P={x: x < 5}, Q = {x:2<x<5} and R = {odd numbers} are subsets of, μ= {2,3,4,5,6,7,8,9}. Find P ∩ Q ∩ R’.

P={x: x < 5}, Q = {x:2<x<5} and R = {odd numbers} are subsets of, μ= {2,3,4,5,6,7,8,9}. Find P ∩ Q ∩ R’. Find (P U Q) ∩ R’.

Write 57774, correct to three significant figures.

In a class, 24 students read Physics, 21 read Mathematics and 9 read both Physics and Mathematics. If each student reads at least one of the two subjects, find the number of students in the class,

Evaluate

Simplify √450 – √200

Evaluate

Arrange 11011_two, l30 _two, 26_ten in ascending order of magnitude.

Make m the subject of the relation

A function is defined by f😡 → x/(2x+1). For what value of x is f undefined.

If log₁₀ 2 = m and log₁₀ 3 = n, find the value of log₁₀ 24 in terms of m and n.

If 1/a = b – 1/c. Find an expression for c in terms of a and b.

Multiply 5.8×10‾² by 9.5 x 10³ and leave your answer in standard form.

In addition and multiplication tables for modulo 5 are as follows.

Find the truth set of 4 ⊗ (n ⊕ 4) = 3

In addition and multiplication tables for modulo 5 are as follows.

Find the truth set of (n ⊕ 1) ⊗ (n ⊕ 1) = 4

Express 0.0000163 in standard form.

Find the truth set of the equation

2^9x-3 = 8^3-x

Solve the inequality 3x – 4 < 5x +4

Find the vector which translates the point (1, 3) to the point (3, 2).

The following shows the mapping x → y.

When the point (4, 5) is rotated through an angle in the anti-clockwise direction about the origin, its image is (-5, 4). What is the angle of rotation?

Express 23ten in the binary system.

Kwame borrowed ¢300,000.00 from a finance company. He repaid the loan in six equal instalments of ¢55,000.00. How much interest did he pay?

The pie chart shows how Mr. Ade spent his housing loan.

What percentage of the loan was used to purchase materials and land?

The pie chart shows how Mr. Ade spent his housing loan

Find the angle representing labour.

Find the length of the vector

(4)
(-2)

Solve (2x+ 1)(2—x)=0

If x – y = 1 and 5x – 2y= -1, find the value of x + y.

If S = {1, 9, 25, 49, 81 }. Which of the following adequately defines S?

Which of the following illustrates the solution set of 4 — 3x ≥ —5?

Factorise completely the expression

(h + 2k)² + 4k² -h²

A quantity z varies directly as the square root of x and inversely as the cube of y. If z = 8 when x = 4 and y= 4, find the relation for z in terms of x and y.

In the diagram PQRS and PUT are straight lines. ∠RUT = 90° and ∠PQU = 130°.

If |PQ|= |QU|, find the value of x.

What is the size of the angle ∠SQR in the above construction?

A number is chosen at random from the set A = {1, 2, 3, …, 10). What is the probability that it is either a factor of 24 or a multiple of 5?

An amount of ¢2,500,000 invested for 5 years yielded simple interest of ¢375,000.

Find the rate of interest per annum.

What is the time, in minutes, taken to cover 8.1 km at an average speed of 5 ms‾¹?

P(-2, 1) and Q(-1, 2) are two points. Find →PQ

The table shows the masses of 100 students in a polytechnic.

What percentage of the students have a mass of 73 kg?

The table shows the masses of 100 students in a polytechnic.

Find the modal mass of the students.

The table shows the masses of 100 students in a polytechnic.

Calculate the mean mass of the students.

The table shows the masses of 100 students in a polytechnic.

Find the median mass of the students.

The diagram shows the graphs of y= 3 + 2x—x and y=x + 2.

Find the co-ordinates of the maximum point of the curve of y = 3 + 2x – x².

The diagram shows the graphs of y= 3 + 2x—x and y=x + 2.

Solve the equation 3 + 2x + x² = 2 + x.

The diagram shows the graphs of y= 3 + 2x—x and y=x + 2.

Which of the following is/are true of the curve y=3 +2x—x²?

I. 3+2x—x2>0 for—1<x<3

II. 3+2x—x2>0 for—l>x<3

III. 3+2x—x2<0 for—1<x<3

The bearing of Q from P is 040° and the bearing of R from P is 130°. If |PQ| r and |PR| = 2r, find |QR|

In the diagram above, ∠PQR = ∠PRS = 90°, |PS|= 10 cm, |PQ| =3 cm and |QR|=4cm Find |RS|.

Find 3a – b.

Triangle QRS is an enlargement of triangle ABC with scale factor 3. If the area of triangle QRS is 72 cm², find the area of triangle ABC.

In the diagram above, FLQ, GRM, PQRS and KLMN are straight lines. ∠FLM = 123° ∠LMR= 85°, ∠GRS=93°and ∠LQR=x°. Find x.