WORKED EXAMPLE. Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 0 is 0 marks)
1
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 1 is 1 mark)
2
Look at the solid built from unit cubes. Which option shows its side elevation (the view looking straight at the right-hand side of the solid)?
(Total for Question 2 is 1 mark)
3
Look at the solid built from unit cubes. Which option shows its plan (the view looking straight down from above)?
(Total for Question 3 is 1 mark)
4
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 4 is 1 mark)
5
Look at the solid built from unit cubes. Which option shows its plan (the view looking straight down from above)?
(Total for Question 5 is 1 mark)
6
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 6 is 1 mark)
7
Look at the same solid built from unit cubes as the previous question. Which option shows its side elevation (the view looking straight at the right-hand side of the solid)?
(Total for Question 7 is 1 mark)
8
Look at the solid built from unit cubes. Which option shows its plan (the view looking straight down from above)?
(Total for Question 8 is 1 mark)
9
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 9 is 1 mark)
10
Look at the same solid built from unit cubes as the previous question. Which option shows its plan (the view looking straight down from above)?
(Total for Question 10 is 1 mark)
11
Look at the solid built from unit cubes. Which option shows its plan (the view looking straight down from above)?
(Total for Question 11 is 1 mark)
12
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 12 is 1 mark)
13
Look at the same solid built from unit cubes as the previous question. Which option shows its side elevation (the view looking straight at the right-hand side of the solid)?
(Total for Question 13 is 1 mark)
14
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 14 is 1 mark)
15
Look at the same solid built from unit cubes as the previous question. Which option shows its side elevation (the view looking straight at the right-hand side of the solid)?
(Total for Question 15 is 1 mark)
16
Look at the same solid built from unit cubes as the previous two questions. Which option shows its plan (the view looking straight down from above)?
(Total for Question 16 is 1 mark)
17
The plan, front elevation and side elevation of a solid built from unit cubes are shown below (all on the same 3 by 3 base grid, columns A, B, C and rows 1, 2, 3). Plan: all 9 grid squares shaded, no blank square. Front elevation: 3 adjoining bars left to right, heights 3, 2, 2. Side elevation: 3 adjoining bars left to right (row 1, row 2, row 3), heights 3, 2, 1. Which of the following solids (given as a full set of 9 stack heights) could produce all three of these views?
(Total for Question 17 is 1 mark)
18
Look at the solid built from unit cubes. Which option shows its front elevation (the view looking straight at the front of the solid)?
(Total for Question 18 is 1 mark)
19
Look at the same solid built from unit cubes as the previous question. Which option shows its side elevation (the view looking straight at the right-hand side of the solid)?
(Total for Question 19 is 1 mark)
20
Look at the solid built from unit cubes. Which option shows its side elevation (the view looking straight at the right-hand side of the solid)?
(Total for Question 20 is 1 mark)
21
A solid built from unit cubes is rotated 90 degrees on the spot, so that the face which used to be its right-hand side now faces the front. When this happens, the new front elevation is identical to the old side elevation, read in the same order (row 1, the side nearest the original viewer, stays on the left). Using the solid shown, which option shows the NEW front elevation after this rotation?
(Total for Question 21 is 1 mark)
22
The plan of a solid built from unit cubes is shown below (3 columns A, B, C by 3 rows). Shaded cells: A1, B1, C1, B2, B3, C3. Blank cells: A2, A3, C2. Which of the following CANNOT be the front elevation of this solid?
(Total for Question 22 is 1 mark)
23
The plan and front elevation of a solid built from unit cubes are shown below (3 by 3 base grid). Plan: blank cell only at the centre (B2); all 8 other cells shaded. Front elevation: 3 adjoining bars left to right, heights 2, 1, 2. Which of the following solids (given as a full set of 9 stack heights) could produce both of these views?
(Total for Question 23 is 1 mark)
Mark scheme · EP.N11 Plans and Elevations
Question 0
B0 Worked example - no marks awarded. Demonstrates the method: for each column, look down the whole column (all rows) and take the tallest stack in that column; draw the bars in the same left-to-right order as the isometric picture.
