Geometry Concepts and Calculations Practice Questions

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This content covers various topics in geometry, including decimal and fraction conversions, percentage calculations, along with missing angle calculations. It offers practice questions for students to enhance their understanding of geometry concepts.


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  1. Test 3 Revision YEAR 7 HIGHER

  2. Convert these decimals in to percentages a) 0.75 Convert these fractions into percentages a) 5 Convert these percentages into fractions 10% 40% 15% 1 Topic 9 a) b) c) b) 0.2 11 25 b) 17 20 c) 0.05 c) Calculate: a) There are 30 people in a tennis club. 3 5of the members are male. How many female members are there? Write these numbers in order of size. Start with the smallest. 2 5?? 20 Number : %/decimal/fraction 3 8?? 16 b) 0.75,2 3, 65%, 3 5 4 7?? 28 c) Convert these improper fractions into mixed numbers a) 5 b) 6 c) 8 Calculate: a) Simon spent 1 money on a computer game. He spent 1 money on a ticket for a football match. Work out the fraction of his pocket money that he had left. 4of his pocket 2 5+ 3 10 3of his pocket 11 7 12+1 b) 6 20 14 3 4+ 5 12 c)

  3. Convert these decimals in to percentages a) 0.75 Convert these fractions into percentages a) Convert these percentages into fractions 10% = 1 = 75% 1 5= 20% Topic 9 a) 10 b) 0.2 = 20% 11 25= 44% b) b) 40% = 40 100= 4 10= 2 5 17 20= 85% c) 0.05 = 5% c) c) 15% = 15 100= 3 20 Calculate: a) There are 30 people in a tennis club. 3 5of the members are male. How many female members are there? 12 Write these numbers in order of size. Start with the smallest. 0.75,2 3 5, 65%, 2 2 5?? 20 = 8 Number : %/decimal/fraction 3 8?? 16 = 6 b) 3, 65%, 3 3, 0.75 5 4 7?? 28 = 16 c) Convert these improper fractions into mixed numbers a) b) c) Calculate: a) Simon spent 1 money on a computer game. He spent 1 money on a ticket for a football match. Work out the fraction of his pocket money that he had left. 3 12+ 12 4of his pocket 2 5+ 3 10= 7 10 3of his pocket 11 5= 21 20 6= 32 14 8= 16 7 12+1 12=3 9 b) 6= 5 6= 31 8= 13 4 3 3 4+ 5 12=14 12= 11 c) 4 6 4 12= 7 5 12 ???? =

  4. What colour is: ABC DCE CAB Name the quadrilateral Name the quadrilateral B D Topic 10 C A E Name the shape Name the polygon Name the polygon Geometry: Angles Calculate the missing angles Calculate the missing angles Calculate the missing angle

  5. What colour is: ABC DCE CAB Name the quadrilateral Name the quadrilateral B parallelogram trapezium D Topic 10 C A E Name the shape Name the polygon Name the polygon Irregular Concave pentagon Irregular convex hexagon Isosceles triangle Geometry: Angles Calculate the missing angles Calculate the missing angles Calculate the missing angle a = 120 v = 155 y = 73 b = 60 u = 25 c = 120 t = 155

  6. Calculate the missing angle Calculate the missing angle Calculate the missing angles. Topic 10 Calculate the missing angles Calculate the missing angles Find the value of x. Geometry: Angles Calculate the missing angle Calculate the missing angle Calculate the missing angle

  7. Calculate the missing angle x = 70 Calculate the missing angle b = 80 Calculate the missing angles. m = 50 n = 80 Topic 10 Calculate the missing angles m = 75 n = 75 l = 150 Calculate the missing angles a = 60 b = 120 Find the value of x. 6x = 180 x = 30 Geometry: Angles Calculate the missing angle a = 125 Calculate the missing angle g= 105 Calculate the missing angle e = 100

  8. Name these two lines: Complete this table for y = x + 3 Complete this table for y = 2x 2 a x y 0 3 1 2 3 4 x y 0 -2 1 2 3 4 Topic 11 b Name these two lines: a Use the graph to convert a) 5 miles into km b) 1 mile into km c) 16 km into miles d) 20 miles into km b km Algebra: graphs miles Rob walks from his house to visit a friend. Later he walks to collect his bike from the repair shop. He then cycles home. a) When did he arrive at his friends. b) How long did he stay at his friends? c) When was Rob travelling fastest?

  9. Name these two lines: Complete this table for y = x + 3 Complete this table for y = 2x 2 a a: x = 2 b: y = -3 x y 0 3 1 4 2 5 3 6 4 7 x y 0 -2 1 0 2 2 3 4 4 6 Topic 11 b Name these two lines: a Use the graph to convert a) 5 miles into km = 8 km b) 1 mile into km = 1.6 km c) 16 km into miles = 10 miles d) 20 miles into km = 32 km km b a: x = -2 Algebra: graphs b: y = 2 miles Rob walks from his house to visit a friend. Later he walks to collect his bike from the repair shop. He then cycles home. a) When did he arrive at his friends. 09:15 b) How long did he stay at his friends? 2 h c) When was Rob travelling fastest? At the end

  10. What colour is the mode? What is wrong with this What was the mode? bar chart? 10 8 6 4 2 0 10 8 6 4 2 0 frequency frequency Topic 12 7 8 age 9 10 A B C 80 people = Man Utd fans Total = 32 pupils Find the missing angles? Frequency Angle Red 35 Blue 10 Green 15 Total 60 How many Fans did the Other teams have. How many came to school by each method. Statistics: Data display There is a total of 30 trees in the orchard. Complete the pictogram Is the red line a frequency polygon? 10 8 6 4 2 0 10 20 30 40 50

  11. What colour is the mode? yellow What is wrong with this bar chart? Bars different width What was the mode?Age 8 10 8 6 4 2 0 10 8 6 4 2 0 frequency frequency Topic 12 7 8 age 9 10 A B C Find the missing angles? Frequency Angle Red 35 Blue 10 Green 15 Total 60 80 people = Man Utd fans How many Fans did the Other teams have. C = 40 A = 40 MC = 160 There is a total of 30 trees in the orchard. Complete the pictogram. Total = 32 pupils How many came to school by each method. Cy = 4 C = 4 W = 8 B = 16 Statistics: Data display 210 60 90 360 Is the red line a frequency polygon? No - not in middle 10 8 6 4 2 0 10 20 30 40 50

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