3NA_WA 3 Revision WS

(1) Write 250 000 in standard form.

(2) Write 0.000184 in standard form.

(4) In the diagram, $$\angle ABC=90\degree$$ , AB = 12 cm, BC = 5 cm and AC = 13 cm. Write down as a fraction, the value of $$\tan\angle BAC$$ .

(7) Given that the equation of a line is $$3y+6x=5,$$ find the

value of k if $$\left(1,k\right)$$ lies on the line.

(9) The coordinates of two points A and B are $$\left(-6,5\right)$$ and $$\left(7,-2\right)$$ . Find the equation of the line AB.

(12) Find the equation of the line passing through $$\left(8,-2\right)$$ with gradient $$-\frac{1}{4}$$ .

(13) The population of San Marino and the world population in 2020 were 34017 and 7.75 billion respectively. Find the population of San Marino as a percentage of the world population. Give your answer in standard form, correct to 2 significant figures.

_____%

(18) A line passes through A(– 2 , 1) and B(– 7 , –10). Find the gradient of AB.

gradient = _______

(19) In the diagram, $$\angle ABC=90\degree$$ , AB = 12 cm, BC = 5 cm and AC = 13 cm. Write down, as a fraction, the value of $$\sin\angle ACB$$ .

(20) In the diagram, $$\angle ABC=90\degree$$ , AB = 12 cm, BC = 5 cm and AC = 13 cm. Write down, as a fraction, the value of $$\cos\angle BAC$$ .

(21) In the diagram, ABC is a straight line. $$\angle ABD=\angle ADC=90\degree$$ , AD = 10 cm and BD = 8 cm. Calculate angle DAB.

______ $$\degree$$

(21) In the diagram, ABC is a straight line. $$\angle ABD=\angle ADC=90\degree$$ , AD = 10 cm and BD = 8 cm. Calculate the length of BC.

______ cm

(25) QRN is a right-angled triangle where QN = 6 cm and NR = 8 cm. PQN is a straight line. Expressing your answer as a fraction in its simplest form, find $$\tan\angle QRN$$ .

(26) QRN is a right-angled triangle where QN = 6 cm and NR = 8 cm. PQN is a straight line. Expressing your answer as a fraction in its simplest form, find $$\cos\angle PQR$$ .

(27) QRN is a right-angled triangle where QN = 6 cm and NR = 8 cm. PQN is a straight line. Expressing your answer as a fraction in its simplest form, find $$\sin\angle PQR$$ .