Name Date. Parent comment: Triangles Levels 4-6 (15-20 mins)

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1 Name Date Farsley Farfield Primary School Parent comment: Triangles Levels 4-6 (15-20 mins) Q1. Here are six triangles. One of them is an equilateral triangle. Put a tick ( ) in the equilateral triangle. Write one property which makes equilateral triangles different from all other triangles Page 1

equilateral isosceles scalene equilateral isosceles scalene Q3.

2 Q2. These two shaded triangles are each inside a regular hexagon. Under each hexagon, put a ring around the correct name of the shaded triangle. equilateral isosceles scalene equilateral isosceles scalene Q3. Here are four triangles on a square grid. Write the letters of the two isosceles triangles.... and... Page 2

3 Q4. Jamie draws a triangle. Farsley Farfield Primary School He says, Two of the three angles in my triangle are obtuse. Explain why Jamie cannot be correct. Q5. Here are four statements. For each statement put a tick ( ) if it is possible. Put a cross ( ) if it is impossible. A triangle can have 2 acute angles. A triangle can have 2 obtuse angles. A triangle can have 2 parallel sides. A triangle can have 2 perpendicular sides marks Page 3

4 Q6. Here is an equilateral triangle inside a square. The perimeter of the triangle is 48 centimetres. What is the perimeter of the square? 2 marks Q7. An isosceles triangle has a perimeter of 12cm. One of its sides is 5cm. What could the length of each of the other two sides be? Two different answers are possible. Give both answers. cm and cm cm and cm 2 marks Page 4

5 Q8. Triangle ABC is equilateral. Calculate the size of angle x. Do not use an angle measurer (protractor). x = Page 5

6 M1. (a) Triangle marked as shown. Accept other unambiguous indications 1 (b) A mathematical property, such as all angles equal; all sides equal; all angles 60 ; 3 lines of symmetry; all the angles/sides are the same size; rotational symmetry of order 3. Do not accept vague descriptions, eg They are equal ; They re symmetrical ; Equal points. Award the mark for a correct statement, even if the wrong shape is ticked. 1 [2] M2. Correct names indicated as shown: Page 6

Accept alternative, unambiguous indications such as underlining the correct name. Both must be correct for the award of the mark. [1] M3. B AND C Answers may be given in either order. [1] M4.

up to 180 degrees Two obtuse angles add up to more than 180 180 degrees is less than two obtuse angles It must have at least two acute angles The shape would need more than 3 sides to join up Do

7 Accept alternative, unambiguous indications such as underlining the correct name. Both must be correct for the award of the mark. [1] M3. B AND C Answers may be given in either order. [1] M4. An explanation (or diagram) which recognises that the sum of two obtuse angles would be greater than 180 degrees, eg: An obtuse angle is greater than 90 degrees and the angles of a triangle add up to 180 degrees Two obtuse angles add up to more than degrees is less than two obtuse angles It must have at least two acute angles The shape would need more than 3 sides to join up Do not accept answers that refer only to the properties of obtuse angles OR to the angles of a triangle, eg: The angles of a triangle add up to 180 degrees Obtuse angles are greater than 90 degrees. Page 7

8 Do not accept vague or incomplete explanations, eg: A triangle cannot have two obtuse angles Obtuse angles would be too big You can only have acute angles. U1 [1] M5. Award TWO marks for boxes ticked and crossed as shown: If the answer is incorrect, award ONE mark for any three boxes correctly completed. Accept alternative unambiguous indications such as Y or N. For TWO marks, accept: Up to 2 [2] Page 8

9 M6. Award TWO marks for the correct answer of 64 If the answer is incorrect, award ONE mark for evidence of appropriate working, eg 48 3 = = wrong answer Calculation must be performed for the award of ONE mark. Up to 2 (U1) [2] M7. Award TWO marks for two different answers as shown: AND If the answer is incorrect, award ONE mark for any one of the above answers. The two answers may be given in either order. Do not accept 5 and 2 AND 2 and 5 for two marks. Up to 2 [2] M [1] Page 9

The shaded shape has an area of 3 hexagons and a perimeter of 14 cm.

1 Here is a grid of regular hexagons. The shaded shape has an area of 3 hexagons and a perimeter of 14 cm. Draw another shape on the grid which has an area of 4 hexagons and a perimeter of 14 cm. 1 mark