## Numerical Reasoning

### Maths Questions in the 11 Plus

Maths is one of the three main subjects tested in the 11 Plus. It can be summed up as short maths, long maths and data handling and it may account for approximately 30% of the total marks in the 11 Plus test.

The maths questions test mental arithmetic (short maths), word problem solving (long maths) and the interpretation of statistics (data handling). Statistics are presented graphically in the form of a table, graph, diagram or similar.

Pupils may need to solve a maths problem based on a situation, concept or statistical analysis. In this type of question there is an element of reading comprehension involved. The children need to understand what the question means before attempting to solve it using their maths skills.

#### Sample long maths questions

**Maeve's uncle is 50 years old and her aunt
is 1/10th older than Maeve's uncle. How old is her aunt?**

**Farzana goes to a sports shop and buys a tennis racket costing £16.99. She also buys a tin of tennis balls costing
£4.99. She pays for them all with a £20 note and a £10 pound note. How much change does she get? **

#### Sample data handling questions

**The table below shows a bus timetable for buses travelling between High Wycombe and Uxbridge.**

High Wycombe |
Beaconsfield |
Gerrards Cross |
Uxbridge |

09.10 |
09.45 |
10.00 |
10.25 |

09.40 |
10.10 |
10.25 |
10.50 |

10.10 |
10.40 |
10.55 |
11.20 |

10.40 |
11.10 |
11.25 |
11.50 |

11.10 |
11.40 |
11.55 |
12.20 |

11.40 |
12.10 |
12.23 |
12.48 |

**1. How long does the 09.10 bus
from High Wycombe take to get to Uxbridge?**

A: 65 mins. B: 70 mins. C: 75 mins. D: 80 mins. E: 85 mins. Answer: C

**2. Tasha lives in Beaconsfield
and wants to get a bus to Gerrards Cross for a dentist appointment at 12.25. It takes
10 minutes to walk from the bus stop in Gerrards Cross to the dentist’s. What is
the latest bus she can take from Beaconsfield to reach the dentist’s in
time?**

A: 09.45 B: 10.10 C: 10.40 D: 11.10 E: 11.40 Answer: E

**3. Which bus from High Wycombe
arrives in Uxbridge closest to 12.00?**

A: 09.40 B: 10.10 C: 10.40 D: 11.10 E: 11.40 Answer: C

**4. Which bus from High Wycombe
takes the shortest time to get to Gerrards Cross?**

A: 09.40 B: 10.10 C: 10.40 D: 11.10 E: 11.40 Answer: E

Sample Verbal Reasoning questions for the 11 Plus

Sample Non-Verbal Reasoning questions

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