Area and perimeter Angles Algebra Triangles

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Presentation transcript:

1 2 3 4 5 6 8 7 9 Area and perimeter Angles Algebra Triangles Statistics Probability 4 5 6 Bearings Solids Graphs 8 7 9

Angles Foundation Higher

B E D A F C Check Lines AB and CD are parallel. EF is perpendicular to AB. Angle FAE = 47o B E D 47o A F C Statements Angle AFC is 47o EF is perpendicular to CD Angle AFE is 47o Check Which statements are true?

Back Similar Question Statements 1 & 2 are true Statement 3 is false. Angle AFE = 43o Did you get it right? Home

B E D A F C Check Lines AB and CD are parallel. AF = AE. Angle AFE = 70o D A 70o F Statements Angle FAE is 40o Angle EFD = 70o Angle AFC is 40o C Check Which statements are true?

All 3 statements are true. Back All 3 statements are true. Did you get it right? Home

B A O D Statements Angle BCD = 35o Angle CBD = 55o Angle AOC = 70o C Chords AD and CB intersect at the centre of the circle, O. Angle CDA = 35o B A O D 35o Statements Angle BCD = 35o Angle CBD = 55o Angle AOC = 70o C Check Which statements are true?

All three statements are true. Back Similar Question All three statements are true. Choose a new starter Home

B A E D Statements Angle DAB = 40o Angle ABC = 40o Angle AEC = 80o C Chords AD and CB intersect at point E. Angle CDA = 40o B A E D 40o Statements Angle DAB = 40o Angle ABC = 40o Angle AEC = 80o C Check Which statements are true?

Back Choose a new topic Home Statement 1 is false because the lines AB and CD are not parallel Statement 2 is true (angles on same arc) Statement 3 is false because E is not the centre of the circle Choose a new topic Home

Area & Perimeter Foundation Higher

This large rectangle is made from 4 smaller rectangles, each measuring 2cm by 4cm Statements The perimeter of a small rectangle is 12cm The perimeter of the large rectangle is 48cm The area of the large rectangle is 24cm2 Which statements are true? Check

Back Similar Question Only statement 1 is true. The large rectangle measures 8cm by 4cm so its perimeter is 24cm and its area is 32cm2 Well done if you got it right Home

This shape is made from 6 rectangles, each measuring 3cm by 5cm and a red rectangle Statements The perimeter of the red rectangle is 18cm The area of the red rectangle is 14cm2 Less than 10% of the whole shape is red. Which statements are true? Check

Statement 3 is not accurate. Back Statements 1 & 2 are true. Statement 3 is not accurate. Over 13% is red. Well done if you got it right Home

A B C D Check ABCD is a trapezium. AB = AD = 3cm DC = 7cm BAD = ADC = 90o 3cm A B 3cm C D 7cm Statements The area of the trapezium is 15cm2 BC is 7 cm The perimeter of the trapezium is 18cm Which statements are true? Check

You need to use Pythagoras’ Theorem to find the length of BC. Back Similar Question Statements 1 & 3 are true Statement 2 is false. You need to use Pythagoras’ Theorem to find the length of BC. Did you get it right? Home

B A E C D Check ABCD is a rhombus Diagonal AC = 12cm Diagonal DB = 16cm Angle BAC = 55o A 55o E C D Statements Angle ABC = 70o Perimeter of the rhombus = 40 cm Area of rhombus = 96cm2 Which statements are true? Check

All 3 statements are true. Back All 3 statements are true. The diagonals of a rhombus bisect each other at right angles so you can use Pythagoras’ Theorem to calculate the length of a side. Home

Algebra Foundation Higher

Add two touching bricks to obtain the expression in the brick above them. 100 13x ? 7x 6x x Statements 7x + 6x = 13x 6x + x = 7x The value of x must be 5 Check Which statements are true?

All 3 statements are true Back Similar Question All 3 statements are true 20x = 100 x = 5 Home

Add two touching bricks to obtain the expression in the brick above them. 60 4x + 2 ? 3x + 7 x - 5 5x + 3 Statements (3x + 7) + (x – 5) = 4x + 2 (x – 5) + (5x + 3) = 6x + 2 The value of x must be 6 Check Which statements are true?

