Complete the Venn diagram.

(Write the answers as the order as the blanks)

(a)  

Write down the order of rotational symmetry of the diagram.

(a)  

Find the value of x.

(No need to write degrees)

(a)  

In a sale the original prices are reduced by 15%.

Calculate the sale price of a book that has an original price of $12.

(No need to write $)

(a)  

In a sale the original prices are reduced by 15%.

Calculate the original price of a jacket that has a sale price of $38.25

(No need to write $)

(a)  

Edna invests $500 at a rate of r% per year compound interest.

At the end of 6 years, the value of Edna's investment is $559.78.

Find the value of r.

(a)  

The bearing of B from A is 105°.

Find the bearing of A from B.

(No need to write degrees)

(a)  

Find |p|.

(Write your answer in 3 significant figures)

(a)  

Describe fully the single transformation that maps triangle T onto triangle U.

(Write the answer in this order - transformation, description)

(a)  

Tanya plants some seeds.

The probability that a seed will produce flowers is 0.8 .

When a seed produces flowers, the probability that the flowers are red is 0.6 and the probability that the flowers are yellow is 0.3.

Tanya has a seed that produces flowers.

Find the probability that the flowers are not red and not yellow.

(a)  

Tanya plants some seeds.

The probability that a seed will produce flowers is 0.8 .

When a seed produces flowers, the probability that the flowers are red is 0.6 and the probability that the flowers are yellow is 0.3.

Complete the tree diagram.

(Write your answers in decimals and in this order. Probability of NO, RED, YELLOW, OTHER COLOURS)

(a)  

Tanya plants some seeds.

The probability that a seed will produce flowers is 0.8 .

When a seed produces flowers, the probability that the flowers are red is 0.6 and the probability that the flowers are yellow is 0.3.

Find the probability that a seed chosen at random produces red flowers.

(a)  

Tanya plants some seeds.

The probability that a seed will produce flowers is 0.8 .

When a seed produces flowers, the probability that the flowers are red is 0.6 and the probability that the flowers are yellow is 0.3.

Tanya chooses a seed at random.

Find the probability that this seed does not produce red flowers and does not produce yellow flowers.

(a)  

Tanya plants some seeds.

The probability that a seed will produce flowers is 0.8 .

When a seed produces flowers, the probability that the flowers are red is 0.6 and the probability that the flowers are yellow is 0.3.

Two of the seeds are chosen at random.

Find the probability that one produces flowers and one does not produce flowers.

(a)  

p is directly proportional to $$\left(q+2\right)^2$$ .

When q = 1, p = 1.

Find p when q = 10.

(a)  

A, B, C and D lie on the circle, centre O.

TA is a tangent to the circle at A.

Angle ABC = 131° and angle ADB = 20°.

Find angle ADC.

(No need to write degrees).

(a)  

A, B, C and D lie on the circle, centre O.

TA is a tangent to the circle at A.

Angle ABC = 131° and angle ADB = 20°.

Find angle AOC.

(No need to write degrees).

(a)  

A, B, C and D lie on the circle, centre O.

TA is a tangent to the circle at A.

Angle ABC = 131° and angle ADB = 20°.

Find angle BAT.

(No need to write degrees).

(a)  

A, B, C and D lie on the circle, centre O.

TA is a tangent to the circle at A.

Angle ABC = 131° and angle ADB = 20°.

Find angle OAB.

(No need to write degrees).

(a)  

Triangle ABC is mathematically similar to triangle PQR.

The area of triangle ABC is 16 cm².

Calculate the area of triangle PQR.

(No need to write cm²)

(a)  

Triangle ABC is mathematically similar to triangle PQR.

The area of triangle ABC is 16 cm².

The triangles are the cross-sections of prisms which are also mathematically similar. The volume of the smaller prism is 320 cm³.

Calculate the length of the larger prism.

(No need to write cm)

(a)  

A solid cylinder has radius x cm and height $$\frac{7x}{2}$$ cm.

The surface area of a sphere with radius R cm is equal to the total surface area of the cylinder.

Find an expression for R in terms of x.

[The surface area, A, of a sphere with radius r is A = 4πr².]

(a)  

$$y=x^4-4x^3$$

Find the two stationary points on the graph of $$y=x^4-4x^3$$ .

[Write the coordinates in this form (... , ...), (... , ...)]

(a)  

The diagram shows a field ABCD.

The bearing of B from A is 140°.

C is due east of B and D is due north of C.

AB = 400 m, BC = 350 m and CD = 450 m.

Find the bearing of D from B.

(Write your answer in 1 d.p.)

(a)  

The diagram shows a field ABCD.

The bearing of B from A is 140°.

C is due east of B and D is due north of C.

AB = 400 m, BC = 350 m and CD = 450 m.

Calculate the distance from D to A.

(Write your answer in 1 d.p.)

(a)  

In the diagram, O is the origin, OT = 2TD and M is the midpoint of TC.

vector OC = c and vector OD = d.

Find the position vector of M.

Give your answer in terms of c and d in its simplest form.

[Write your fraction like this. Example: $$\frac{2}{5}a$$ ==> (2/5)a]

(a)