Design to simplify adding and calculating

The following arrangements may help to simplify arithmetical work on documents:

  1. A form designed for vertical addition and subtraction will be easier to use than one designed horizontally.
  2. Items to be subtracted should be arranged below the items from which they are subtracted.
  3. Items to be added or subtracted should be arranged in adjacent entry spaces; they should not be separated by other figures.
  4. If cross casting is necessary it will be done more easily, quickly, and with fewer , errors if items such as £ s. d., or tons, cwts., and lb. etc. are staggered diagonally; (this arrangement of totals on a columnar sheet need not involve the use of extra space, as a vertical space of ⅛″ between the horizontal lines is sufficient to provide the diagonal pattern required, i.e. ⅜″ in all for £ s. d.).

When it is necessary to add items in a series of similar forms the items can be positioned at the edge of the forms enabling them to be overlapped for totalling. This method is useful for analysis as well as summarisation; the original documents can always be reassembled (i.e. overlapped again) for checking etc. purposes.

Mistakes are easier to correct if totals of a series of separate sheets are carried on to a recapitulation sheet of identical ruling instead of bringing and carrying forward on each sheet. A small number of sheets can be cut to different depths so that the totals on each page are visible at one time and a grand total can be obtained without carrying forward on individual sheets.

Accounting work may sometimes be facilitated by:

  1. Ready reckoners specially designed for use with the form.
  2. Carbonised posting strips to provide a record of the postings made; these strips provide a total for control purposes, and proof of posting the right amount to the right account.
  3. ‘Exception’ or ‘negative’ posting, e.g. recording only individual amounts not paid, or only the items to which attention must be directed.
Form with title: STAFFING RETURN.
Column titles:
AREA.
STAFF IN POST AT 1ST JANUARY 1959.
STAFF REQUIRED AT 31ST DECEMBER 1960.
VARIATION + or -.
Each overall column has sub-columns:
Skilled, semi-skilled, un-skilled, total.
Row 1 NORTH.
Staff in post.
Skilled: 7,131, Semi-skilled: 7,785, Un-skilled: 5,204, Total: 20,120.
Staff required.
Skilled:  8,672, Semi-skilled: 8,395, Un-skilled: 5,094, Total: 22,161.
Variation + or -.
Skilled: 1,541, Semi-skilled: + 610, Un-skilled: - 110, Total: + 2,041.
Row 2 MIDLAND.
Staff in post.
Skilled: 5,900, Semi-skilled: 5,919, Un-skilled: 4,219, Total: 16,038.
Staff required.
Skilled: 6,324, Semi-skilled: 5,900, Un-skilled: 4,196, Total: 16,420.
Variation + or -.
Skilled: + 424, Semi-skilled: - 19, Un-skilled: - 23, Total: + 382.
Row 3 LONDON.
Staff in post.
Skilled: 1,839, Semi-skilled: 2,324, Un-skilled: 1,165, Total: 5,328.
Staff required.
Skilled: 2,140, Semi-skilled: 2,522, Un-skilled: 1,136, Total: 5,798.
Variation + or -.
Skilled: + 301, Semi-skilled: + 198, Un-skilled: - 29, Total: + 470.
Row 4 SOUTH.
Staff in post.
Skilled: 5,975, Semi-skilled: 6,312, Un-skilled: 4,043, Total: 16,329.
Staff required.
Skilled: 6,855, Semi-skilled: 7,109, Un-skilled: 4,232, Total: 18,196.
Variation + or -.
Skilled: + 880, Semi-skilled: + 798, Un-skilled: + 189, Total: + 1,867.
Row 5 TOTAL.