Statement 2 is not true because (x – 5) + (5x + 3) = 6x - 2 Back Statements 1 & 3 are true. Statement 2 is not true because (x – 5) + (5x + 3) = 6x - 2 Was it easy? Home

This is a 12m by 10m rectangular garden This is a 12m by 10m rectangular garden. On two sides is a path of x metres width. The remaining two thirds of the garden is grass. x m 10 m x m 12 m Statements x < 10 x 2 - 22x + 40 = 0 The width of the path is 2 cm Check Which statements are true?

Statement 3 is not true because the width is 2 metres (not cm) Back Similar Question Statements 1 & 2 are true. Statement 3 is not true because the width is 2 metres (not cm) Did you get it right? Home

Check Statements Which statements are true? This is a 12m by 10m rectangular garden. A path of width y metres surrounds a lawn at the centre of the garden. 12 m The area of the path is twice the area of the lawn. 8 m y m Statements The area of the path is 64 cm2 The area of the path is 44y cm2 y < 2 y m Check Which statements are true?

Only statement 1 is true. The area of the path is 8y 2 – 80y + 192 Back Only statement 1 is true. The area of the path is 8y 2 – 80y + 192 so y = 2 Home

Triangles Foundation Higher

Check Statements You can use Pythagoras’ Theorem to find AC ABC is a right angled triangle A Statements You can use Pythagoras’ Theorem to find AC AC2 = 152 + 82 AC =289 m 15 m B C 8 m Check Which statements are true?

Statements 1 & 2 are true. Back Similar Question Statement 3 is false. AC = √289 = 17 m Home

Check Statements You can use Pythagoras’ Theorem to find x. A 13-foot ladder leans against a 12-foot wall so that the top of the ladder just reaches the top of the wall. A bottom of the ladder is x feet from the base of the wall. 12 feet 13 feet Statements You can use Pythagoras’ Theorem to find x. x2 = 122 + 132 The value of x is 5 x feet Check Which statements are true?

The correct equation is 132 = 122 + x 2 Back Statements 1 & 3 are true. Statement 2 is false. The correct equation is 132 = 122 + x 2 Choose a new starter Home

Θ Check Statements Tan Θ = 12/13 Tan Θ = 2.4 A 13-foot ladder leans against a 12-foot wall so that the top of the ladder just reaches the top of the wall. A ladder makes an angle of Θ with the ground. 12 feet 13 feet Statements Tan Θ = 12/13 Tan Θ = 2.4 The value of Θ is 67.3o to 1 decimal place Θ Check Which statements are true?

Statement 1 is false because Back Similar Question Only statement 2 is true. Statement 1 is false because Sin Θ = 12/13 Statement 3 is false because Θ is 67.4o to 1 d.p. Home

Check Statements tan 12o = 75/x 75cm = 7.5 m x = 3.53 to 3 s.f. A wheel chair ramp rises by 75 cm. The angle of the ramp is 12o. The length of the ramp is x metres. 75cm 12o x m Statements tan 12o = 75/x 75cm = 7.5 m x = 3.53 to 3 s.f. Check Which statements are true?

Back Only statement 3 is true. 75 cm = 0.75 m So tan 12o = 0.75/x Home

Statistics Foundation Higher

Check Which statements are true? Statements The mode is 7 years This table shows the ages of children in a club. Age in years Frequency 7 2 8 9 10 11 3 4 5 Statements The mode is 7 years The median is 9 years The mean is 45 ÷ 21 Check Which statements are true?

None are true Back Similar Question Home The mode is the most common age = 10 years The median is the middle age in order (11th out of 21) Median = 10 years. Sum of the ages = 14 + 24 + 36 + 70 + 55 So the mean is 199 ÷ 21 = 9.48 Home

Check Which statements are true? Statements This table shows the ages of people in a village. Age in years Frequency 0 < x ≤ 20 3 20 < x ≤ 40 40 < x ≤ 60 60 < x ≤ 80 80 < x ≤ 100 9 4 6 Statements The ages of 25 people are recorded The modal class is 20 < x ≤ 40 The best estimate for the median is 50 Check Which statements are true?