Answer: B
Question 1
B1 Correct option identified (bars 1, 2 oe) - the tallest stack in column A is 1 (Row 1 = 1, Row 2 = 1) and the tallest stack in column B is 2 (Row 1 = 2, Row 2 = 1)
Answer: B
Question 2
B1 Correct option identified (bars 2, 1 oe) - the tallest stack in row 1 is 2 (A = 2, B = 2) and the tallest stack in row 2 is 1 (A = 1, B = 1)
Answer: B
Question 3
B1 Correct option identified - every grid square with a stack height of at least 1 is shaded, and the one bare square (A2, height 0) is left blank
Answer: A
Question 4
B1 Correct option identified (bars 3, 1 oe) - the tallest stack in column A is 3 and the tallest stack in column B is 1
Answer: B
Question 5
B1 Correct option identified - the plan only shows which squares have a cube standing on them, not how tall each stack is, so all 6 squares are shaded because none has height 0
Answer: A
Question 6
B1 Correct option identified (bars 1, 2, 1 oe) - the tallest stack in each column, reading columns A, B, C, is 1, 2 and 1
Answer: A
Question 7
B1 Correct option identified (bars 1, 2, 1 oe) - the tallest stack in row 1 is 1, in row 2 is 2, and in row 3 is 1
Answer: B
Question 8
B1 Correct option identified - every grid square has a stack height of at least 1, so all 9 squares are shaded with no blank cell
Answer: A
Question 9
B1 Correct option identified (bars 2, 2, 2 oe) - even though the footprint is a diagonal pattern, the tallest stack in every single column happens to be 2
Answer: E
Question 10
B1 Correct option identified - the two bare squares are A1 (height 0) and C3 (height 0); every other square has a stack of at least 1
Answer: A
Question 11
B1 Correct option identified - the only bare square in the grid is the centre square B2, giving a picture-frame shaped plan
Answer: A
Question 12
B1 Correct option identified (bars 2, 1, 2 oe) - the tallest stack in column A is 2, in column B is 1, and in column C is 2, forming a dip in the middle
Answer: B
Question 13
B1 Correct option identified (bars 1, 2, 1 oe) - the tallest stack in row 1 is 1, in row 2 is 2, and in row 3 is 1
Answer: B
Question 14
B1 Correct option identified (bars 3, 2, 1 oe) - the tallest stack in column A is 3, in column B is 2, and in column C is 1, a descending staircase
Answer: B
Question 15
B1 Correct option identified (bars 3, 2, 1 oe) - the tallest stack in row 1 is 3, in row 2 is 2, and in row 3 is 1
Answer: A
Question 16
B1 Correct option identified - the occupied squares (height at least 1) are A1, B1, C1, A2, B2 and A3, giving a staircase-shaped footprint; C2, B3 and C3 are bare table
Answer: A
Question 17
B1 Correct option identified - only option A produces a fully shaded plan, front elevation 3, 2, 2 and side elevation 3, 2, 1 simultaneously; every other option contradicts at least one of the three given views
Answer: A
Question 18
B1 Correct option identified (bars 1, 2, 2, 1 oe) - the tallest stack in each of the 4 columns, reading A to D, is 1, 2, 2 and 1
Answer: B
Question 19
B1 Correct option identified (bars 2, 1 oe) - the tallest stack in row 1 is 2 (from B1 or C1) and the tallest stack in row 2 is 1 (from B2 or C2)
Answer: B
Question 20
B1 Correct option identified (bars 1, 2, 2, 1 oe) - the tallest stack in each of the 4 rows, reading row 1 to row 4, is 1, 2, 2 and 1
Answer: B
Question 21
B1 Correct option identified (bars 3, 1, 2 oe) - the new front elevation equals the old side elevation, which is row 1 = 3, row 2 = 1, row 3 = 2
Answer: B
Question 22
B1 Correct option identified - option B gives column B a height of 0, but the plan shows column B has shaded (occupied) squares at B1, B2 and B3, so column B's front elevation bar must be at least 1
Answer: B
Question 23
B1 Correct option identified - only option A produces a plan with just the centre square blank and a front elevation of 2, 1, 2 at the same time; every other option contradicts one of the two given views