Staff in post.
Skilled: 20,845, Semi-skilled: 22,339, Un-skilled: 14,631, Total: 57,815.
Staff required.
Skilled: 23,9921, Semi-skilled: 23,926, Un-skilled: 14,658, Total: 62,575.
Variation + or -.
Skilled: + 3,146, Semi-skilled: + 1,587, Un-skilled: + 27, Total: + 4,760.
Data with the same sub-column title are aligned, for example to the top of the cell which allows you to compare between top level columns.
When lines of figures are staggered, this not only facilitates totalling and cross casting but also makes it easier to interpret and compare the statistical data for one period with another
Top shows series of 3 fields in groups with values:
3, 17, 6.
5, 10, 9.
18, 15, 7.
1, 16, 11.
7, 9 11.
6, 16, (period mark).
Second example shows same values and grouping but the first number is aligned to the top of the cell, second aligned to the middle, third to the bottom.
By staggering cash entries cross addition can be made much easier; this also reduces the possibility of mistakes. Staggering need not take up more space on the form than that used in the non-staggered arrangement
Example of total credits total comparsion form.
Each group has a blank field for £, s. and d.
The fields with the same name are on the same row to make it easier to compare, for example £ amounts and then total them.
Another method of staggering cash entries for easy cross addition; this method takes up more space than the arrangement shown above but may be more suited to the general pattern of a form
Form with title COST ANALYSIS SHEET.
STATION: Aden.
RATE: 19/6 per kg.
MONTH: May, 1953.
DEPT: Colonial Office.
MIN CHARGE: 78/-.
TYPE OF BAG: Full rate.
MIN WEIGHT: 4kg.
Table four columns.
Column 1 divison,
Column 2 date of despatch,
Sub-columns for dates 4, 11, 18, 25.
Column 3 total weight of goods sent.
Column 4 allocated cost of monthly freight (shillings).
Row 1 PRODUCTION SERVICES.
Date of dispatch: (4) 3 / 3, (11) 1 / 1, (18) 3 / 1, (25) 4 / 0.
Total weight: 11 / 5.
Allocated cost: 261.1.
Row 2 PHOTOGRAPHS.
Date of dispatch: (4) blank / 9, (11) blank / 2, (18) 1 / 1, (25) blank / 8.
Total weight: 3 / 0.
Allocated cost: 68.1.
Row 3 REFERENCE.
Date of dispatch: (4) 1 / 0, (11) blank / 7, (18) blank / 9, (25) 1 / 1.
Total weight: 3 / 7.
Allocated cost: 84.0.
Row 4 OVERSEAS PRESS.
Date of dispatch: (4) blank / 2, (11) blank / 2, (18) blank / 2, (25) blank / 2.
Total weight: blank / 8.
Allocated cost: 18.1.
Row 5 FILMS.
Date of dispatch: (4) blank / 7, (11) blank / 4, (18) blank / 7, (25) blank / 9.
Total weight: 2 / 7.
Allocated cost: 61.3
Row 6 URGENT GOVT DESPATCH.
Date of dispatch: (4) 1 / 4, (11) blank / blank, (18) 2 / 1, (25) 4 / 0.
Total weight: 27 / 5.
Allocated cost: 170.4.
Row 7 ACTUAL WEIGHT OF BAG.
Date of dispatch: (4) 8 / 1, (11) 3 / 2, (18) 8 / 8, (25) 11 / 6.
Total weight: 29 / 2.
Allocated cost: 663.0.
Row 8 BAG NUMBER: (4) 627, (11) 695, (18) 701, (25) 724.
Row 9 ACTUAL COST OF BAG.
(4) 8 / 15 / 6, (11) 3 / 18 / 6, (18) 8 / 15 / 6, (25) 11, 14, 0).
ACTUAL MONTHLY FREIGHT COST: £33-3-0.
On this form dotted diagonal lines provide another method of ‘staggering’ to facilitate cross addition of Kilogrammes and the ‘Actual Cost of Bag’ figures at the bottom
Empty form with columns Date, Voucher, Receipts, Issues, Balance.
All columns has many rows.
All columns apart from date have three sub columns.

