Transum Software

Systematic Listing Strategies

Apply systematic listing strategies to find the number of combinations and permutations of choices.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Exam-Style Description Help More...

This is level 2: find missing items and errors.

What is missing from this arrangement of the letters A, B and C?

ABC
ACB
BAC
BCA
CAB

Correct Wrong

What is missing from this arrangement of the numbers 1, 2 and 3?

123
132
213
312
321

Correct Wrong

What is missing from this arrangement of the letters X, Y and Z?

XYZ
YZX
ZXY
ZYX
YXZ

Correct Wrong

Can you spot the duplicate?

JCT, CJT, TCJ, JTC, CJT, TJC, CTJ

Correct Wrong

Can you spot the duplicate?

368, 863, 683, 386, 638, 836, 638

Correct Wrong

Can you spot the duplicate?

DEF, EFD, FDE, EFD, FED, DFE, EDF

Correct Wrong

What would come next in this system for arranging four letters?

ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
BACD
BADC
BCAD
BCDA
BDAC
?

Correct Wrong

What would come next in this system for arranging four numbers?

1234
1243
1324
1342
1423
1432
2134
2143
2314
2341
2413
2431
3124
3142
3214
3241
3412
?

Correct Wrong

What would come next in this system for arranging four letters?

QUIT
QUTI
QIUT
QITU
QTUI
QTIU
UQIT
UQTI
UIQT
UITQ
UTQI
?

Correct Wrong

Find the mistake.

STOP
STPO
SOTP
SOPT
SPTO
SPOT
TSOP
TSPO
TOSP
TOPS
TPSO
TPOS
OSTP
OSPT
OTSP
OTPS
OPST
SPTS
PSTO
PSOT
PTSO
PTOS
POST
POTS

Correct Wrong

Find the mistake.

SING
SIGN
SNIG
SNGI
SGIN
SGNI
ISNG
ISGN
INSG
INGS
IGSN
IGNS
NSIS
NSGI
NISG
NIGS
NGSI
NGIS
GSIN
GSNI
GISN
GINS
GNSI
GNIS

Correct Wrong

Find the mistake.

HAND
HADN
HNAD
HNDA
HDAN
HDND
AHND
AHDN
ANHD
ANDH
ADHN
ADNH
NHAD
NHDA
NAHD
NADH
NDHA
NDAH
DHAN
DHNA
DAHN
DANH
DNHA
DNAH

Correct Wrong

Check

This is Systematic Listing Strategies level 2. You can also try:
Level 1 Level 3 Level 4 Level 5 Level 6 Level 7

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Exercise/Listing/Default.asp?Level=2

Description of Levels

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Level 1 - Practical listing activities

Level 2 - Find missing items and errors

Level 3 - The product rule for counting

Level 4 - Find the number of arrangements

Level 5 - Standard permutation questions

Level 6 - Standard combinations questions

Level 7 - Mixed combinatorics questions

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

The video above is from Jackson Walker.

You may also want to use a calculator to check your working. See Calculator Workout skill 14.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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