Y10 Maths-D Online Assessment Revision

Y10 Maths-D Online Assessment Revision

​Topics Coverage:

1. Trigonometry

2. ​Properties of circles

3. ​Mensuration

Platform:​

• Edmodo Quiz

​TRIGONOMETRY

• ​Pythagoras theorem

• ​Trigonometry Ratios (SOH CAH TOA)

• ​Further Trigonometry

  • Sine Rule

  • Cosine Rule

  • Area of triangle using Sine Rule​

• ​Bearings

• 3D Problems

  • ​Angles of elevation and depression

​PYTHAGORAS THEOREM & TRIGONOMETRY RATIOS

Fill in the Blanks

Find the value of a.

Correct your answer to 3 significant figures

Fill in the Blanks

Find the value of b. 

Correct your answer to 3 significant figures. 

Fill in the Blanks

Find the value of c.

Correct your answer to 3 significant figures.

Fill in the Blanks

Find the value of d.

Correct your answer to 3 significant figures.

Fill in the Blanks

Find the value of e.

Correct your answer to 3 significant figures.

​FURTHER TRIGONOMETRY

Fill in the Blanks

Find the value of e.

Correct your answer to 1 decimal place.

Fill in the Blanks

Find the value of m.

Correct your answer to 3 significant figures.

Fill in the Blanks

Find the value of m.

Correct your answer to 3 significant figures.

Fill in the Blanks

Find the value of r.

Correct your answer to 1 decimal place.

Fill in the Blanks

Using the answer from the previous question

(r = 73.2⁰)

find the area of the triangle, correct your answer to 3 significant figures.

​BEARING

Fill in the Blanks

Fill in the Blanks

Find a

Fill in the Blanks

Find the bearing of B from A.

Fill in the Blanks

Find the bearing of B from A.

Fill in the Blanks

E is on a bearing of 300° from F.

What is the bearing of F from E?

​ANGLE OF ELEVATION & DEPRESSION

Fill in the Blanks

The angle of depression of a buoy, B, from a point, C, on a cliff is 15º.

The distance BC is 250 m.

A seagull, S, hovers so that it is vertically above B and SB = 300 m.

Find $\angle SBC$  

Fill in the Blanks

The angle of depression of a buoy, B, from a point, C, on a cliff is 15º.

The distance BC is 250 m.

A seagull, S, hovers so that it is vertically above B and SB = 300 m.

Find SC

Fill in the Blanks

The angle of depression of a buoy, B, from a point, C, on a cliff is 15º.

The distance BC is 250 m.

A seagull, S, hovers so that it is vertically above B and SB = 300 m.

Find the angle of elevation of S from C.

Fill in the Blanks

D is a marker at sea level vertically below C and due west of B.

Find DB.

Fill in the Blanks

M is a marker at sea level 200 m from B and DB̂M = 30º.

Find the area of triangle DBM.

Fill in the Blanks

N is a marker at sea level due south of B and DN = 450 m.

A boat sails on a circular course through D, B and N.

Write down the radius of the circle.

​PROPERTIES OF CIRCLES

​PROPERTIES OF CIRCLES

​PROPERTIES OF CIRCLES

​PROPERTIES OF CIRCLES

Fill in the Blanks

Find the unknown length. 

Fill in the Blanks

Find the unknown length. 

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

Find the unknown angle.

Multiple Choice

TA and TB are tangents to the circle with centre O.

Find the marked unknown angles.

• x = 58⁰

  y = 32⁰

• x = 58⁰

  y = 29⁰

• x = 32⁰

  y = 16⁰

• x = 32⁰

  y = 29⁰

Fill in the Blanks

TP and TQ are tangents to the circle with centre O. 

Find the marked unknown length.

Fill in the Blanks

TP and TQ are tangents to the circle with centre O. 

Find the marked unknown length.

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

Find the unknown angle.

Fill in the Blanks

AB is diameter of the circle. 

If ∠AYX = 35⁰ and ∠BXY = 30⁰,

find ∠XYB.

Fill in the Blanks

AB is diameter of the circle. 

If ∠AYX = 35⁰ and ∠BXY = 30⁰,

find ∠XBY.

Open Ended

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$$\angle GOX=y\degree$$  

Find each of these angles, as simply as possible, in terms of y.

Give reasons for your answers.

$$\angle GEO$$  

Open Ended

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$$\angle GOX=y\degree$$  

Find each of these angles, as simply as possible, in terms of y.

Give reasons for your answers.

$$\angle GCX$$  

Open Ended

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$$\angle GOX=y\degree$$  

Find each of these angles, as simply as possible, in terms of y.

Give reasons for your answers.

$$\angle DAB$$  

Fill in the Blanks

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$\angle GOX=y\degree$  

Complete the sentence.

Triangle EGC is congruent to triangle

.

Open Ended

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$$\angle GOX=y\degree$$  

Prove that triangle ADC is similar to triangle OGC.

Give a reason for each statement you make.

Fill in the Blanks

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$\angle GOX=y\degree$  

What special type of quadrilateral is AOGD?

Fill in the Blanks

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$\angle GOX=y\degree$  

Find the ratio of

area of triangle OGC : area of triangle ADC

Fill in the Blanks

The diagram shows two circles each with centre O.

A, B, C and D are points on the circumference of the large circle.

E, F and G are points on the circumference of the small circle.

CGD and CFB are tangents to the small circle.

Lines AEOC and FG intersect at 90° at X.

$\angle GOX=y\degree$  

Find the ratio of

area of triangle OGC : area of quadrilateral ABCD.