11+ Taster Day Maths Investigations

11+ Taster Day – Maths Activity

The three activities are arranged according to level of challenge (1 star, 2 star, 3 star).

Choose which level of task(s) you feel most comfortable with.

Take a Leaf Part A An examination paper is made by taking 5 large sheets of paper, folding the pile in half and stapling it. The pages are then numbered in order from 1 to 20.

etc...

What is the sum of the three page numbers that are on the same sheet of paper as page number 5?

Part B A newspaper is assembled in a similar way to the examination paper above.

Here is a sheet of a newspaper.

Each sheet has four pages.

How many sheets are there altogether?

Back in Time Beatrix has a 24-hour digital clock on a glass table-top next to her desk.

When she looked at the clock at 13:08, she noticed that the reflected display also read 13:08, as shown.

How many times in a 24-hour period do the display and its reflection give the same time?

Climbing the Stairs When I climb the stairs I can climb either one step or two steps at a time.

This means there are three ways that I can climb a flight of three stairs (see diagram).

1-1-1

1-1-1

1-2

2-1

1-2

2-1

A. Show that there are eight ways of climbing a flight of five stairs

B. The average flight of stairs in a house contains 13 steps.

How many different ways can I climb a flight a 13 stairs.

Hint: Try counting the ways for smaller flights of stairs to see if you can find a pattern.

Climbing the stairs – 377 different ways to climb 13 steps.

Back in time – 96 times a day Answers: Take a leaf – part A: 37, part B: 17 sheets (68 pages)

Investigations from nrich.maths.org