Competition & Contest Problems.

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Brilliant & Brighter Futures Ltd. is pleased to present our competition & contests problem page.

This page consists of warm up activities for children who wish to participate in our competitions.

Exposure to challenging problems, interesting puzzles, and activities is essential for developing a child's problem solving skills.

You will need a plan of action to solve a problem. These plans are called strategies.
You may use one or any number of the strategies you have been taught both at school and at the club.

1. Suppose today is Tuesday. What day of the week will it be 100 days from now?

Try to solve the problem within the 4 minute time limit.

2. Find the sum of the counting numbers from 1 to 25 inclusive.
In other words, if S = 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25, find the value of S.

Try to solve the problem within the 5 minute time limit.

3. A team of 3 carpenters require 3 weeks and 2 days to do a certain job. How long would it take a team of 4 carpenters to do the same job if each carpenter of both teams work at the same rate as each of the others?
Note: each week contains six working days.

Try to solve the problem within the 5 minute time limit.

4. In a stationary store, pencils have one price and pens have another price. Two pencils and three pens cost £0.78p. But three pencils and two pens cost £0.72p. How much does one pencil cost?

Try to solve the problem within the 6 minute time limit.

Problem 1)

A girl purchased a dog for £10, sold it for £15, purchased it back for £20, and finally sold it for £25. Did the girl make or lose money, and how much did she make or lose?

You have 4 minutes to solve the problem.

Problem 2)

Rectangular cards, 2 inches by 3 inches, are cut from a rectangular sheet 2 feet by 3 feet. What is the greatest number of cards that can be cut from the sheet?

You have 5 minutes to solve the problem.

Problem 3)

In three bowling games, Kate scores 139, 143, and 144. What score will Kate need in a fourth game in order to have an average score of 145 for all four games?

You have 5 minutes to solve the problem.

Problem 4)

A book has 500 pages numbered 1, 2, 3, and so on. How many times does the digit 1 appear in the page numbers?

You have 6 minutes to solve the problem.

How quickly can you complete these?
1)      4 x 6
2)      3 x 7
3)      5 x 8
4)      9 x 2
5)      6 x 7
6)      13 + 14
7)      15 + 15
8)      18 – 12
9)      19 – 7
10)   11 – 6
11)   50 ÷ 5
12)   48 ÷ 6
13)   35 ÷ 7
14)   42 ÷ 6
15)   36 ÷ 9
16)   8 x 10
17)   9 x 100
18)   3 x 10
19)   14 x 100
20)   17 x 10

National Resource Centre for Supplementary Education membership number: NRC481

Registered Company number: 6529368

Ofsted Registration number: EY433002

Our club is a member of the OOSA (Out of School Alliance): http://www.outofschoolalliance.co.uk

02082458957 / brighterfutures@london.com