Statements 1 & 2 are true. Back Statement 3 is not true. Home The median value is the first of the 4 values in the 40 < x ≤ 60 interval. So 45 is a better estimate. Home

Check Which statements are true? Statements This table shows the number of books read by a class of pupils during a Charity Readathon Number of books Frequency 5 13 6 7 8 9 4 3 1 Statements Altogether there were 30 pupils Altogether, they read 35 books Mean = 6 books Check Which statements are true?

The pupils read 180 books altogether Back Similar Question Statements 1 & 3 are true. Statement 2 is not true. The pupils read 180 books altogether Try another Home

This table shows the ages of people who live in a village. Number of books Frequency Age in years 0 < x ≤ 20 3 20 < x ≤ 40 40 < x ≤ 60 60 < x ≤ 70 70 < x ≤ 100 9 4 6 Statements A good estimate for the mean is 45 years The most densely populated class is 20 < x ≤ 40 On a histogram the relative frequency for the interval 60 < x ≤ 70 would be 0.6 Which statements are true? Check

Statements 1 & 3 are true. Back Statement 2 is not true. Home 20 < x ≤ 40 is the most populated but not the most densely populated (relative frequency is 0.45) Home

Probability Foundation Higher

Check Which statements are true? Each day the school bus passes a set of traffic lights. The probability the lights are red is 0.35 The probability the lights are amber is 0.1 Statements Probability that the lights are red or amber = 0.36 Probability that they are green = 0.55 Probability that they are not red = 0.75 Which statements are true? Check

prob (not red) = 1 – prob (red) = 0.65 Back Similar Question Statements 1 is not true ( 0.35 + 0.1 = 0.45) Statement 2 is true prob(green) = 1 – 0.45 Statement 3 is not true. prob (not red) = 1 – prob (red) = 0.65 Home

A ball is picked at random from each bag Bag A Bag B Statements The probability of picking a blue ball from bag A is 0.3 You are more likely to pick a blue from bag B than bag A You are more likely to pick green from bag A than bag B Check Which statements are true?

Statements 1 is true. Back Statement 2 is not true (probabilities are 0.3 and 0.25) Statement 3 is not true. (probabilities are 0.6 and 0.625) Home

Check Which statements are true? Statements Each day the school bus passes two sets of traffic lights. The probability that the first lights are red is 0.3 The probability that the second lights are red is 0.2 Statements The first set of lights are more likely to be green than the second set. The probability that both lights are red is 0.6 The probability that only one set is red is 0.38 Which statements are true? Check

Statements 1 & 2 are not true. Back Similar Question Statements 1 & 2 are not true. Prob (RR) = 0.2 x 0.3 = 0.06 Statement 3 is true. prob (one red) = prob (GR) + prob (RG) = (0.7 x 0.2) + (0.3 x 0.8) = 0.14 + 0.24 = 0.38 Home

Bag A Bag B Check Which statements are true? Statements Two balls are picked at random – one ball from each bag Bag A Bag B Statements The probability of picking at least one yellow = 0.65 The probability that both are yellow = 0.1 If the ball from bag A is put into bag B before a ball ball is taken from bag B then the probability that the ball from bag B is yellow = 0.28 Which statements are true? Check

Prob (one yellow) = p(yy’) + p(y’y) Back Statement 1 is not true. Prob (one yellow) = p(yy’) + p(y’y) = (0.4 x 0.75) + (0.6 x 0.25) = 0.45 Statements 2 & 3 are true. Home

Solids Foundation Higher

Check Which statements are true? Statements This box has a 4 cm by 5 cm rectangular base and a height of 3 cm 3cm 4cm 5cm Statements The area of the top is 20 cm2 The area of the front face is 15 cm2 The total surface area is 47 cm2 Check Which statements are true?

but statement 3 is not true because total surface area is 94cm2 Back Similar Question Statements 1 & 2 are true but statement 3 is not true because total surface area is 94cm2 Home

Check Which statements are true? Statements Each of these boxes has a 4cm by 5 cm rectangular base The green box has a height of 3cm The blue box has a height of h cm hcm 3cm 4cm 4cm 5cm 5cm Statements Volume of the green box is 60 cm3 Volume of the blue box is 20h cm3 If the volume of the blue box is 76 cm3 then its height is 3.8 cm Check Which statements are true?

