In the Venn diagram, the shaded portion represents ………………

Evaluate

Find the truth set of n ⊗ n =1

If n ⊗ (4 ⊕ 5) = 6, find n.

Find the truth set of 4 ⊕ (n ⊗ n)=1.

Write 7.30713 correct to three significant figures.

Find the value of

Three people shared 0540,000.00 in the ratio 2:3:4. Find the least amount received.

Which of the following is an illustration of the inequality -5 ≤ x < 0 on the number line?

Find the median of the numbers 25, 57, 17, 33, 73, 81, 42.

If 314_x = 45_nine find x.

If 3x + 2y =4 and 3x − 2y =8, find the value of x.

Make g the subject of the relation T = 2π√(l/g)

Evaluate p + q – 2r

P varies directly as the square of Q. If P =3 when Q =2, find Q when P =27

The sum of two numbers is 72. The difference between them is 26. Find the smaller number.

In the diagram, |AB| = 12 cm, |BE| = 8cm and |CD| = 30cm. BE and CD are perpendicular to the base ABC.

Find the length |BC|

In the diagram, |AB| = 12 cm, |BE| = 8cm and |CD| = 30cm. BE and CD are perpendicular to the base ABC.

Find angle CDA

A die is rolled once. What is the probability that a number less than 3 shows up?

A company reduced the prices of its goods by 13% during a promotional sale. A product was sold for ¢43,500.00 during the promotional sales. What was the price before the promotional sales?

The diagram above shows the arcs used in constructing the angle XYZ. What is the size of the angle?

Solve x² +x − 6=0

A motorist covers 3 km in 4 minutes. What is his average speed in ms‾¹?

The point P(−3, 4) is reflected in the line y = 2. Find the image of P.

Factorise a² – (a – b)²

The bearing of a point Q from another point P is 1100. Find the bearing of P from Q.

Express 0.415 as a fraction in its lowest term.

Evaluate a² − (a − ab), if a= −3 and b = 5.

In the diagram, AB is a diameter of the circle. The tangent at C meets AR produced at D and ∠CAB = 31°

Find ∠CBA.

In the diagram, AB is a diameter of the circle. The tangent at C meets AR produced at D and ∠CAB = 31°

Find ∠ADC.

Find the equation of the line that passes through the point (−1, 5) and has gradient 1/2.

The ratio of sheep to goats on a farm is 7:5. If there are 910 sheep, how many goats are there on the farm?

Simplify

Solve the equation

The marks obtained in a test by 40 students are tabulated as follows:

How many students scored more than 5 marks?

The marks obtained in a test by 40 students are tabulated as follows:

Calculate the mean mark for the class.

Find the length of the vector

A number is chosen from the set {2, 3, 4, 5, 6}. What is the probability that it is even?

What is the image of (-6, 4) under the mapping

Find the truth set of the equation 5 + 4x – x² = 4 – x

Find the equation of the axis of symmetry to the curve.

Find the truth set of the equation 5+4x−x² =0

In the diagram below, O is the centre of the circle ABCD. If ∠ABC = 55°, find the value of y.

2r = p + q, Find r.

In the diagram, |PQ| = |PR| = |RS|. Find the size of the angle QPR.

A trader bought a bag for ¢125,000.00. He later sold it at a profit of 30%. What was his selling price?

P, Q, R and S are points on the circle with centre O. ∠OPS = 30° and ∠POR =140°

What is the size of the angle a?

P, Q, R and S are points on the circle with centre O. ∠OPS = 30° and ∠POR =140°

What is the size of the angle b?

The diagram below is a garden in the form of a sector. The angle of sector is 45° and the radius is 10m. Find the perimeter of the garden. [Take r = 3.142]

Find the image of (5, -8) under the mapping