Dice & Cubes — practice questions, page 10
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QuestionSome cubes in this pile are hidden underneath others. How many cubes are there altogether?QuestionTwo rows of steps are built from equal cubes as shown. How many cubes are in the steps?QuestionA square block of cubes two layers high has one cube missing from the middle of its top layer. How…QuestionHow many cubes in this stack rest directly on the ground?QuestionThis was a solid 3 × 3 × 3 cube before some small cubes were taken away from the front-right…QuestionThis solid cube is built from 27 small cubes. How many of the small cubes cannot be seen at all in…QuestionHow many more cubes are needed to fill this arrangement into a solid cuboid that covers the whole…QuestionNeeraj wants to add cubes to this stack to make the smallest possible solid cube. How many cubes…QuestionWhich of the drawings (a) to (d) shows this stack as seen from the front, in the direction of the…QuestionWhich drawing shows this stack seen from the right-hand side, in the direction of the arrow marked…QuestionWhich plan (a) to (d) shows the squares covered by this arrangement when it is viewed from…QuestionThis block of 18 cubes, two layers high, is painted on its top and four sides but not underneath.…QuestionThree standard dice (opposite faces total 7) stand in a row, touching, on a table. What is the…QuestionHow many cubes of this stack are in the second layer from the bottom?QuestionA staircase is built from identical cubes, three cubes wide. How many of its cubes cannot be seen…QuestionWhat is the least number of cubes that must be added to this stack to make it a solid cube?QuestionWhich drawing (a) to (d) shows this stack of cubes as it looks from the front?QuestionWhich profile (a) to (d) is the view of this stack from the side marked by the arrow?QuestionThis little stack is made of 1 cm cubes glued together. It is dipped in paint, base and all. What…QuestionIn this corner staircase, how many cubes share a face with exactly four other cubes?QuestionThree standard dice (opposite faces total 7) are stacked into a tower on a table. What is the…QuestionA standard die (opposite faces total 7) shows 6 on top, 2 in front and 3 on the right. It is…QuestionA stack of cubes stands on a 3 by 3 grid. From the front it looks like the left drawing, and from…QuestionOn a 3 by 3 grid, a stack of cubes looks like the left drawing from the front and like the right…QuestionThis shape is made of 2 cm cubes glued face to face. Its whole surface, including the base, is…
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