Trigonometry: Tricks

Trigonometric Ratios ( SOH- CAH- TOA)

Sine =  Opposite / Hypotenuse 

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Reciprocals:

Cosec = 1/sine

Sec = 1/ cos

 

Cot = 1/tan

Trigonometric Angle Values

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Signs of Angles in Quadrants

Easy method to remember this

• All three of them are positive in Quadrant I
• Sine only is positive in Quadrant II
• Tangent only is positive in Quadrant III
• Cosine only is positive in Quadrant IV

Trigonometrical Ratios of

 (90° ±θ), (180±θ),(270±θ),(360±θ)

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Grade_5, 6_ Perimeter and Area

 Perimeter and Area

Grade :5,6

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1. Find the  Perimeter of the rectangle in given figure.

2.Find the perimeter of a square shaped room with one side equal to 5m

3. A table top measures 3m 75cm by 2m 70cm . Find its perimeter ?

4. Find the cost of fencing a square shaped park of side 250m at the rate of Rs. 20 per meter ?

5. A square piece of land has each side equal to 100m. If three layers of metal wire are to be used to fence it, what is the length of the wire needed ?

6. Find the cost of fencing a rectangular park of length 175m and breadth 150m at the rate of Rs. 12 per meter ?

7. The length of a rectangular field is twice its breadth. Meera jogged around it 5 times and covered a distance of 3km. What is the length of the field ?

8. Find the width of a cardboard if its area is 52 sq.cm and its length is 13cm?

9. Find the cost of tiling the floor of a room at the rate f Rs.8 per m2 , where the room measures 250m long and 100m broad ?

10. How many square tiles with dimension 5cm can be fixed on a small surface whose length is 48cm and breadth is 25cm ?

ANSWERS

Grade 7, 8 _ Data handling

 Data Handling

Grade: 7,8

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1. Find the mean of 53, 64, 45, 87,32 ? 

2. Find the mean of first 6 Natural numbers ?

3. Find the mean of first 10 odd natural numbers ?

4. Find the mean of all factors of 10 ?

5. Find the mean of (x+3), (x+5), (x+7), (x+9), (x+11)

6. If the heights of 5 persons are 140cm, 150cm, 152cm, 158 cm, 161cm respectively, find the mean height ?

7. The mean of 75 numbers is 35. If each number is multiplied by 4, find the new mean?

8. The mean of 5 numbers is 27. If one more number is included, then the mean is 25. Find the included number ?

9. The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number ?

10. The mean of 10 numbers is 20. If 5 is subtracted from every number, what will be the new mean ?

ANSWERS

Grade_6, 7_Visualising Solid Shapes

Visualising Solid Shapes

Grade :7

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1. A Cuboid has 

a) ---------rectangular faces

b) -----edges

c)-----vertices

2. A cube has 

a) --------square faces

b)--------edges

c)------vertices

3.  A triangular pyramid has 

a) ------faces

b)--------edges

c)------vertices

4. A cylinder has

a) -----vertex

b)-----circular faces

c)-----curved face

d)----two curved edges

5. A cone has 

a)---vertex

b)----curved edge

c)-----curved face ----flat face

6. A sphere has 

a) ---vertex

b)---edge

c)----curved surface

ANSWERS