This arrangement of columns is less convenient for addition and subtraction than the layout shown in the example below

Form with date field empty.
Table with columns Date, Voucher, Receipts, Balance, Issues, Date, V.
Date has entry 19.
Voucher has entry Bt. fwd.
Receipts has 4 sub entries: cwt, qrs, lbs, ozs.
Balance has 4 sub entries: cwt, qrs, lbs, ozs.
Issues has 4 sub entries: cwt, qrs, lbs, ozs.
Date has entry 19.
V has entry B.
Many empty rows follow.
Addition of ‘Receipts’ to ‘Balance’ is made left to right, and the deduction of ‘Issues’ from ‘Balance’ is made right from left. This arrangement helps to reduce the possibility of error; for example, by adding instead of deducting the issues
Form with “carried forward column” at the right most part, which is folded over to the back side of the form.

Forms can be printed so that closing entries can be used as opening figures for the next sheet or reverse side of the same sheet, e.g. ‘carried forward’ and “brought forward’ figures

Two forms with identical columns: Description, No., Balance Bt. Fwd., Quantity. Form on top is folded slightly to show comparison of form below.
If ‘carry forward’ figures can be used to provide the corresponding ‘brought forward’ figures by the use of carbon, not only are time and effort saved, but the risk of error is reduced
Two forms on top of each other.
Top form has title of second quarter, with totals for 1st Qr. and 2nd Qr.
The form below has title of fourth quarter, with totals 3rd Qr. and 4th Qr, additionally total Year.
Both forms include rows with entries for T which have stippled colour and P which are blank.
This form is tumbler printed and when turned back, as in the illustration, the column totals for the 1st and 2nd quarters on one side of the form can be aligned with the corresponding totals for the 3rd and 4th quarters on the other side; a total for the year can thus be obtained without writing down and carrying forward a separate sub-total for the 1st and 2nd quarters. Spaces for the entry of temporary variations in pay are stippled
Form with title PAY SHEET.
Columns: No., Basic pay, Overtime, Gross pay, Total deductions, Deductions (H, U, Nat. S, Tax), Net pay
For first two rows there is card that obscures data apart from Gross pay, total deductions and Net pay.
Gross pay: 5, 11, (period mark).
Total deductions: 1, 1, (period mark).
Net pay: 4, 10, (period mark).
Unobscured row no 3 shows.
Basic pay: 4, 7, 6.
Overtime: 5, 6.
Gross pay: 4, 13, (period mark).
Total deductions: 1, 2, (period mark).
Deductions: (Nat. s) 5, (period mark). (Tax) 17, (period mark).
Net pay: 3, 11, (period mark).
Addition can be made easier by using masks of card or paper which conceal entries not to be used in the calculation
Form untitled with PERIOD April — June 1959.
Column 1 with title Class 1.
9, 10 ,4.
12, 9, 8.
2, 2, -.
2, 2, -.
8, 10, -.
3, 5, 6.
Total: 37, 19, 6.
Total: 30, 10, 6.
Total: 41, 5, -.
Total: 109, 15, -.
Column 2 with title Class 2.
11, 7, 6.
3, 3, -.
4, 4, -.
Total: 18, 14, 6.
Total: 10, 10, -.
Total: 20, -, -.
Total: 49, 4, 6.
Column 3 with title Class 3.
10, -, -.
10, -, -.
5, -, -.
5, -, -.
Total: 30, -, -.
Total: 15, 15, -.
Total: 35, -, -.
Total: 80, 15, -.
Column 4 with title Class 4.
10, 4, 6.
7, 18, -.
6, 10, -.
Total: 24, 12, 6.
Total: 10, 10, 6.
Total: 11, 7, 6.
Total: 55, 19, 6.
Sheets with identical rulings cut to different depths so that the totals on each are visible for comparison and addition to a grand total
Card with 4 different tables that reference a main column of references in the middle by folding the paper to align with the reference.

Ready Reckoners are used as an aid to repetitive calculation, or as an alternative to the use of a machine. Ready Reckoners often give the advantage of rounding printed figures or answers up and down to suit practical purposes, e.g. to correspond with units of issue, and may provide two or three answers simultaneously

