daily number puzzles & online maths tuition

Today’s Challenge

A 7-step question – carry out these instructions:

1.  Work out the sum of 4 and 6,
2.  Calculate the product of 4 and 6,
3.  Find the difference between the two answers in points 1 and 2,
4.  Square the answer to point 3,
5.  Subtract 75 from your answer in point 4,
6.  Find the Square Root of your answer in point 5,
7.  Multiply your answer in point 6 by 10.

Can you work out the correct answer after the 7th step?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

What is the product of the smallest and largest numbers on this list?

Make 110 Challenge

Can you arrive at 110 by inserting 6, 7, 8 and 10 into the gaps on both lines?

•  (◯+◯)×◯+◯ = 110
•  (◯+◯)×◯+double◯ = 110

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

A warm welcome to 7puzzleblog.com and our compendium of daily number puzzles, posted 7 days a week and designed for our many followers from over 160 countries & territories.

This is also the place to read about our involvement in a variety of other mathematical activities, including our successful venture into delivering online maths tuition worldwide.

The World’s #1 Daily Number Puzzle Website

Simply type daily number puzzles into Google, Bing or Yahoo; you will see 7puzzleblog.com officially listed at #1. We appreciate and value your continued support.

Our aim

To improve basic knowledge and confidence of arithmetic in a fun way. Start your numerical adventure by trying to solve our latest number puzzles shown above.

How to use our website

As well as our most recent challenges, you can click on the dates below to access the remainder of our number puzzles. We will reply to all comments & answers as well as tweets to @7puzzle and e-mails to paul@7puzzle.com.

Three number puzzles are posted daily, thus adding to our bumper collection of challenges. The second of these is always related to our signature board game.

Copyright

Although we encourage use of all our puzzles for educational purposes or simply for fun, no part of this website may be reproduced or transmitted without prior permission.

Number puzzles & solutions; Copyright © Paul Godding.

Spread the message

Please inform family, friends, students, colleagues and puzzle enthusiasts about our fabulous daily number puzzles at 7puzzleblog.com; tell them the answers are provided!

Enjoy your visit.

Paul Godding

Author/Awdur/Autor/Autor/Auteur/Údar/Autore

January/Ionawr/Enero/Janeiro/Janvier/Eanáir/Gennaio

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       26       27       28       29       30       31

February/Chwefror/Febrero/Fevereiro/Février/Feabhra/Febbraio

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       26       27       28       29

March/Mawrth/Marzo/Março/Mars/Márta/Marzo

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       26       27       28       29       30       31

April/Ebrill/Abril/Abril/Avril/Aibreán/Aprile

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       26       27       28       29       30

May/Mai/Mayo/Maio/Mai/Bealtaine/Maggio

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       26       27       28       29       30       31

June/Mehefin/Junio/Junho/Juin/Meitheamh/Guigno

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       26       27       28       29       30

July/Gorffennaf/Julio/Julho/Juillet/Iúil/Luglio

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       26       27       28       29       30       31

August/Awst/Agosto/Agosto/Août/Lúnasa/Agosto

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       26       27       28       29       30       31

September/Medi/Septiembre/Setembro/Septembre/MeánFómhair/Settembre

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       26       27       28       29       30

October/Hydref/Octubre/Outubro/Octobre/DeireadhFómhair/Ottobre

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       26       27       28       29       30       31

November/Tachwedd/Noviembre/Novembro/Novembre/Samhain/Novembre

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       26       27       28       29       30

December/Rhagfyr/Diciembre/Dezembro/Décembre/Nollaig/Dicembre

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       26       27       28       29       30       31

Today’s Challenge

Last chance to get all seven correct. Be careful as there may be one or two tricky ones!

1.  (1 – 2) – (3 – 4) = ?
2.  4 ÷ 0.5 = ?
3.  What is 25 less than the product of 20 and 10?
4.  How do you write “Six and six hundredths” in decimal format?
5.  4,000 × 0.02 = ?
6.  Find 10% of £13.
7.  What is 31 × 15?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

What is the sum of the odd numbers?

Make 109 Challenge

Can you arrive at 109 by inserting 3, 8, 10 and 12 into the gaps on both lines?

•  ◯×◯–(◯+◯) = 109
•  ◯×◯+◯+◯ = 109

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

Here’s seven more mental arithmetic questions to try.  Can you get all seven correct?

1.  (11 – 5) – (4 + 1) = ?
2.  What is 10 more than –4?
3.  47 × 4 = ?
4.  0.32 ÷ 4 = ?
5.  3/4 × 2/3 = ?
6.  Which one is bigger: 2 cubed or 3 squared?
7.  You wish to buy two £30 items. Which offer would give you the best deal: (A) 15% off both items, (B) 2nd item is 40% off, (C) get 1/3 off the 2nd item, (D) 25% off 1st item, 10% off 2nd item.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

From the list, find TWO numbers that have a sum of 111.

