Term 4 Year 7 maths

Question 1

Whats the formula of a triangle area?

Answer 1

1/2xbxh

(a triangle is half an square)

Question 2

So whats the area of the triangle if b=12cm, H=15cm and h=13cm?

Answer 2

78 cm2

(using the formula, 1/2x12x13 will equal 78 cm2)

Question 3

Whats the formula to find the Base or height of a triangle?

Answer 3

Ax2÷(h or b)

(you want to find the square area before dividing)

Question 4

So whats the height of the triangle if b=8mm , H= 16mm and A= 56 mm2?

Answer 4

14mm

(using the formula 56x2÷8 will equal 14mm)

Question 5

Whats the formula of a parallelogram area?

Answer 5

bxh

(A parallelogram is a rectangle but with some of the are sides cut off)

Question 6

So if the parallelogram has a base of 68cm and height of 45cm, whats the area?

Answer 6

3060 cm2

(68 x 45 = 3060 cm2)

Question 7

Whats the formula to find the base or height of a parallelogram?

Answer 7

A÷b or h

(is the opposite of multiply ( X ))

Question 8

So if the parallelogram has an area of 27 km2 and height of 3km?

Answer 8

9 km

(Using the formula 27÷3 will equal to 9 km)

Question 9

Whats the formula to find the circumference of a circle?

Answer 9

π x d

(or π x r x 2) (Pi is the ratio of a circle circumference)

Question 10

If the diameter is 12cm, whats the circumference of the circle?

Answer 10

37.7cm

( π x 12 = 37.7 remember to round it to the nearest hundredth.)

Question 11

If the radius is 19 mm, whats the circumference of the circle?

Answer 11

119.38 mm

(π x 19 x 2 = 119.38 remember to round it to the nearest hundredth)

Question 12

Whats the formula to find the radius or diameter of a circle?

Answer 12

π ÷ c

(or π ÷ c ÷ 2) ( Its the reverse of the way to find the formula of a circumference)

Question 13

If the circumference is 21.99 m, whats the diameter of the circle?

Answer 13

7 m

(π ÷ 21.99 = 7 m) (Its the reverse method of finding the circumference by the diameter)

Question 14

If the circumference is 43.98 mm, then whats the radius of the circle?

Answer 14

7 mm

(π ÷ 43.89 ÷ 2 = 7 mm) (Its the reverse method of finding the circumference by the radius)

Question 15

Whats the formula to solve the volume of a rectangular prism?

Answer 15

(b x h) x w

(Same thing with the 2d rectangle, but times width)

Question 16

If b = 13m, h = 26m and w = 18m, whats the volume of the rectangular prism?

Answer 16

6084m 3

(13 x 26 x 18 = 6084m 3) (remember to put in you volume units) (Area = 2) (Volume = 3)

Question 17

Whats the formula to solve the height, base or width of a rectangular prism?

Answer 17

V ÷ (b or h or w) ÷ (b or h or w)

(Its the reverse method of finding the volume, but to find the base, height or width)

Question 18

If v = 1680 cm3, b = 15cm, and w = 7cm, whats the height of the rectangular prism?

Answer 18

16cm

(1680 ÷ 15 ÷ 7 = 16cm)

Question 19

Whats the formula to find the volume of a triangular prism?

Answer 19

(1/2 x b x h) x w

(Same thing with the 2d triangle, but times width)

Question 20

If b = 23m, h = 35m, and w = 47m, whats the volume of the triangular prism?

Answer 20

18917.5 m3

(1/2 x 23 x 35 x 47 = 18917.5 m3) or (23 x 35 x 47/ 2 = 18917.5 m3)

Question 21

Whats the formula to find the base, height or width of a triangular prism?

Answer 21

v x 2 ÷ (b, h or w) ÷ (b, h or w)

(Its the reverse method of finding the volume of a triangular prism)

Question 22

If v = 315 km3, b = 9 km and h = 14 km, whats the width of the triangular prism?

Answer 22

5 km

(315 x 2 ÷ 9 ÷ 14 = 5 km)