In the Venn diagram below, shade in the area that represents
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Probability, SMB-017
Probability, SMB-016
In the Venn diagram below, shade in the area that represents
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Probability, SMB-015
In the Venn diagram below, shade in the area that represents
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Probability, SMB-014
Students studying vocational education courses were surveyed about their living arrangements.
- One of these students is selected at random. What is the probability, correct to the nearest percentage, that this student is male and living with his parent(s)? (2 marks)
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- A female student is selected. What is the probability that she is not living with her parent(s)? (2 marks)
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Probability, SMB-013
A group of coalminers were surveyed about what registered vehicles they own.
They were surveyed on whether they own a car, a motorbike, both or neither and the results were recorded in the Venn diagram below.
Record this information in the partially completed 2-way table below. (2 marks)
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Probability, SMB-012
A group of 20 museum visitors were surveyed about what languages they could speak fluently.
They were surveyed on whether they could speak English or French and the results were recorded in the Venn diagram below.
Record this information in the partially completed 2-way table below. (2 marks)
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Probability, SMB-011
A class of 30 students were surveyed about their pets. They were asked whether they owned a dog, cat, both or neither and the results were recorded in the Venn diagram below.
Record this information in the partially completed 2-way table below. (2 marks)
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Probability, SMB-010
In the Venn diagram below, shade in the area that represents
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Probability, SMB-009
In the Venn diagram below, shade in the area that represents
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Probability, SMB-008
In the Venn diagram below, shade in the area that represents
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Probability, SMB-007
Some men and women were surveyed at a football game. They were asked which team they supported. The results are shown in the two-way table.
A man was chosen at random. What is the probability that he supports Team B, correct to the nearest percent? (2 marks)
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Probability, SMB-006
The subject choices in science at a high school are physics, chemistry and biology.
This Venn diagram shows the number of students who are studying each of the subjects.
A student studying Biology is chosen a random.
What is the probability that the student also studies Chemistry? (2 marks)
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Probability, SMB-005 MC
The subject choices in science at a high school are physics, chemistry and biology.
This Venn diagram shows the number of students who are studying each of the subjects.
How many of these students are studying at least two of these science subjects?
Probability, SMB-004
Zilda took a survey of eighteen year olds, asking if they work, go to school, do both or do neither.
The Venn diagram shows the results.
What is the probability that a person randomly selected from the group goes to school and works, rounded to three decimal places? (2 marks)
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Probability, SMB-003 MC
A country school surveyed 120 of its students about the type of animals they have at home.
The results are recorded in the Venn diagram below, although the number of students who only own horses is missing.
If one of the students is selected at random, what is the probability that the student does not own a goat?
Probability, SMB-002 MC
The table below shows all the people at Angus' birthday party.
What fraction of the children at the party are female?
Probability, SMB-001
A group of 125 people were asked if they wear a watch or not.
This table shows the results.
A man was selected at random.
What is the exact probability that he wears a watch? (2 marks)
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Probability, SMB-015
On a tray there are 12 hard‑centred chocolates
What is the probability of selecting at least one soft-centred chocolate? (3 marks)
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♦ Mean mark 45%.
Probability, SMB-014
A game consists of two tokens being drawn at random from a barrel containing 20 tokens. There are 17 red tokens and 3 black tokens. The player keeps the two tokens drawn.
- Complete the probability tree by writing the missing probabilities in the boxes. (2 marks)
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- What is the probability that a player draws at least one red token? Give your answer in exact form. (2 marks)
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ii.
Special Properties, SMB-025
A quadrilateral is pictured below.
What is the value of
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Special Properties, SMB-026
A pentagon is pictured below, where one internal angle is a right angle.
What is the value of
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Special Properties, SMB-024
A quadrilateral is drawn below.
What is the value of
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Special Properties, SMB-030
A regular decagon is pictured below.
- What is the value of
? (2 marks)
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- What is the size of an internal angle of a decagon? (2 marks)
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Special Properties, SMB-029
A regular nonagon is pictured below.
What is the value of
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Special Properties, SMB-028
A regular hexagon is pictured below.
What is the value of
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Special Properties, SMB-027
A regular pentagon is pictured below.
What is the value of
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Special Properties, SMB-024
A quadrilateral is drawn below.
