Shape 2 Assessment Calculator allowed for all questions

Transcription

1 Shape Assessment Calculator allowed for all questions Foundation Higher All questions Time for the test: 50 minutes Use the π button or take π to be.4 Name: _ Grade Title of clip Marks Score Percentage Clip E to G Angles (qu. ) 4 Clip E to G Congruent/similar shapes (qu. ) Clip E to G Perimeter and area (qu., 4, 5, 6) 6 Clip 4 E to G Volume of cuboids (qu. 7, 8, 9) 9 Clip 5 E to G Metric measures (qu. 0,, ) 4 Clip 6 E to G Polygons (qu. ) 7 Clip 7 E to G Solids (qu. 4, 5) 7 Clip 8 E to G Tessellation (qu. 6, 7) 6 Clip 9 E to G Isometric drawing (qu. 8) Clip 67 D Alternate angles (qu. 9, 0) 6 Clip 68/69 D Angles in triangle (qu., ) 8 Clip 70 D Angles in polygons (qu., 4) 5 Clip 7 D Area of circle (qu. 5, 6) 0 Clip 7 D Circumference of circle (qu. 7) Out of 00 TOTAL SCORE % FINAL PERCENTAGE

2 ) Here is a list of words connected with angles: Acute Obtuse Full turn Right Reflex Straight Choose the correct word to describe each of these angles: a) b) c) d) ) Here are five triangles. a) Which triangle is similar to triangle A? b) Which triangle is congruent to triangle A? Page

3 ) The shaded shape is drawn on a centimetre grid. a) Find the perimeter of the shape. b) Find the area of the shape. 4) Draw, on the centimetre grid below, a rectangle that has an area of cm. 5) A rectangular piece of metal with sides cm and 8cm has two rectangular holes cut out of it as shown. cm 8 cm cm cm 4 cm 5 cm Work out the area of the remaining piece of metal. Page

4 6) A shop sells square carpet tiles in two different sizes. Small Large 40 cm 500 cm 40 cm a) What is the area of a small carpet tile? b) What is the length of a large carpet tile? c) The floor of a rectangular room is 400 cm long and 00 cm wide. How many small tiles are needed to carpet the floor? 7) Here is a prism made of centimetre cubes. Find the volume of the prism. 8) a) Find the volume of this cuboid. cm 4 cm 8 cm b) The volume of this cuboid is 80 cm. What is its height, h? h 4 cm 0 cm Page 4

5 9) Widgets are put into boxes which measures 6 cm by 6 cm by 0 cm. These boxes are then packed into cartons which measure 0 cm by 0 cm by 80 cm Work out the number of boxes which can completely fill one carton ) Tick the correct boxes to say whether the following statements are true or false. TRUE FALSE a) mile is approximately.6 kilometres b) foot is approximately.6 cm c) pound is approximately 450 g d) gallon is approximately 4.5 litres ) a) Complete this table. Write a sensible unit for each measurement. Three have been done for you. Metric Imperial The width of your hand inches The distance between Glasgow and London kilometres The amount of petrol in a petrol tank gallons The weight of a new-born baby 4 b) Change 4 metres to centimetres. cm c) Tony says that.5 km is less than 50 m. Is he right? Explain your answer. Page 5

6 ) Here is the picture of a woman next to a door that is m high. Estimate the height of the woman. ) Here are three quadrilaterals drawn on a square grid. a) Name each quadrilateral. A B A B C C b) (i) On the grid, draw a different type of quadrilateral. (ii) Name the quadilateral you have drawn. 4) Here is a diagram of a -D shape. Write down the number of (i) faces (ii) edges (iii) vertices 5) Write down the mathematical name of each of these -D shapes. a) b) c) d) Page 6

7 6) On the grid, show how this shape tessellates. You should draw at least 6 shapes. 7) On the grid, show how this shape tessellates. You should draw at least 8 shapes. 8) Draw this cuboid on the isometric paper. cm 5 cm 6 cm Page 7

8 9) 64 y a) Find the size of angle x. b) Work out the size of angle y. x 0) 74 8 a) Find the size of angle x. y x b) Work out the size of angle y. ) This triangle has two equal sides. q a) What name is given to this type of triangle? b) Find the values of p and q. 65 p p = q = ) PQR is a straight line. PQ = QR = QS S Angle SPQ = a) (i) Write down the size of angle w. w y (ii) Work out the size of angle x. x P Q R b) Work out the size of angle y. ) 0 5 Work out the size of exterior angle a. 70 a Page 8

9 4) This is a regular pentagon. Calculate the size of each interior angle. 5) Circle A has a radius of cm. Circle B has a diameter of 7 cm. Circle A Circle B a) Work out the area of circle A. Give you answer to one decimal place. b) Work out the area of circle B. Give you answer to one decimal place. cm 7 cm 6) cm 6 cm A circle has a radius of 6 cm. A square has a side of length cm. Work out the difference between the area of the circle and the area of the square. Give you answer correct to one decimal place. 4 7) A circle has a radius of 0 cm. Work out the circumference of the circle. Give your answer correct to one decimal place. 0 cm Page 9