3D shapes - Rising Stars

36 EXCELLENCE IN WORD PROBLEMS YEAR 53D shapes3D shape questions will often ask you to recognise arange of 3D shapes and count them. This activity isa tricky one, so work step-by-step.This is the Space Port of‘R-Star City’ which hasjust experienced aterrible earthquake!Passenger terminalPower stationHave a close look at how it was built and seeif you can answer the questions on page 37.Hints and tips3D shapes have ‘faces’ (the flat parts), ‘edges’(the long sharp parts) and ‘vertices’ (the shortsharp parts where the edges meet).edgefacevertex

1Questionsa) How many cylinders can you find in the power station?3D SHAPES 37b) How many prisms can you find in the passenger terminal?c) How many hemispheres can you see in the spaceship hangers?2a) How many cubes are needed to repair the control tower so that it is restored toa cuboid shape?b) How many cubes are needed to repair the ‘Venus View’ hotel so that it is restored toa cuboid shape?ChallengeComplete this table to show the total number of each shape in R-Star City Space Port.Shape cubes cuboidssquarebasedpyramidssphereshemispherescylinders cones prisms tetrahedrons polyhedrons octahedronsNumberCan you colour in the city giving each type of 3D shape a different colour?

38 EXCELLENCE IN WORD PROBLEMS YEAR 5Position and directionPosition and direction questions will often ask you tolook at a map with grid references. You will need tofind the coordinates of different landmarks.Marie is exploring the streets of Manhattan, New York. She starts fromher hotel at point (1, 5) and walks 4 points east, and then turns 90degrees clockwise. She then walks 3 points south. Which landmark isMarie standing next to? What is her new position?Read the questionthen read it againI need to work step-by-step.Choose the operation/unitsEstimateCalculateCheckI’m working with coordinates…Remember, along then up.Marie is going east then south……United Nations or Empire State?Mark (1, 5) with a cross. Count 4points east.Turn 90 degrees clockwise. Marie isnow facing south. Count 3 points south.Marie is standing next to the EmpireState building.Her new position is (5, 2).Double-check that I’m correct.Hints and tipsCoordinates mark wherethe lines cross, not thespaces in between.✗✗✓ right ✗ wrongRemember, ‘x’ comes before ‘y’ inthe alphabet. Always go ALONG thecorridor then UP the stairs.

POSITION AND DIRECTION 39QuestionsUse the map to answerall these questions.876CENTRAL PARKARKMUSEUMOF ART ART1a) What runs from (5, 8) to (5, 0)?54321HOTELTIMESSQ.EMPIRESTATETE5th AvenueUNITEDNATIONSTIONSb) If Marie starts at (3, 0) and walks north for 3 points,which landmark will she be standing next to?01 2 3 4 5 6 7 8c) If Marie was standing at the point (3, 7), where would she be?2a) Here are three of a landmark’s coordinates: (5, 6), (5, 7) and (6, 7). What is the missingcoordinate and what is the name of the landmark?b) What are the four coordinates marking the four vertices of Central Park?ChallengeStarting at (1, 5), can you describe a route visiting all six landmarks and returning to thehotel at (1, 5)?