Solve it...!

Numeracy problems to solve for Key Stage 1, 2 and 3

 Key Stage 1     Solve it...!     Can you find the hidden picture!

You will need coloured crayons or pens, and you will need to print off the activities.

To find the picture work out the answer to each addition in the box look at the key to choose which colour to use to fill in each box. If 4+8 is in the box, the answer is 12 and therefore colour the box yellow (the key is on the picture page).

Use the key on the picture page to work out and colour in the boxes to reveal the picture.

This time the hidden picture will be revealed by joining the dots in the correct order.

Work out the answer starting at number one.
Draw a line from one answer to the next.

 1. 20 + 40 + 20 = 16. 10 + 20 + 10 = 2. 60 + 70 + 60 = 17. 80 + 80 + 80 = 3. 20 + 30 + 50 = 18. 20 + 30 + 20 = 4. 30 + 30 + 30 = 19. 40 + 40 + 40 = 5. 10 + 10 + 10 = 20. 40 + 70 + 40 = 6. 70 + 40 + 90 = 21. 50 + 70 + 50 = 7. 80 + 80 + 70 = 22. 20 + 10 + 20 = 8. 100 + 90 + 90 = 23. 80 + 90 + 80 = 9. 120 + 50 + 130 = 24. 30 + 90 + 60 = 10. 30 + 20 + 10 = 25. 20 + 50 + 60 = 11. 90 + 90 + 110 = 26. 90 + 80 + 90 = 12. 80 + 60 + 70 = 27. 40 + 80 + 40 = 13. 30 + 20 + 60 = 28. 90 + 90 + 90 = 14. 30 + 40 + 70 = 29. 130 + 90 + 90 = 15. 80 + 70 + 70 = 30. 30 + 20 + 30 =

An extra Challenge

 Follow the trail to find out how far Tom rides to school every morning.

 Tom rides ______ meters every morning.

 Key Stage 2  Solve it...!  The exact Amount and no more!

Jade is packing sugar strands to sell on a biscuit decorating stall. She plans to package the sugar strands in several different package sizes. The package sizes vary from 1 gram to 10 grams. Jade is using a balance scale and gram masses. She only has one 2-gram, one 3-gram, and one 4-gram mass. She wonders how she will measure packages of 1 gram, 5 grams and so on.

How is jade going to make up packages of all the sizes from 1 gram to 10 grams?

Hint

• You may put your gram masses in either pan or both pans of the balance.
• You don't have to make the packets up in order
 Package size Balance Scales KEY Blue - gram weight Packet of sugar strands S - required amount od sugar strands Pan A Pan B 1 gram 2 grams 3 grams 4 grams 4 S 5 grams 6 grams 7 grams 4 ....3 S 8 grams 9 grams 10 grams

Can you continue the table and show how you could measure out packages of 11 to 20 grams.

The extra challenge

Try the same experiment with the following gram masses, 1 gram, 3 grams, 8 grams. Can you still make up packets weighing from 1 gram to 20 grams?

 Key Stage 3  Solve it...!  Wood Workings

A joinery firm has received an order for bird resting boxes from a wildlife sanctuary.

The design specification is to match that below.

 All dimensions given in cm.

The boss works out that all the parts can be made from a plank of wood 16cm wide.
What is the minimum length of plank required to make the box?

Hint
Think about: how many pieces of wood are required, what would be the most efficient way of cutting them?

A type of finch needs between 2000 and 3000 cm3 of space to be able to nest. Will this design of nest box be appropriate?

A rare hawk also requires a nesting box. it needs one 4 times as large as the one above. What will its dimensions be? How wide will the plank of wood need to be?

The wood for this box is only available in 2m lengths.
How many will be needed.

Calculate the volume of this box. What is the relationship between the volumes of the two nesting boxes?

Hint
How could we use the knowledge of making the dimensions 4 times as big to help us calculate the larger volume given the smaller one?

These problems were sourced by
North East Lincolnshire's Numeracy Team

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