Shape Space Measure Starter Match the diagrams with

Shape, Space & Measure

Starter Match the diagrams with the correct calculations and answers for the volumes of these shapes.

How do I solve problems in maths? Identify Communicate

P 3

Solution Perimeter 4 Operations 4. 5 cm 18 / 4 = 4. 5 cm Perimeter = 18 + 7. 5 + 18 + 7. 5 = 51 cm 3 cm 18 / 6 = 3 cm

P 3

Solution Interior Angles of Quadrilaterals Angle Facts 4 Operations Sum of Interior Angles of Quadrilaterals = 360° 90 ° + 55 ° = 235 ° 360 ° - 235 ° = 125 ° > 90 ° therefore, angle is classified as Obtuse

P 4 Extended Task 1 Calculate the total volume of turf needed to cover this garden. Turf is sold in a depth of 80 mm. Round all answers to 2 d. p.

P 3 Swimming Pool 10 m 12 m 400 cm 2. 5 m Fountain 6 m

Solution 4 x 4 = 16 m 2 X X = √ 100 – 9 = √ 91 = 9. 54 m 12 x 4 = 48 m 2 Π x 1. 252 = 4. 91 m 2 ½ x (6 + 12) x 9. 54 = 85. 86 m 2

Solution Total Area = 16 + 48 + 85. 86 – 4. 91 = 144. 95 m 2 Total Volume = 144. 95 x 0. 08 = 11. 60 m 3

P 3 Extended Task 2

P 4 The murder has been committed in a church. The murder occurred within a 200 m radius of Queen’s Arcade. 1 cm = 50 metres Suspect 1 lives somewhere on Churchill Way. Suspect 1 lives in a house which is Suspect 2 lives somewhere on The equidistant from Bute Terrace and Parade Mary Ann Street. Suspect 2 lives in a house which is equidistant from Cardiff Royal Infirmary and Queen Street Station. Suspect 3 lives 100 metres from the street named Gorsedd Gardens. Suspect 3 lives somewhere on St Andrew’s Place. The murderer lives within 800 metres of the murder site. It takes the murderer less than 2 minutes to run home at a speed of 5 m/s. The murderer left behind a trail of footprints. He/she wears a size 9 shoe. Mr Bale’s body was found at 3: 30 am by a local policeman. Who murdered Mr Bale?

SUSPECT 3 SUSPECT 2 MURDER SITE SUSPECT 1 Answer: Suspect 1