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Dice & Cubes — practice questions, page 11

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QuestionA standard die shows 1 on top, 3 in front and 2 on the right. It is tipped right, right again,…QuestionThe front view, the side view and the plan from above of a stack of cubes on a 3 by 3 grid are…QuestionThis corner staircase of glued cubes is painted on every outside face except the faces on the…QuestionPooja stacks equal cubes on a grid two squares wide and three deep as shown. How many cubes does…QuestionHow many more cubes are needed to fill this stack up to a solid cuboid 4 cubes long, 2 deep and 3…QuestionA standard die (opposite faces total 7) rests on a table with 5 on top. What is the total of the…QuestionIn this solid cube of 27 small cubes, how many small cubes share a face with exactly four others?QuestionA block 4 cubes long, 3 deep and 2 high is built from small cubes. How many of the small cubes are…QuestionTwo standard dice (opposite faces total 7) stand one on the other on a table. What is the total…QuestionArjun walks all the way round this tower of three standard dice. How many dots can he see…QuestionTwo standard dice stand side by side, touching, on a table. What is the total number of dots on…QuestionThis standard die (opposite faces total 7) is tipped to the right twice and then tipped away from…QuestionA staircase with five steps is built from cubes; it is three cubes wide and each step is one cube…QuestionIn this five-step staircase of cubes, three cubes wide, how many cubes are completely hidden in…QuestionWhich drawing (a) to (d) is the front view of this stack, looking in the direction of the arrow?QuestionSeen from directly above, which plan (a) to (d) shows the squares covered by these cubes? The…QuestionThis stack is two cubes wide and four rows deep. Which drawing (a) to (d) shows it from the side…QuestionA stack of cubes covers part of a grid 3 squares wide and 2 deep. Its front and side views are…QuestionThe front view and the plan from above of a stack of cubes are given. What is the largest number…QuestionThe corner staircase of ten glued cubes is painted all over, base included. How many small square…QuestionThese five cubes are glued together and painted all over, base included, and then pulled apart.…QuestionFour standard dice are stacked on a table. What is the total number of dots on all the faces that…QuestionThree views of a stack of cubes on a 3 by 3 grid are drawn: front, right side and plan from above.…

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