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: 2 3 of £18
Back to board Explain? 2 3 of £18 £12 Calculate:
Back to board 2 3 of £ = £ = £12 Calculate: £12
Back to board Answer What is the ratio of soldiers to ducks in simplest form? The Toy Box
Back to board 1:3 The Toy Box Explain? What is the ratio of soldiers to ducks in simplest form?
Back to board 1:3 The Toy Box 2:6 = 1:3 (dividing both numbers by 2) What is the ratio of soldiers to ducks in simplest form?
Back to board Answer Estimate the answer to: x 46
Back to board Explain? Estimate the answer to: x 46
Back to board Estimate the answer to: x = Round all numbers to 1 significant figure x 46
Back to board Answer 4.5 x x x Calculate the following giving your answer in standard form correct to 2 sig fig.
Back to board Explain? 3.8 x x x x Calculate the following giving your answer in standard form correct to 2 sig fig.
Back to board 3.8 x (4.5 EXP EXP 7) 6.1 EXP - 8 = The Key Press sequence is: Could be+/- 8 depending on calculator 4.5 x x x Calculate the following giving your answer in standard form correct to 2 sig fig.
Back to board Answer A(1,7) B(8,7) C(8,3) 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(1,7) B(8,7) C(8,3) D(?,?) D (1,3) p (4½, 7 ) 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 D (1,3) p (4½, 7 ) 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? D has the same x co-ordinate as A and the same y co-ordinate as C. p has an x co- ordinate ½ way between A and B but has the same y co-ordinate. 1 + ½ (8 - 1) = 4½ A(1,7) B(8,7) C(8,3) D(?,?) x y p
Back to board Answer Which one of the graphs below is the graph of y = x. x y x y x y A B C
Back to board x y x y x y A B C Which one of the graphs below is the graph of y = x. All points on this line have a y value equal to the corresponding x value.
Back to board Answer 8 x - 6 3 x + 9 Solve the inequality:
Back to board Explain? Solve the inequality: x 3x 3 8 x - 6 3 x + 9
Back to board Solve the inequality: 5 x - 6 9 (subtracting 3 x from both sides) 5 x 15 (adding 6 to both sides) x 3 (dividing both sides by 5) 8 x - 6 3 x + 9 x 3x 3
Back to board Answer State the equation of the line shown y x
Back to board Explain? State the equation of the line shown. y = ½ x y x
Back to board State the equation of the line shown y x y = ½ x + 2 y intercept = Gradient = ½
Back to board Answer 2 l 4 l 6 l 8 l This container has a capacity of 10 litres. How many gallons of liquid are in the container at the moment?
Back to board 2 l 4 l 6 l 8 l 2 gallons Explain? This container has a capacity of 10 litres. How many gallons of liquid are in the container at the moment?
Back to board 2 l 4 l 6 l 8 l 2 gallons 4½ litres 1 gallon This container has a capacity of 10 litres. How many gallons of liquid are in the container at the moment?
Back to board Answer Calculate angle a a
Back to board Calculate angle a. Angle a = 115 o Explain? a
Back to board Calculate angle a. Exterior angles of a polygon add to 360 o ( ) = 115 o a Angle a = 115 o
Back to board Answer Calculate the area of the trapezium. 12 cm 8 cm 9 cm Not to scale.
Back to board Explain? Calculate the area of the trapezium. 12 cm 8 cm 9 cm 90 cm 2 Not to scale.
Back to board Calculate the area of the trapezium. 12 cm 8 cm 9 cm 90 cm 2 Area = ½ the sum of the parallel sides x height. ½ (12 + 8) x 9 = 10 x 9 = 90 Not to scale.
Back to board Answer Find the value of k k Not to Scale
Back to board Explain? Not to Scale k = 10 Find the value of k k
Back to board Not to Scale k = 10 Both quadrilaterals are similar. k 2.5 = 12 3 k = 2.5 x 12 3 = 10 Find the value of k k
Back to board Answer Decide whether the type of data below is discrete or continuous in each case. A persons shoe size. The length of a film. The time taken to run a race.
Back to board Decide whether the type of data below is discrete or continuous in each case. Continuous Discrete Continuous A persons shoe size. The length of a film. The time taken to run a race. Remember: shoe sizes come in whole sizes or halves. 5, 5 ½, 6, 6 ½ etc
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 = 7 Median = 6 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 = 7 Median = 6 The mode is the data value of highest frequency The median is the middle data value. ( )/2 = 9.5 so take 10 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 removed is a square number or blue?
Back to board Explain? 7/ The counters shown are placed in a bag and one is removed at random. What is the probability that the counter removed is a square number or blue?
Back to board P(square or blue) = P(square) + P(blue) = 4/12 + 3/12 = 7/ The counters shown are placed in a bag and one is removed at random. What is the probability that the counter removed is a square number or blue? 7/12
Back to board Answer The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. How many bulbs lasted less than 350 hours?
Back to board Explain? Cumulative Frequency Hours 89 The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. How many bulbs lasted less than 350 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. How many bulbs lasted less than 350 hours? 89