5 reference tables.
Table 1 with title 20s. 10d.
Four columns: No., £, s., d..
Row 1: 1, 0, 10.
Row 2: 2, 1, 8.
Row 3: 3, 2, 6.
Row 4: 4, 3, 4.
Bold Row 5: 5, 4, 2.
Row 6: 6, 5, 0.
Row 7: 7, 5, 10.
Row 8: 8, 6, 8.
Row 9: 9, 7, 6.
Bold Row 10: 10, 8, 4.
Row 11: 11, 9, 2.
Table 2 with title 20s. 11d.
Row 1: 1, 0, 11.
Row 2: 2, 1, 10.
Row 3: 3, 2, 9.
Row 4: 4, 3, 8.
Bold Row 5: 5, 4, 7.
Row 6: 6, 5 6.
Row 7: 7, 6, 5.
Row 8: 8, 7, 4.
Row 9: 9, 8, 3.
Bold Row 10: 10, 9, 2.
Row 11: 11, 10, 1.
Table 3 with title 21s.
Row 1: 1, 1, 0.
Row 2: 2, 2, 0.
Row 3: 3, 3, 0.
Row 4: 4, 4, 0.
Bold Row 5: 5, 5, 0.
Row 6: 6, 6, 0.
Row 7: 7, 7, 0.
Row 8: 8, 8, 0.
Row 9: 9, 9, 0.
Bold Row 10: 10, 10, 0.
Row 11: 11, 11, 0.
Table 4 with title 21s. 1d.
Row 1: 1, 1, 1.
Row 2: 2, 2, 2.
Row 3: 3, 3, 3.
Row 4: 4, 4, 4.
Bold Row 5: 5, 5, 5.
Row 6: 6, 6, 6.
Row 7: 7, 7, 7.
Row 8: 8, 8, 8.
Row 9: 9, 9, 9.
Bold Row 10: 10, 10, 10.
Row 11: 11, 11, 11.
Table 5 with title 21s. 2d.
Row 1: 1, 1, 2.
Row 2: 2, 2, 4.
Row 3: 3, 3, 6.
Row 4: 4, 4, 8.
Bold Row 5: 5, 5, 10.
Row 6: 6, 7, 0.
Row 7: 7, 8, 2.
Row 8: 8, 9, 4.
Row 9: 9, 10, 6.
Bold Row 10: 10, 11, 8.
Row 11: 11, 12, 10.
The efficient Ready Reckoner should help the hand and eye in use on a job, e.g. reference and selection is quicker and easier when a solid mass of figures is broken up by suitable spacing, or the use of bold type
Stacked DAILY TIME SHEET one for each day of the week.
Form Thursday.
HQRS.: Blanktown.
Name: J.R. Holme (block letters).
Control: Blanktown.
Rota Duty No., blank field.
Rank: T2 BU.
Date: 22-5-59.
Time: From 7.45a.m, TO 8.30p.m.
Vehicle type: Morris. No.: U1473.
Remarks re claims for conveyance & subsistence: working at blank(unreadable).
Signed: (Signature) J.R. Holme.
Entries on this form must be
strictly accurate. The deliberate
entry of incorrect particulars ts
regarded as a grave offence.
CERTIFIED. The extra duty claimed “ts:
in excess of the scheduled normal
week. Signed: R. A. Allan.
A.E/INSP.
Sunday paid HRS.: 2.
Sunday: 57 1/2.
Total hours allocated: 11 3/4.
Night hours on extra duty: 1/2.
Sunday an extra duty: 3.
Trav. to other H.Q. outside normal hours, blank field.
Allowances see RG71, blank fliend.
DVG. Allce.: 8d
Cycle Clg. Allice., blank field.
Sub’t’n acting rank, blank field.
Form Wednesday, total hours: 8 3/4.
Form Tuesday, total hours: 9 3/4.
Form Monday, total hours: 8 3/4.
Form Saturday, total hours: 5.
Form Friday, total hours: 11 1/2. Night hours: 1/4. Sunday and extra duty: 2 1/2.
Form Sunday, total hours 2. Sunday and extra duty: 2.
Each day has DVG. Allce. as 8d.
These Daily Time Sheets for one workman are summarised weekly by overlapping the forms so that entries in the spaces on the bottom edges make a column of figures; the totals so obtained are entered in the shaded box of the top copy, i.e. the last Time Sheet of the week. This dispenses with the need to create a separate list or summary of the Daily Time Sheets. When the totals have been recorded on other pay etc. documents, the weekly batch of Daily Time Sheets for each workman are stapled together for filing in alphabetical order; the forms can therefore be reassembled in the overlapping position at any time, e.g. for audit purposes
The carbon-coated posting strip provides a simple and inexpensive proof sheet for control purposes. Individual entries on the posting strip and separate accounting records are made in one writing operation. The totals on the posting strip provide control figures to prove posting both the correct amount and the correct account
The carbon-coated posting strip provides a simple and inexpensive proof sheet for control purposes. Individual entries on the posting strip and separate accounting records are made in one writing operation. The totals on the posting strip provide control figures to prove posting both the correct amount and the correct account
Army Form K 1257.
METER CARD.
(This Card is the property of the War Department).
Address: Major R. Wilkinson, Regents Park.
Meter Number: 3305723.
Date Installed: blank field.
Lighting power or Gas water (crossed out).*
* Delete as appropriate.
Start entries (Columns 1 to 5) at FOOT
of page and work UPWARDS.
Table with 5 columns:
Date of Reading,
Reading,
Consumption since previous reading units gallons cubic feet,
Entered by Meter Reader on AF. K.1250 on Folio No.,
Signature of Meter Reader.
Entries are at the bottom of the form.
Date: 39.6.59, Reading: 60325, Consumption: 289.
Date: 31.5:59, Reading: 60036, Consumption: 309.
Date: 30.4:59, Reading: 59727, Consumption: 420.
Date: 31.3:59, Reading: 59307, Consumption: 556.
Date: 28.2:59, Reading: 58751, Consumption: dash.
The entries on this meter card are started at the bottom instead of at the top of the form as this facilitates calculation of the amount consumed; the previous meter reading can thus be deducted from the latest reading in the normal way; this is easier and less subject to error than starting at the top which would involve a deduction ‘upside-down’. The column for the meter reading is divided by vertical dotted lines to provide a separate space for each digit
Empty form with first column for items and other columns for value in money.

