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

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​FURTHER TRIGONOMETRY

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​BEARING

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​ANGLE OF ELEVATION & DEPRESSION

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​PROPERTIES OF CIRCLES

​PROPERTIES OF CIRCLES

​PROPERTIES OF CIRCLES

​PROPERTIES OF CIRCLES

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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

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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.

$$\angle DAB$$  

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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.

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