All three statements are true. Back All three statements are true. Choose a new starter Home

Check A B F C E D Which statements are true? Statements This is a right-angled triangular prism 8cm B 9cm F C E 12cm D Statements Area of cross section is 108 cm2 Volume = 864 cm3 Total surface area = 396 cm2 Check Which statements are true?

Statements 1& 2 is not true. Back Similar Question Only statement 3 is true Statements 1& 2 is not true. The area of the cross-section is ½ x 9 x 12 = 54 cm2 and so the Volume is 432 cm3 Choose a new question Home

This is a right-angled triangular prism B Journeys between two points are made along the shortest paths 8cm F C E 9cm D Statements Journey A → F → E → D = 29cm Journey A → F → D = 23cm Journey A → B → E = 29cm Check Which statements are true?

Back They are all true. Choose a new question Home

Graphs Foundation Higher

A = (4, 3) Check y A x B Which statements are true? Statements The mid point of line AB = (1, 1) AB = √52 units Check Which statements are true?

All three statements are true. Back Similar Question All three statements are true. Choose a new starter. Home

P = (1, 3) Check y P R Q x T S PQ is parallel to TS PQST is a rhombus Statements PQ is parallel to TS PQST is a rhombus Angle RTS is a right angle Check Which statements are true?

Statement 2 is not true. The shape is a parallelogram Back Statements 1 & 3 are true Statement 2 is not true. The shape is a parallelogram Home

A = (-2, 3) Check y A x B Which statements are true? Statements Gradient of AB is 1 Equation of line AB is y = x + 1 Length AB = 5√10 units Check Which statements are true?

Back Similar Question Home None of the statements are true. The gradient of the line is -1 Hence, the equation of the line is y = -x + 1 or x + y = 1 AB = √50 units = 5√2 units Home

The equation of line AB is y B The equation of line AB is y = ½x + 2 x A C Statements A = (-2,0) Equation of line BC is y = 8 Equation of line through C perpendicular to AB is y = 14 - 2x Check Which statements are true?

Statements 1 & 2 are not true Back Statements 1 & 2 are not true A = (-4, 0) The equation of BC is x = 8 Statement 3 is true. Home

Bearings Foundation Higher

Check Which statements are true? Statements North North lighthouse A positions of a Port, a lighthouse and an island are shown on this map. The Island is on a bearing of 045o from the Port. lighthouse Island 45o Port Statements The Island is East of the lighthouse. The Island is North-East of the Port The Port is South-East of the Island Which statements are true? Check

Back Similar Question Home Only statements 1 & 2 are true. Statement 3 is false because the Port is South-West of the Island Home

Check Which statements are true? Statements North North Island A boat leaves the Port and sails 16km North, goes round a lighthouse and sails East to the Island. The island is 34km from the Port on a bearing of 062o Island lighthouse 16 km 34 km 62o Port Statements The Island is 30km from the lighthouse The bearing of the Island from the lighthouse is 090o The bearing of the Port from the Island is 242o Which statements are true? Check

All three statements are true. Back All three statements are true. Home

Check Which statements are true? Statements North North Harbour Buoy A boat leaves the Port at Noon, sails 30km North, goes round a Buoy and sails to the Harbour on a bearing of 080o. The Harbour is on a bearing of 060o from the Port. The average speed of the boat is 20 km/hr North North Harbour 80o Buoy 30 km 60o Port Statements The bearing of the Buoy from the Harbour is 260o The Harbour is 86.4 km from the Port (3sf) The Boat arrives at the Harbour at 17:18 Which statements are true? Check

All three statements are true. Back Similar Question All three statements are true. You need to use the Sine Rule for this question. Home

Check Which statements are true? Statements North North Reef 30 km The Reef is 20km North of the Port. The wreck is 30 km from the reef on a bearing of 120o Reef 120o 30 km 20 km Wreck Port Statements The Wreck is 26.5km from the Port (to 3sf) The bearing of the Wreck from the Port is 079o to the nearest degree The area of sea within the triangle is 260 km2 (3sf) Which statements are true? Check

All three statements are true. Back All three statements are true. Home