Maths Revision Notes

• These are maths revision notes

Multiple Choice Questions

• Solve 2x + 1/3 = 0 to find the value of x
• Determine the value of a number which is greater than 92, as much as it is less than 108
• Identify the smallest number by which 50 needs to be multiplied to result in a perfect square
• Solve 2/5x - 5/3x = 1/15 to find x
• Find the measure of each angle of a convex quadrilateral
• Determine the other three angles if one of the angles of a quadrilateral is 150 degrees and the other angles are equal to each other

Rectangle Length and Breadth

• The length and breadth of a rectangle is in the ratio 4:3
• If each of the diagonals measures at 10cm the rectangle perimeter needs to be calculated

Diagonals

• Identify the shape in which the diagonals are not equal
• The options are rectangle, square and isosceles trapezoid

Rhombus Diagonals

• The diagonals of a rhombus measure 18cm and 24cm
• Determine the length of each side of the rhombus

Ratios

• Express 36% as a ratio

Assertion and Reasoning

• The correct answer needs to be chosen from the statement of assertion (A) and followed by statement of reason (R) from the choices given below
• There are two questions with two marks each

Math Statements

• Assertion (A): 1 is a factor of every number

Reasons

• Reason (R): If a factor of a given number is a prime number, it is called a prime factor

Factors

• Assertion (A): The difference between the marked price and the discount offered is called the net price or sale price
• Reason (R): The marked price of a sewing machine is $2300. It is sold at a discount of 4%. Then, the selling price of the sewing machine is $2208

Fill in the Blanks

• There are multiple questions worth 10 marks

Polynomials

• In polynomials, the exponents of the variables are always _____.
• Calculate x2 + y2, given x + y = 13 and xy = 7

Product of Equations

• Find the product of (x2 - 1) and (x4 + x2 + 1)

Equations and Cuboids

• Identify the coefficient of a in -9ab2
• List the possible dimensions, if the volume of a cuboid is 3x2 - 27

Rhombus Perimeter

• Given that the area of a rhombus is 420 cm2 and its perimeter is 140 cm, find the altitude

Circle Diameter Length

• Find the length of the circle diameter whose circumference is 8.8cm

Cube Edge

• The edge of a cube whose surface area is 26.46cm2 needs to be determined

Cuboid Area

• The total surface area of a cuboid is 372cm2 and its lateral surface area is 180cm2
• Calculate the area of its base

Book Cost

• If 25 notebooks cost $125, then determine the cost of a dozen notebooks

Word Answers

• Answer the following word questions

Workers

• 3 boys can do a piece of work in two days
• Determine how many days one boy can do the work alone

Factors and Volume

• State the factors of (x2 - 49) by using identity
• State the volume of a cube, the side measuring at 2.5cm

Capacity

• Determine the capacity in litres of a cube of edge 20cm
• State the common factor of (x2 - 25) and (x - 5)

Car Speed & Distance

• A race car runs at a speed of 36km/hr
• Determine how far it will go in 12 seconds

Cube Surface

• Find the side of a cube whose surface area is 600cm2
• Determine the side of a cube whose surface area is 600cm2

Axis Point

• What is the distance of the point (6,8) from the x-axis?
• What is the class-mark of the class interval (50-60)?

Case Study

• Questions on case studies

Class Room Size

• A classroom is 10m long, 6m wide, and 4m high, If each student will be given 1.5m2 of floor area
• Determine how many students can be accommodated in the room
• How many cubic meters of area would each student get

Figures

• In regards to figures, AC = 36cm, BL and DM are perpendicular from B and D to AC are 16cm and 18cm respectively DM = 18cm, BL = 16cm
• The area of triangle ABC needs to be determined
• The area of the ADC triangle also needs to be determined
• Finally, identify the area of the quadrilateral ABCD

Chettinad Vidyashram Annual Evaluation Revision Paper

• These are the answers to the following questions

Adding Question

• Add 9x2 - 11xy + 7y2, -5xy + 6y2 - 3x2 and 11y2 + 7xy - 5x2

Regular Octagon

• Each of the exterior angles of a regular octagon needs to be measured

Factorise

• Solve 1 - x2 +2xy -y2

Grains

• Suppose 3.5 kg weight of rice contains 1.75 x 10^5 grains, how many grains are there in 4.5kg weight of rice

Parallelograms

• The base of a parallelogram is thrice its height, If the area is 864cm2, find the base and height of the parallelogram.
• In a given figure, ABCD is a parallelogram. Find x and y in cm.

Equations

• Divide 2x^2 + 5x + 2 by 2x + 1

Per Day Earnings

• If 7 men or 10 women earn $1400 per day, how much would 14 men and 8 women earn per day?
• The diagonal of a quadrilateral is 20m in length, the perpendiculars to it from the opposite verticies are 8.5m and 11m. Find the area of the quadrilateral.

Tables

• The tables show the mode of transport used by a group of students to get to school
• Students get to school by-Bus, Walk, Bike, and Car

Construct

• Draw a pie chart using the above information.
• Construct a rhombus ABCD whose side is 5cm and the angle is 60%
• If x and y are inversely proportional, find the values if x,y, and y2 in the following table
• X - 240 - x1 - 40 - 24
• Y y1 - 2 -3 - y2