1. mr-mathematics.com Recapping: Addition and subtraction
Add three vertical numbers then subtract the sum of three horizontal numbers.
ANS
Can you make a larger answer than 594 by rearranging the numbers?
What’s the largest (or smallest) answer you can make?
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2. Dart Board Investigation
Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
Dart Board Investigation
Three darts each hit the board.
a) Make each of these numbers three different ways.
b) If you are playing 301 and have to end on a double what is the least number of darts you have to throw?
ANS
ANS
c) Which of these numbers can you not score with three darts?
ANS
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3. Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
0 to 15
Using the digits and operations below make all the numbers from 0 to 15.
ANS
Example:
2 = 2 + (1 + 3 − 4) × 5
3 = 1 − − 4 + 5
Use the digits from today’s date to make the same numbers.
Use the digits from a phone number to make the numbers 0 to 30.
mr-mathematics.com

4. Arrange the numbers in the diagram. mr-mathematics.com
Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
The numbers around in the edge in blue circles have the same sum as the numbers on the red, green and blue spokes.
ANS
Arrange the numbers in the diagram.
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5. mr-mathematics.com Recapping: Addition and subtraction
Add three vertical numbers then subtract the sum of three horizontal numbers.
Possible solution
= 1962
= 774
1962 – 774 = 1188
Can you make a larger answer than 594 by rearranging the numbers?
What’s the largest (or smallest) answer you can make?
Go Back
mr-mathematics.com

6. Dart Board Investigation
Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
Dart Board Investigation
a) Make each of these numbers three different ways.
Possible solutions include:
T10, 11, 1 20, 20, D1 T9, 4, D1
D20, 5, 5 T11, 10, T9, 20, 3
T7, 10, 7 T5, 12, 11 D9, 10, 10
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mr-mathematics.com

7. Dart Board Investigation
Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
Dart Board Investigation
b) If you are playing 301 and have to end on a double what is the least number of darts you have to throw?
T20, T20, T20
T20, T7, D20
6 Darts
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mr-mathematics.com

8. Dart Board Investigation
Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
Dart Board Investigation
c) Which of these numbers can you not score with three darts?
Go Back
mr-mathematics.com

9. Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
0 to 15
Using the digits and operations below make all the numbers from 0 to 15.
0 = (1 + 2 − 3) × (4 + 5)
1 = 1 + (2 + 3 − 5) × 4
2 = 2 + (1 + 3 − 4) × 5
3 = 1 − − 4 + 5
4 = 1 × (2 + 3 − 5) + 4
5 = 1 − 2 −
6 = 5 + 1× (2 + 3 − 4)
7 = × (4 − 3) × 1
8 = × (4 − 2 − 1)
9 = (4 − 2 − 1)
10 = (3 − 2) × 1
11 = (3 − 2) + 1
12 = ×(2 − 1)
13 = − 1
14 = × 1
15 =
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mr-mathematics.com

10. Arrange the numbers in the diagram.
Problem Solving with Number
Learning Objective: Work in pairs to solve a range of problems using numerical reasoning.
The numbers around in the edge in blue circles have the same sum as the numbers on the red, green and blue spokes.
Arrange the numbers in the diagram.
Go Back
mr-mathematics.com