Maths Optional Tasks

Below are optional tasks. These tasks focus on what we have worked on in class during the previous week.

Each week is divided into three short sections: Fluency, Problem Solving, and Reasoning, followed by a Challenge task to stretch your thinking. Try to complete each section carefully and show your working where possible.

Still struggling?
There is a link at the bottom of this page to White Rose Maths videos, which are short mini-lessons explaining the key concepts and methods behind the maths we are studying. White Rose’s Year 5 summer materials cover topics such as angles and shape, translation/reflection/symmetry, decimals, and negative numbers, which match the sequence below.

Week 1 – W/B 20th April

Focus: Shape – Identify, Compare and Measure Angles

Fluency

1. Write the name of each angle:
   45° = ___
   90° = ___
   135° = ___
2. Put these angles in order from smallest to largest:
   120°, 30°, 90°, 75°
3. True or false?
   An angle of 91° is an acute angle. ___

Problem Solving

1. A shape has angles of 40°, 65° and 90°.
   Which angle is the largest?
   How much greater is it than the smallest angle?
2. Amir says 89° is almost a right angle, so it is a right angle.
   Do you agree? Explain.

Reasoning

1. Explain how you know whether an angle is acute, right or obtuse.

⭐ CHALLENGE
Draw three different angles: one acute, one right and one obtuse.
Label each one and explain how you know you are correct.

Week 2 – W/B 27th April

Focus: Shape – Angles on a Straight Line and Around a Point

Fluency

1. Calculate the missing angle:
   a) 70° + ___ = 180°
   b) 125° + ___ = 180°
   c) 90° + ___ = 360°
2. Complete:
   Angles on a straight line add up to ___
   Angles around a point add up to ___

Problem Solving

1. Two angles on a straight line are 48° and ?
   Find the missing angle.
2. Three angles around a point are equal.
   What is the size of each angle?

Reasoning

1. Explain why you can find a missing angle by subtracting from 180° or 360°.

⭐ CHALLENGE
A point has four angles around it. Two are 80° and 95°. The other two are equal.
What are the missing angles? Explain each step.

Week 3 – W/B 4th May

Focus: Position and Direction – Coordinates and Translation

Fluency

1. Write the coordinates of these points:
   A = (___, )
   B = (, ___)
2. Point C is at (4, 6).
   Move it 2 right and 3 down.
   New coordinates = (___, ___)
3. Point D is at (7, 2).
   Move it 4 left and 1 up.
   New coordinates = (___, ___)

Problem Solving

1. A rectangle has one vertex at (2, 3).
   It is translated 5 squares right and 2 squares up.
   Where will that vertex move to?
2. Zara says that when a shape translates, its size changes.
   Do you agree? Explain.

Reasoning

1. Explain what happens to the x-coordinate when a point moves left or right.
   Explain what happens to the y-coordinate when a point moves up or down.

⭐ CHALLENGE
A point starts at (5, 5).
It moves 3 left, 4 down, 6 right and 2 up.
Where does it finish? Show your working.

Week 4 – W/B 11th May

Focus: Decimals – Add and Subtract Decimals

Fluency

1. Calculate:
   3.4 + 1.2 = ___
   5.67 + 0.21 = ___
   8.5 − 2.3 = ___
   7.00 − 1.45 = ___
2. Complete:
   0.8 + 0.2 = ___
   1.3 − 0.7 = ___

Problem Solving

1. A bottle holds 1.25 L of juice. Another bottle holds 0.75 L.
   How much juice is there altogether?
2. Noah has £10.00. He spends £3.45 on one item and £2.20 on another.
   How much money does he have left?

Reasoning

1. Why is it important to line up the decimal points when adding or subtracting decimals?

⭐ CHALLENGE
Create two decimal numbers with a total of 6.5.
Now create two different decimal numbers with the same total.
What do you notice?

Week 5 – W/B 18th May

Focus: Negative Numbers

Fluency

1. Fill in the missing numbers:
   -3, -2, ___, 0, 1, ___
2. Put these in order from smallest to largest:
   4, -1, 0, -5, 2
3. Complete:
   2°C + 3°C = ___°C
   1°C − 4°C = ___°C

Problem Solving

1. The temperature in the morning is -2°C.
   By lunchtime it rises by 5°C.
   What is the new temperature?
2. A diver is at -8 m.
   She swims up 3 m.
   What depth is she at now?

Reasoning

1. Explain why -4 is smaller than -1, even though 4 is greater than 1.

⭐ CHALLENGE
A lift starts on floor -3.
It goes up 5 floors, down 2 floors, up 1 floor, then down 4 floors.
Which floor does it finish on? Explain your method clearly.