polygon field whose measures are as given in the figure.

Divide : (5y³−25y²+8y) by 5y

Factorise : x²+8x+16

List five rational numbers between
–2 and 0

List five rational numbers between
–1.2 and -2.3

Verify that -(- x) is the same x for:
\(x=\frac { -31 }{ 45 } \)

Divide: \(\frac { -3 }{ 13 } \) by -3

Arrange the following rational numbers in ascending and descending order
\(\frac { -5 }{ 12 } ,\frac { -11 }{ 8 } ,\frac { -15 }{ 24 } ,\frac { -7 }{ -9 } ,\frac { 12 }{ 36 } \)

The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

\(\frac { -5 }{ 4 } \) is a rational number which lies between

Which of the following pairs is equivalent?

Which of the following illustrates the inverse property for addition?

The product of 7p³ and (2p²)² is

In how many ways, can the teacher choose 3 students in all, one each from 10 students in VI std, 15 students in VII std and 20 students in VIII std to go to an excursion?

If you have 2 school bags and 3 water bottles then, in how many different ways can you carry both a school bag and a water bottle, while going to school?

A safety locker in a jewel shop requires a 4 digit unique code. The code has the digits from 0 to 9. How many unique codes are possible?

Shanthi has 5 chudithar sets and 4 frocks. In how many possible ways, can she wear either a chudithar or a frock?

On sports day, students must take also part in one of the one track events 100m Running and 4 ×100 m Relay. He must take part of any of the field events Long Jump, High Jump, and Javelin Throw. In how many different ways can the student take part in the given events?

Two similar triangles will always have ________angles

If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

In the figure, which of the following statements is true?

In the given fi gure prove that ΔGUM ～ ΔBOX

The product of 7p³ and (2p²)² is

If the area of a square is 36x⁴y²then, its side is______

If the area of a rectangle is 48m²n³ and whose length is 82mn then, its breadth is______

If the area of a rectangular land is(a²-b²)− sq.units whose breadth is()ab− then, its length is__________

\(\cfrac { { 18m }^{ 4 } }{ { 2m }^{ 3 }{ n }^{ 5 } } =\_ \_ \_ { mn }^{ 5 }\)

The ratio between the circumference and diameter of any circle is_______ 

The longest chord of a circle is __________.

A part of circumference of a circle is called as ________.

The meeting point of more than two edges is called as ______.

If a net of a 3-D shape has six plane squares, then it is called ______.

The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

Which of the following rational numbers is the greatest?

Which of the following pairs is equivalent?

Closure property is not true for division of rational numbers because of the number

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

The sum of the digits of the denominator in the simplest form of \(\frac { 112 }{ 528 } \)

The rational number (numbers) which has (have) additive inverse is (are)

Which of the following pairs is equivalent?

\(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \)= 

\(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

Find the central angle of the shaded sectors (each circle is divided into equal sectors).

Sectors
Central angle of each sector (θ°)

From the measures given below, find the area of the sectors.

Find the central angle of each of the sectors whose measures are given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

Infront of a house, flower plants are grown in a circular quardant shaped pot whose radius is 2 feet. Find the area of the pot in which the plants grow.( ㅠ=3.14)

A circle is formed with 8 equal granite stones as shown in the figure each of radius 56 cm and whose central angle is 45º. Find the area of each of the granite\(\left( \pi =\frac { 22 }{ 7 } \right) \)

The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

Which of the following rational numbers is the greatest?

\(\frac { -5 }{ 4 } \) is a rational number which lies between

Which of the following illustrates the inverse property for addition?

Closure property is not true for division of rational numbers because of the number