Answer the following
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IGCSE Mathematics Worksheet - Similar Shapes-1
Answer the following
1. The two trapezia below are similar. Find the values of x and y.
2. Explain why the two triangles below are similar. Calculate the lengths marked a and b
3. State whether or not the triangles ABC and XYZ are similar. Show working to support
your answer.
4. Show that triangles ABC and APQ are similar and calculate the length of AC and BP
5. AB is parallel to CD.
Lines AD and BC intersect at point O.
AB = 11 cm. AO = 8 cm. OD = 6 cm.
1. The two trapezia below are similar. Find the values of x and y.
2. Explain why the two triangles below are similar. Calculate the lengths marked a and b
3. State whether or not the triangles ABC and XYZ are similar. Show working to support
your answer.
4. Show that triangles ABC and APQ are similar and calculate the length of AC and BP
5. AB is parallel to CD.
Lines AD and BC intersect at point O.
AB = 11 cm. AO = 8 cm. OD = 6 cm.
IGCSE Mathematics Worksheet - Surface Area
Answer the following
1. A cone with curved surface area 120cm2. Its base has radius 3cm. Work out the slant height of the cone to 1dp.
2. A sphere has a surface are of 480 cm2. Calculate its diameter
3. Josh is painting a very large spherical sculpture. The sculpture has radius 8.5m. He is using a special type of paint that costs £9.60 per pot, and each pot covers exactly ten square metres. How much will he have to spend in order to paint the whole sphere?
4. A square-based pyramid has base 5cm and height 8cm. Work out the total surface area of the shape.
5. A solid cuboid which is 5 cm by 4 cm by 3 cm. What is the total surface area of this cuboid?
1. A cone with curved surface area 120cm2. Its base has radius 3cm. Work out the slant height of the cone to 1dp.
2. A sphere has a surface are of 480 cm2. Calculate its diameter
3. Josh is painting a very large spherical sculpture. The sculpture has radius 8.5m. He is using a special type of paint that costs £9.60 per pot, and each pot covers exactly ten square metres. How much will he have to spend in order to paint the whole sphere?
4. A square-based pyramid has base 5cm and height 8cm. Work out the total surface area of the shape.
5. A solid cuboid which is 5 cm by 4 cm by 3 cm. What is the total surface area of this cuboid?
6. Work out the Total surface area of the following shapes
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IGCSE , GCSE Mathematics Worksheet- Surface Area & Volume
Answer the following
2. A hemisphere and a cone are both made from the same material. Thecone has a base diameter of 8 cm and a perpendicular height of 6 cm. The hemisphere has a diameter of 7 cm. Which solid weighs more?
3. A cylindrical soft drinks can is 15 centimetres in height and 6.5 centimetres in diameter. A new cylindrical can holds the same volume but has a reduced height of 12 centimetres. What is the height of the new can ? Give your answer to 1 decimal place
- Find the volume of the following shapes.
2. A hemisphere and a cone are both made from the same material. Thecone has a base diameter of 8 cm and a perpendicular height of 6 cm. The hemisphere has a diameter of 7 cm. Which solid weighs more?
3. A cylindrical soft drinks can is 15 centimetres in height and 6.5 centimetres in diameter. A new cylindrical can holds the same volume but has a reduced height of 12 centimetres. What is the height of the new can ? Give your answer to 1 decimal place
4. A sphere has a volume of 80 cm3. Find the radius of the sphere
5. A metal cylinder has diameter 4·8 cm and a height of 8·3 cm. 75 identical
cylinders are melted down to make a single sphere. Calculate the diameter
of the sphere.
6. Gold has a density of 19·3 g/cm3. A gold ring has a volume of 1·1 cm3.
Find the mass of the gold ring
7.
8. A cylindrical bucket has a diameter of 30 cm and a height of 35 cm.
How many full bucket loads of water are needed to fill up the cuboid shaped tank?
9. A sphere has a surface area of 480 cm2. Calculate its diameter
10. A cone is attached to a cylinder of diameter 15 cm as shown. The perpendicular heights of the cylinder and the cone are both equal to the diameter of the cylinder. Find the total surface area of the combined solid.
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5. A metal cylinder has diameter 4·8 cm and a height of 8·3 cm. 75 identical
cylinders are melted down to make a single sphere. Calculate the diameter
of the sphere.
6. Gold has a density of 19·3 g/cm3. A gold ring has a volume of 1·1 cm3.
Find the mass of the gold ring
7.
8. A cylindrical bucket has a diameter of 30 cm and a height of 35 cm.
How many full bucket loads of water are needed to fill up the cuboid shaped tank?
9. A sphere has a surface area of 480 cm2. Calculate its diameter
10. A cone is attached to a cylinder of diameter 15 cm as shown. The perpendicular heights of the cylinder and the cone are both equal to the diameter of the cylinder. Find the total surface area of the combined solid.
Downloaded from https://qusaistuition.blogspot.com
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