Make 108 Challenge

Can you arrive at 108 by inserting 2, 3, 5 and 11 into the gaps on both lines?

•  ◯²×◯²+◯–◯ = 108
•  ◯×◯²+◯²+◯ = 108

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

Here’s seven tricky mental teasers to try:

1.  (18 – 5) – (7 – 17) = ?
2.  128 + 294 = ?
3.  How many seconds are in a quarter-of-an-hour?
4.  How many degrees are in three-quarters of a circle?
5.  (16 – 8) × (13 – 8) = ?
6.  On four consecutive days, you spend £55, £74, £36 and £15. What is the average amount spent per day?
7.  What is 15% of £8?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

Which two numbers have a difference of 42?

Make 107 Challenge

Can you arrive at 107 by inserting 9, 10, 11 and 12 into the gaps on both lines?

•  ◯×◯+◯–◯ = 107   (2 different ways!)
•  ◯×◯+(◯–◯)³ = 107

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

Here are seven mental arithmetic questions for you to try:

1.  Which number multiplied by itself gives 196?
2.  What is 50 + 400 + 5?
3.  54 – 45 = ?
4.  If Jo can run 10 miles in one hour, how far would she run in 15 minutes running at the same rate?
5.  (14 – 3) × (7 + 2) = ?
6.  Which fraction comes next in the list: 1/12, 1/6, 1/4, 1/3, …
7.  How many days equal 6 weeks?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

List FIVE different numbers that total 100.

Make 106 Challenge

Can you arrive at 106 by inserting 4, 5, 6 and 7 into the gaps on both lines?

•  ◯²+◯²+◯²+◯ = 106
•  ◯³–(◯+◯)×double◯ = 106

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

How quickly can you correctly answer the following seven questions?

1.  (17 – 4) + (12 – 9) = ?
2.  (3 – 2) – (16 – 16) = ?
3.  What is two-thirds plus three-quarters?
4.  109 + 10 = ?
5.  (3 + 16) + (16 + 9) = ?
6.  (11 – 5) + (4 + 1) = ?
7.  What is the perimeter of a 13cm by 13cm square?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Which two numbers in the list are cube numbers?

Make 105 Challenge

Can you arrive at 105 by inserting 5, 5, 6 and 10 into the gaps on both lines?

•  ◯×(◯+◯)–◯ = 105
•  ◯²+◯–◯÷◯ = 105

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

Here’s a selection of mental arithmetic questions.  Can you get all seven correct?

1.  (10 + 10) – (15 – 3) = ?
2.  What is the sum of 0.83 and 0.89?
3.  What is 1 × 9?
4.  If Ben earns £10 every half-hour, how much will he earn in 40 hours?
5.  If you burn 100 calories by climbing 100 stairs, how many calories would you burn when climbing 50 stairs?
6.  What is 5,456 – 4,372?
7.  Twice my age plus 4 more is 72. How old am I?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

What is the product of the two prime numbers?

Make 104 Challenge

Can you arrive at 104 by inserting 2, 4, 12 and 15 into the gaps on both lines?

•  (◯–◯)×(◯–◯) = 104
•  ◯×(◯+◯)–◯² = 104

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

Here’s a 7-part challenge to test your basic arithmetic knowledge:

1.  What is 56 divided by 14?
2.  (1 + 11) + (20 – 4) = ?
3.  Find which one of these is a factor of 14. Is it 3, 5, 7 or 10?
4.  What is the next number?  15, 30, 45, 60, …
5.  10,000 × 0.001 = ?
6.  (2 + 3) – (4 – 9) = ?
7.  What is the sum of 0.81 and 0.5?

Can you get 7 out of 7 correct?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Find THREE sets of three different numbers that have a sum of 100.

Make 103 Challenge

Can you arrive at 103 by inserting 1, 2, 6 and 8 into the gaps on both lines?

•  ◯²+◯²+◯²–◯² = 103
•  (◯+◯+◯)²–half◯² = 103

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

Today’s Challenge

Can you place the 16 numbers 0, 0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 9 into the 16 gaps below so all four lines work out arithmetically?

◯  +  ◯   =     9     =   ◯  +  ◯
◯  +  ◯   =     7     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     6     =   ◯  ÷  ◯

If you enjoyed this number puzzle, click MATHELONA for details of more.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

What is the sum of the square numbers?

Make 102 Challenge

Can you arrive at 102 by inserting 3, 4, 6 and 10 into the gaps on both lines?

•  (◯+◯+◯)×◯ = 102
•  ◯²+◯×◯÷◯ = 102

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.