1 / 14

Prelim Revision

Prelim Revision. Group Questions. 1. Algie inherits £180 000, while his sister Agnes inherits £140 000. Algie buys a house with his, while Agnes invests in savings bonds. Unfortunately for Algie, the value of his house starts to depreciate by 5% p.a.

arien
Download Presentation

Prelim Revision

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Prelim Revision Group Questions

  2. 1. Algie inherits £180 000, while his sister Agnes inherits £140 000. Algie buys a house with his, while Agnes invests in savings bonds. Unfortunately for Algie, the value of his house starts to depreciate by 5% p.a. If Agnes’ savings increase by 4.2% p.a. After how many years will they be worth more than the value of Algie’s house? (4)

  3. 1. Algie inherits £180 000, while his sister Agnes inherits £140 000. Algie buys a house with his, while Agnes invests in savings bonds. Unfortunately for Algie, the value of his house starts to depreciate by 5% p.a. If Agnes’ savings increase by 4.2% p.a. After how many years will they be worth more than the value of Algie’s house? (4) Algie 0.95 X 180000 = 171000 0.95 X 171000 = 162450 0.95 X 162450 = 154327.50 Agnes 1.042 X 140000 = 145880 1.042 X 145880 = 152000.96 1.042 X 152000.96 = 158391.25 After three years.

  4. Bearings Start from North Clockwise Measured in degrees Should have 3 digits

  5. Bearing of B from A N 1200 A 1200 B 1800 Bearing of A from B 3000

  6. 2.Ship C is 14km from ship A on a bearing of 1600. Ship B is 18km from ship A on a bearing of 2600 A 1600 18km 2600 14km B C a) Calculate the size of angle BAC (1) b) Calculate distance from B to C. (4)

  7. A 1600 18km 2600 14km B C 2.Ship C is 15km from ship A on a bearing of 1600. Ship B is 20km from ship A on a bearing of 2600 1000 a) Calculate the size of angle BAC (1)

  8. A 1600 18km 2600 14km B C 2.Ship C is 15km from ship A on a bearing of 1600. Ship B is 20km from ship A on a bearing of 2600 1000 b) Calculate distance from B to C. (4) a2 = b2 + c2 – 2bcCosA a2 = 142 + 182 – 2 X 14 X 18 X Cos1000 a2 = 607.52 a = √607.52 a = 24.6km

  9. O C A B D 3. If AD is a tangent and LDBC = 340, Calculate the size of LCDB (4)

  10. O C A B D 3. If AD is a tangent and LDBC = 340, Calculate the size of LCDB (4) 680 560 560 220 340

  11. 4. Solve Graphically x – 2y = 4 y = x – 5 (5)

  12. (6 , 1) 4. Solve Graphically x – 2y = 4 y = x – 5 (5) x – 2y = 4 x = 0, y = -2 (0 , -2) y = 0, x = 4 (4 , 0) y = x – 5 x = 5, y = 0 (5 , 0) x = 6, y = 1 (6 , 1) x – 2y = 4 y = x – 5 Solution x = 6, y = 1

  13. 5. The volumes of the cuboid and the cone are equal. Calculate the height (h) of the cone. (4) 12cm 4cm 8cm h 14cm

  14. 5. The volumes of the cuboid and the cone are equal. Calculate the height (h) of the cone. (4) 12cm 4cm 8cm Cuboid: V = lbh = 8 X 4 X 12 h = 384cm3 Cone: V = 1/3πr2h 14cm = 1/3 X π X 72 X h = 51.3127 X h = 384 so 51.3127 X h ÷ 51.3127 = 384 h = 7.5cm

More Related