Forms may be overlapped by means of punched holes and a peg board. Various holding devices can be used to keep the overlapped forms in position for totalling

Form with title Pre-control.
Table with columns:
Employer’s Health Insurance,
Full pay,
Contributions,
Sub-columns:
Health,
Billeting,
WDF.
Row headings include:
New totals,
Total variations,
Basic,
Permanent variations.
Arrangement of entry spaces and use of stippling to facilitate addition. In each period the operations are:
  1. Add ‘Basic’ to ‘Total variations’ to give ‘New totals’.
  2. Add ‘Permanent variations’ to ‘Basic’ and enter total against ‘Basic’ on the next lower set of entry spaces.

The items have been arranged so that all additions are carried out over adjoining entry spaces, without jumping over entries. The entries which are relevant to one period only are stippled green; those relevant from period to period are not stippled. The entries for each period are clearly grouped by heavier lines

Form with title weekly cash list.
Column 1 A/c no.
Column 2 amount due.
Column 3 amount paid.
Column 4 balance.
Rows have cash paid between 7 and 10.
Totals add up to 11, 13, 6 due. 10 - - paid. 1, 13, 6 balance.
Date: 21.4
Daily cash totals, blank field.
Second form attached seamlessly for comparison with title week numbers.
Columns 1 though 13.

Accounting work can be reduced by exception or negative posting, e.g. posting only the ‘balance’ outstanding. This ‘exception’ principle directs attention to variations from the normal

Tumbler printing makes it possible to fold over the top edge of a form so that the ‘carried forward’ sub-totals on one side can be aligned above the ‘brought forward’ entry spaces on the other side; this facilitates copying these figures for the ‘totals’ and reduces the risk of error
Tumbler printing makes it possible to fold over the top edge of a form so that the ‘carried forward’ sub-totals on one side can be aligned above the ‘brought forward’ entry spaces on the other side; this facilitates copying these figures for the ‘totals’ and reduces the risk of error
Table with columns 2 through 8.
Column 2 empty.
Column 3 accounts.
Column 4 check mark.
Column 5 Code No.
Column 6 Summary.
Column 7 Code no summ:.
Column 8 carried numbers.
Example row:
Amount: 10, -.
Check mark: Checked.
Code no: 9.
Summary: blank.
Code no summ: blank.

This method of coded analysis uses a small sheet and provides proof of correct summarisation. The sundry payments shown are treated as follows:

  1. Classify each amount in Col. 3 by placing a code number in Col. 5; this code number is selected from those pre-printed in Col. 8—the number in Col. 8 is crossed through when first used to indicate the codes used.
  2. Total the amounts and code numbers in Cols. 3 and 5.
  3. Summarise the amounts in Col. 3 for each code and enter each total in Col. 6 on the same line as the corresponding code number of Col. 8—a tick is placed in Col. 4 as each amount is transferred to the summary in Col. 6.
  4. Multiply each code number in Col. 5 by the number of times it is used and enter the product in Col. 7 also on the same line as the corresponding code number of Col. 8—the tick in Col. 4 is crossed through as each code is summarised for Col. 7.
  5. Total Cols. 6 and 7—which should agree with the totals for Cols. 3 and 5 if correct.

With a little practice this method is easy to use. The idea can be adapted to suit requirements (e.g. for a different layout, or used without pre-printed code numbers in Col. 8 when more than 25 classifications are needed). Where a wide variety of transactions occur infrequently this method could dispense with the need for recording in several separate books of account

Form with title MEMBERS COMMENTS ON ORGANISATION AND METHODS TRAINING COURSE / 1958.
If you have any changes to suggest please enter: M = more; L= less; O= omit; A= alter.
Otherwise leave column blank.
Please also give reasons for changes suggested, e.g.
MORE information about xxx, say, one session.
LESS xxxx: two sessions would suffice.
OMIT Too elementary.
ALTER PRESENTATION: discussion would be better than film.
ALTER PROGRAMME ORDER to take xxxx first week.
ALTER CONTENT to include more yyyy instead of xxxx.
Table two columns.
First column: Subject
Row headings:
ORGANISATION AND MANAGEMENT,
Local Office management,
Office Supervision (film),
Costing,
Syndicate problems (1 2 3),
Case studies (1 2 3),
PRACTICE OF O&M,
Planning and starting the assignment,
Conduct of enquiries.
Second column:  REASONS FOR ANY CHANGES RECOMMENDED. Continue on separate sheet if necessary.
This form positions entries about change on the left edge so that all the forms can be overlapped to provide a quick indication of the subjects needing alteration, and so that the comments of all members can be summarised easily. The reasons for any suggested change are placed adjacent to the coded entry so that these comments can be conveniently related to the action suggested by members