WORKED EXAMPLE. Shape 1 and Shape 2 below are combined so that the marked edge of Shape 2 sits exactly on the marked edge of Shape 1 (the shared edge is then erased, leaving one outline). Which option, A to E, shows the resulting combined shape?
(Total for Question 1 is 0 marks)
2
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - that is, its exact outline can be traced using lines that are already drawn, with no lines added, removed or changed?
(Total for Question 2 is 1 mark)
3
Shape 1 and Shape 2 below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased, and any newly-collinear edges merge into one straight line). Which option, A to E, shows the resulting combined shape?
(Total for Question 3 is 1 mark)
4
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 4 is 1 mark)
5
Shape 1 and Shape 2 below are joined so that the marked edge of Shape 2 lies along part of the marked edge of Shape 1 (the shared edge is erased, and any newly-collinear edges merge into one straight line). Which option, A to E, shows the resulting combined shape?
(Total for Question 5 is 1 mark)
6
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 6 is 1 mark)
7
Shape 1 and Shape 2 below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased). Which option, A to E, shows the resulting combined shape?
(Total for Question 7 is 1 mark)
8
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 8 is 1 mark)
9
Shape 1 and Shape 2 below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased). Which option, A to E, shows the resulting combined shape?
(Total for Question 9 is 1 mark)
10
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 10 is 1 mark)
11
Shape 1 (shaded with 45 degree grey hatching) and Shape 2 (left plain white) below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased, and each shape keeps its own shading). Which option, A to E, shows the resulting combined shape?
(Total for Question 11 is 1 mark)
12
The figure below is made of straight lines only, with one region shaded grey. Which one of the shapes A to E matches both the exact shape AND the exact shading of the shaded region hidden inside it?
(Total for Question 12 is 1 mark)
13
Shape 1 and Shape 2 below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased). Which option, A to E, shows the resulting combined shape?
(Total for Question 13 is 1 mark)
14
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 14 is 1 mark)
15
Shape 1 and Shape 2 below (two congruent right-angled triangles) are joined so that the marked edge (hypotenuse) of Shape 2 lies exactly along the marked edge (hypotenuse) of Shape 1, with Shape 2 rotated 180 degrees about the midpoint of that shared edge. The shared edge is erased. Which option, A to E, shows the resulting combined shape?
(Total for Question 15 is 1 mark)
16
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 16 is 1 mark)
17
Shape 1 and Shape 2 below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased, and any newly-collinear edges merge into a single straight line). Which option, A to E, shows the resulting combined shape?
(Total for Question 17 is 1 mark)
18
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 18 is 1 mark)
19
Shape 1 and Shape 2 (two congruent right-angled triangles) below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased, and any newly-collinear edges merge into a single straight line). Which option, A to E, shows the resulting combined shape?
(Total for Question 19 is 1 mark)
20
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 20 is 1 mark)
21
Shape 1 (a right-angled triangle) and Shape 2 (a square) below are joined so that the marked edge of Shape 2 lies exactly along the hypotenuse of Shape 1 (the shared edge is erased). Which option, A to E, shows the resulting combined shape?
(Total for Question 21 is 1 mark)
22
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 22 is 1 mark)
23
Shape 1 (a right-angled triangle) and Shape 2 (a smaller right-angled triangle) below are joined so that the marked edge of Shape 2 lies along part of the marked edge of Shape 1 (the overlapping part of the shared edge is erased, and any newly-collinear edges merge into one straight line). Which option, A to E, shows the resulting combined shape?
(Total for Question 23 is 1 mark)
24
The figure below is made of straight lines only. Which one of the shapes A to E is hidden inside it - its exact outline can be traced using lines already drawn, with none added or altered?
(Total for Question 24 is 1 mark)
25
Shape 1 (an irregular quadrilateral) and Shape 2 (a triangle) below are joined so that the marked edge of Shape 2 lies exactly along the marked edge of Shape 1 (the shared edge is erased). Which option, A to E, shows the resulting combined shape?
(Total for Question 25 is 1 mark)
Mark scheme · EP.N13 Combined and Hidden Shapes
Question 1
B1 identifies the symmetrical house pentagon with a centred, 2-unit-tall roof and no retained join line (option A), cao
Answer: A
Question 2
B1 selects the triangle with legs 4 and 3 and the right angle at the bottom-right corner (option A), cao
Answer: A
Question 3
B1 selects the trapezoid with bottom 6, top 4, height 2 and no retained internal line (option A), cao
Answer: A
Question 4
B1 selects the isosceles right-angled triangle with base 4, apex centred above the base at the square's centre, right angle at the apex (option A), cao
Answer: A
Question 5
B1 selects the step hexagon with the square flush against the right-hand edge, full height 4 (option A), cao
Answer: A
Question 6
B1 selects the right-angled triangle with legs 3 (top) and 4 (right side), right angle at the top-right corner (option A), cao
Answer: A
Question 7
B1 selects the diamond with the outward bump on the top-right edge, apex at (4,4) (option A), cao
Answer: A
Question 8
B1 selects the isosceles right-angled triangle with legs 3 and 3 and a straight hypotenuse (option A), cao
Answer: A
Question 9
B1 selects the pentagon with the roof centred on the slanted top edge, apex at (3,5) (option A), cao
Answer: A
Question 10
B1 selects the right-angled triangle with legs 8 and 5, right angle at the top-right corner (option A), cao
Answer: A
Question 11
B1 selects the pentagon with only the original square region hatched at 45 degrees, no line at the join (option A), cao
Answer: A
Question 12
B1 selects the triangle with legs 6 and 4, right angle bottom-right, solid grey fill (option A), cao
Answer: A
Question 13
B1 selects the pentagon with the roof centred on the top edge, apex at (3,5.5) (option A), cao
Answer: A
Question 14
B1 selects the corner triangle with legs 3 and 3 and its right angle at an outer corner (option A), cao
Answer: A
Question 15
B1 selects the plain 4 by 3 rectangle with no internal diagonal line (option A), cao
Answer: A
Question 16
B1 selects the isosceles triangle with apex left, 2-unit vertical base on the right edge, symmetric about mid-height (option A), cao
Answer: A
Question 17
B1 selects the quadrilateral with the merged 8-unit left edge and slanted top from (4,4) to (0,8) (option A), cao
Answer: A
Question 18
B1 selects the isosceles triangle with base 8, equal sides 5, apex at the rectangle's centre (option A), cao
Answer: A
Question 19
B1 selects the isosceles triangle with base 10, apex centred at height 3 (option A), cao
Answer: A
Question 20
B1 selects the isosceles triangle with base 4 and apex 3 units from the base, centred (option A), cao
Answer: A
Question 21
B1 selects the pentagon with the correctly oriented 6-8-10 triangle and the outward tilted square of side 10 (option A), cao
Answer: A
Question 22
B1 selects the corner triangle with legs 2 and 2 and its right angle at an outer corner (option A), cao
Answer: A
Question 23
B1 selects the quadrilateral with a single straight base and the step correctly positioned at (0,4) (option A), cao
Answer: A
Question 24
B1 selects the parallelogram with 5-unit vertical sides and a gentle upward slope on the long sides (option A), cao
Answer: A
Question 25
B1 selects the pentagon with the correct outward bump vertex at (11,3) and no internal line (option A), cao