Year 7 Level 4 Probing Questions Version A

• Multiply & divide any positive integer up to 10 000 by 10 or 100 and understand the effect. • Compare and order a mixed set of numbers or measurements with up to three decimal places.

• Recognise and use multiples and factors and primes; use simple tests of divisibility.

• Multiply a fraction by an integer.

• Understand percentage as the number of parts in every 100 and find simple percentages of small whole-number quantities.

Why’s that, then?

Hey, Look!

30 ÷ 10 gives the same answer as 300 ÷ 100.

I wonder if it works for multiplying too?

I bet I can find some other ones as well!

I think 3.146 is a number that is between these?

3.14 and 3.15

I think 3.146 is closer to 3.14

What if these numbers are pounds and pence?

How do you guys know this?

Doesn’t every number have an infinite number of factors?

I found a number that has 3 factors!

You must have made a mistake, because every number has an even number of factors I bet your number is a prime number.

Could your number end in a 5?

Don’t you need a calculator for that?

I can find any number bigger than 500 that is divisible by 3!

Tell me your number and I’ll tell you if it’s also divisible by 6!

I can tell if you can find 1 of other amounts.

8 Could you 1 find 3 of it?

£72

I can find of that!

8 One eighth of 72… Hmm. Where’s the button for “of”?

I need an easy way to work out VAT.

Was £240 Now 20% Off Finding 10% is easy!

To find 20% all you have to do is divide by 20!

Calculations

• Calculate mentally a difference such as 8006 2993.

• Recall multiplication facts to 10 x 10 and derive associated division facts.

• Add and subtract decimals using written methods.

• Use written methods to calculate HTU x U and HTU ÷ U.

• Check whether a result is the right order of magnitude.

I think I can do it easily without a calculator.

8006 – 2993?

This is really hard! I think I need a calculator.

How can you tell if there’s a short way of doing it in your head?

I forgot my 8 timestables. How can I work them out?

Did you know that 4 X 7 = 28? That could help.

I wonder if you could use facts from other timestables?

I can see you made at least one mistake.

There! That should do it!

How did she know there was something wrong?

What numbers did you multiply to get the 7?

I think I got this right. I wonder how I could check to see if it’s correct?

I like the grid method of doing multiplying. Would you like to see it?

I think I have enough money for 8.

I think 8 will cost more than £4.

Shape, Space and Measures

• Recognise and visualise the transformation and symmetry of 2-D shapes including reflection in given mirror lines, and line symmetry.

• Read and interpret scales on a range of measuring equipment.

• Understand area measured in square centimetres (cm2).

• Read and plot coordinates in the first quadrant.

I don’t have a mirror – could I use tracing paper?

I can reflect any object in a line of symmetry if I have a mirror

Let me see you do this one – it’s really hard!

I don’t need any equipment at all!

What’s the first thing I should look for?

How can I decide what each division is?

What other shapes could be measured in square centimetres?

I can’t decide. Is the area of the front cover 100 cm 2 , 600 cm 2 or 6000 cm 2 ?

Why do you think it’s any of them at all?

I wonder why are there two numbers?

How do I read the scales?

We’re supposed to put an “X” on the point (2, 5).

Which way is the first number again?

Handling data

• Solve a problem by representing, extracting and interpreting data in tables, graphs and charts.

• Calculate statistics for small sets of discrete data: – find the mode, median and range; – calculate the mean in simple cases.

I wonder what kind of questions the teacher is going to ask about this stuff?

This looks really hard.

I think these questions will be easy!

Mean How are they working these out?

Median

I can think of 5 numbers that have a mode of 10

Mode Range

I can think of five numbers that have a mode of 10 and a range of 8.

I can think of five numbers that have a range of 8 and a mean of 6.

Thanks to Emile Pinco, Head of Mathematics at Churchdown School, for compiling this resource Based on material from the Secondary Strategy’s ‘Focused Assessment Materials’ (APP) and ‘Progression Maps’ Some images from www.stfx.ca

Year 7 Level 4 Probing Questions Version A

Transcript Year 7 Level 4 Probing Questions Version A

Using Probing Questions in Mathematics lessons

Year 7 Level 4 Assessment Criteria

Numbers and The Number System

Calculations

Shape, Space and Measures

Handling data

Directory