What is the value of
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Special Properties, SMB-023
A pentagon is drawn below.
What is the value of
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Special Properties, SMB-022
A quadrilateral is drawn below.
What is the value of
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Special Properties, SMB-021
A five sided polygon is drawn below.
What is the value of
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Similarity, SMB-027
- What scale factor is used to convert Circle A into Circle B. (1 mark)
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- Complete this equation:
- Area of Circle A = _____ × Area of Circle B. (1 mark)
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Similarity, SMB-025
A triangular prism is pictured below.
By what factor will its volume change if
- Each dimension is doubled? (1 mark)
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- Each dimension is decreased by two-thirds? (2 marks)
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Similarity, SMB-016
Triangle I and Triangle II are similar. Pairs of equal angles are shown.
Find the area of Triangle II? (3 marks)
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Similarity, SMB-012
Poppy uses a photocopier to enlarge this picture.
The enlarged picture is 3 times as high and 3 times as wide as the original.
By what factor is the area of the picture increased? (2 marks)
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Volume, SMB-017
A deep ocean submarine is constructed in the shape of a sphere.
If the volume of the sphere is 12.1 cubic metres, calculate its diameter in metres, correct to two decimal places. (2 marks)
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Volume, SMB-015
A funnel is made in the shape of a square cone with radius 9.5 centimetres and height 19.5 centimetres.
Find the volume of the funnel in cubic centimetres, giving your answer correct to 2 decimal places. (2 marks)
Volume, SMB-014
The storage building below is constructed by joining a square pyramid to a cube, with all measurements in metres.
Find the volume of the solid in cubic metres. (3 marks)
Volume, SMB-013
The square pyramid below, has a side measurement of 120 metres and a perpendicular height
Find the volume of the pyramid in cubic metres. (2 marks)
Volume, SMB-007
A cannon ball is made out of steel and has a diameter of 23 cm.
Find the volume of the sphere in cubic centimetres (correct to 1 decimal place). (2 marks)
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Volume, SMB-006
A concrete water pipe is manufactured in the shape of an annular cylinder. The dimensions are shown in the diagrams.
Find the approximate volume of concrete needed to make the water pipe, giving your answer in cubic metres correct to two decimal places. (3 marks)
Volume, SMB-005
Two identical spheres fit exactly inside a cylindrical container, as shown.
The diameter of each sphere is 12 cm.
What is the volume of the cylindrical container, to the nearest cubic centimetre? (3 marks)
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Area, SMB-036
Find the surface area of the solid pictured below which is composed of a right cone with a hemisphere attached to the base. Give your answer to the nearest square centimetre. (3 marks)
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Area, SMB-018
A right cone with perpendicular height of 8 cm, slant height of 10 cm and a base diameter of 12 cm is pictured below.
Find the total surface area of the cone, including its base, correct to two decimal places. (3 marks)
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Area, SMB-017
A square pyramid with a slant height of 15 centimetres is pictured below.
Find the total surface area of the pyramid, including its base. (2 marks)
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Area, SMB-016
A square pyramid with a perpendicular height of 8 metres is pictured below.
- Using Pythagoras, calculate the slant height of the pyramid. (2 marks)
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- Find the total surface area of the pyramid, including its base, to the nearest square metre. (2 marks)
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Area, SMB-030
A glass aviary is made up of four triangles and a square, as shown in the diagram below.
Harry is hired to clean the interior sides of the aviary, not including the floor.
What is the area that Harry will need to clean? (2 marks)
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Quadratics and Cubics, SMB-044
Solve for
Round your answer to two decimal places. (2 marks)
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Quadratics and Cubics, SMB-043
Solve for
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Quadratics and Cubics, SMB-042
Solve for
Quadratics and Cubics, SMB-030
Solve the equation
Quadratics and Cubics, SMB-029
Solve the equation
Quadratics and Cubics, SMB-028
Solve the equation
Quadratics and Cubics, SMB-027
Solve the equation
Quadratics and Cubics, SMB-025
Solve the equation
Inequalities, SMB-022
Inequalities, SMB-021
Solve
Inequalities, SMB-020
Solve
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Inequalities, SMB-019
Solve
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Inequalities, SMB-018
Solve
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Inequalities, SMB-017
Solve
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