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Whiteboardmaths.com © 2004 All rights reserved

BBBB EEEE DDDD BBBB DDDD CCCC EEEE BBBB DDDD CCCC DDDD CCCC EEEE BBBB CCCC EEEE ALGEBRA NUMBER SHAPE SPACE & M SPACE & M HANDLING DATA

Back to board Answer Calculate: 3 4 of £32

Back to board Explain? 3 4 of £32 £24 Calculate:

Back to board 3 4 of £32 £24 Calculate: 1 4 = £ = £24 8

Back to board Answer What is the ratio of dogs to teddy bears in simplest form? The Toy Box

Back to board 3:2 What is the ratio of dogs to teddy bears in simplest form? The Toy Box Explain?

Back to board 3:2 What is the ratio of dogs to teddy bears in simplest form? The Toy Box 6:4 = 3:2 (dividing both numbers by 2)

Back to board Answer Estimate the answer to: x 48

Back to board Explain? Estimate the answer to: x 48 5

Back to board Estimate the answer to: x x = Round all numbers to 1 significant figure.

Back to board Answer 3.6 x x x Calculate the following giving your answer in standard form correct to 2 sig fig.

Back to board Explain? 3.6 x x x x Calculate the following giving your answer in standard form correct to 2 sig fig.

Back to board 3.6 x x x x (3.6 EXP EXP 5)  8.1 EXP - 7 = The Key Press sequence is: Could be 7 +/- depending on calculator Calculate the following giving your answer in standard form correct to 2 sig fig.

Back to board Answer A(2,8) B(9,8) C(9,4) D(?,?) The vertex co-ordinates of the rectangle are as shown. The red point p is midway between A and B. (a) What are the co-ordinates of vertex D? (b) What are the co-ordinates of the red point p? p x y

Back to board A(2,8) B(9,8) C(9,4) D(?,?) D (2,4) p (5½, 8 ) The vertex co-ordinates of the rectangle are as shown. The red point p is midway between A and B. (a) What are the co-ordinates of vertex D? (b) What are the co-ordinates of the red point p? p Explain? x y

Back to board A(2,8) B(9,8) C(9,4) D(?,?) D (2,4) p (5½, 8 ) The vertex co-ordinates of the rectangle are as shown. The red point p is midway between A and B. (a) What are the co-ordinates of vertex D? (b) What are the co-ordinates of the red point p? p D has the same x co-ordinate as A and the same y co-ordinate as C. x y p has an x co- ordinate ½ way between A and B but has the same y co-ordinate. 2 + ½ (9 - 2) = 5½

Back to board Answer Which one of the graphs below is the graph of y = 2x + 1. x y x y x y A B C

Back to board x y x y x y A B C  Explain? Which one of the graphs below is the graph of y = 2x + 1.

Back to board x y x y x y A B C  Choose two x values. 2 x = 1 and 2 x = 3 (both lay on line) Which one of the graphs below is the graph of y = 2x + 1.

Back to board Answer 5 x - 7 < 2 x + 5 Solve the inequality:

Back to board Explain? Solve the inequality: x < 4 5 x - 7 < 2 x + 5

Back to board Solve the inequality: x < 4 3 x - 7 < 5 (subtracting 2 x from both sides) 5 x - 7 < 2 x x < 12 (adding 7 to both sides) x < 4 (dividing both sides by 3)

Back to board Answer State the equation of the line shown y x

Back to board Explain? y x State the equation of the line shown. y = 2x - 4

Back to board y x State the equation of the line shown. y = 2x Gradient = 4/2 = 2 y intercept = - 4

Back to board Answer 1 l 2 l 3 l 4 l This container has a capacity of 5 litres. How many gallons of liquid are in the container at the moment?

Back to board 1 l 2 l 3 l 4 l This container has a capacity of 5 litres. How many gallons of liquid are in the container at the moment? 1 gallon Explain?

Back to board 1 l 2 l 3 l 4 l This container has a capacity of 5 litres. How many gallons of liquid are in the container at the moment? 1 gallon 4 ½ litres  1 gallon

Back to board Answer Calculate angle a a

Back to board Calculate angle a a Angle a = 130 o Explain?

Back to board Calculate angle a a Angle a = 130 o Exterior angles of a polygon add to 360 o ( ) = 130 o

Back to board Answer Calculate the area of the trapezium. 14 cm 8 cm 10 cm Not to scale.

Back to board Explain? Calculate the area of the trapezium. 14 cm 8 cm 10 cm 110 cm 2 Not to scale.

Back to board Calculate the area of the trapezium. 14 cm 8 cm 10 cm 110 cm 2 Area = ½ the sum of the parallel sides x height. ½ (14 + 8) x 10 = 11 x 10 = 110 Not to scale.

Back to board Answer Find the value of m. 3 m Not to Scale

Back to board Explain? Find the value of m. 3 m Not to Scale m = 2.5

Back to board Find the value of m. 3 m Not to Scale m = 2.5 Both quadrilaterals are similar. m 10 = 3 12 m = 10 x 3 12 = 2.5

Back to board Answer Decide whether the type of data below is discrete or continuous in each case. The number of pages in a book. The number of people in a race. The temperature at midday.

Back to board Decide whether the type of data below is discrete or continuous in each case. The number of pages in a book. The number of people in a race. The temperature at midday. Discrete Continuous Discrete

Back to board Answer Shoe SizeFrequency The table shows the shoe sizes bought by some customers at a shoe shop on Friday. What was (a) the modal shoe size? (b) the median shoe?

Back to board Shoe SizeFrequency Mode = 8 Median = 7 Explain? The table shows the shoe sizes bought by some customers at a shoe shop on Friday. What was (a) the modal shoe size? (b) the median shoe?

Back to board Shoe SizeFrequency Mode = 8 Median = 7 The mode is the data value of highest frequency The median is the middle data value. ( )/2 = 7.5 so take 8 th value. The table shows the shoe sizes bought by some customers at a shoe shop on Friday. What was (a) the modal shoe size? (b) the median shoe?

Back to board Answer The counters shown are placed in a bag and one is removed at random. What is the probability that the counter is a 9 or red?

Back to board Explain? The counters shown are placed in a bag and one is removed at random. What is the probability that the counter is a 9 or red? ¼

Back to board The counters shown are placed in a bag and one is removed at random. What is the probability that the counter is a 9 or red? ¼ P(9 or red) =P(9) + P(red) = 1/12 + 2/12 = 3/12 = ¼

Back to board Answer Cumulative Frequency Hours The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. Find the inter- quartile range for this data.

Back to board Explain? Cumulative Frequency Hours The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. Find the inter- quartile range for this data.  110 hours

Back to board Cumulative Frequency Hours The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. Find the inter- quartile range for this data. Upper quartile  110 hours  lower quartile ¼ of 120 = 30 and ¾ of 120 = 90