Externally assessed by OCR
Unit Title:
Calculations with whole numbers, simple ratio and direct
proportion
Level:
1
Credit value:
5
Guided learning hours:
50
Unit reference number:
T/504/5990
Unit purpose and aim
On completion of this unit the learner will be able to add and subtract whole numbers up to
100,000, without using a calculator, multiply and divide whole numbers with up to three digits and
round whole numbers to the power of ten. They will have gained an understanding of square
numbers, simple ratio and proportion and be able to solve multi-step problems expressed in word
and in simple algebraic form.
The learner will be able to apply this knowledge in everyday situations, such as interpreting
numerical information published in the media, scaling quantities found in recipes and ordering
quantities of goods.
Learning Outcomes
Assessment Criteria
The Learner will:
The Learner can:
1
1.1 State the value of each
digit in a seven-digit
whole number
Be able to recognise
the value of digits in
whole numbers up to
ten million
1.2 Order whole numbers in
numbers up to sevendigits in length
Additional Information
Read, write, order and compare
numbers, including large numbers
*Maps to:
Adult Numeracy Core Curriculum:
 N1/L1.1 Read, write, order and
compare numbers in words and
figures, including large numbers
*Signposts to:
GCSE Maths criteria:
 Order rational numbers
Functional Skills criteria:
 Understand and use whole
numbers and understand negative
numbers in practical contexts
2
Be able to add and
subtract whole
numbers of any size,
without using a
calculator
2.1 Add two numbers with
answers in the range
zero to 100,000
2.2 Subtract two numbers
with answers in the
range zero to 100,000
*Maps to:
Adult Numeracy Core Curriculum:
 N1/L1.3 Add, subtract, multiply and
divide using efficient written and
mental methods
*Signposts to:
GCSE Maths criteria:
 Add, subtract, multiply and divide
© OCR 2012
1
Learning Outcomes
Assessment Criteria
Additional Information
any number
Functional Skills criteria:
 Understand and use whole
numbers and understand negative
numbers in practical contexts
 Add, subtract, multiply and divide
whole numbers using a range of
strategies
3
3.1 Multiply whole numbers
in the range of 1 to 999:
*Maps to:
Be able to multiply
whole numbers with up
to and including threedigits by whole
numbers from 1 to 99,
100 and 1000

single-digit numbers

two-digit numbers,
including multiples
of 10

100

1000
Adult Numeracy Core Curriculum:
 N1/L1.3 Add, subtract, multiply and
divide using efficient written and
mental methods
 N1/L1.4: Multiply and divide whole
numbers by 10, 100 and 1000
 N1/L1.5: Recall multiplication facts
up to 10 x 10 and make
connections with division facts
*Signposts to:
4
Be able to divide whole 4.1 Divide two-digit in the
numbers with up to and
range 1 to 999 by:
including three digits by
 single-digit numbers
whole numbers from 1
 two-digit numbers
to 99 and 100
including multiples
of 10

100
GCSE Maths criteria:
 Add, subtract, multiply and divide
any number
Functional Skills criteria:
 Understand and use whole
numbers and understand negative
numbers in practical contexts
 Add, subtract, multiply and divide
whole numbers using a range of
strategies
Answers must result in whole
numbers.
Derive division facts from:
 Known multiplication facts up to 10
 10;
 Given multiplication pairs with
products up to three digits
*Maps to:
Adult Numeracy Core Curriculum:
 N1/L1.3: Add, subtract, multiply
and divide using efficient written
and mental methods
 N1/L1.4: Multiply and divide whole
numbers by 10, 100 and 1000
 N1/L1.5: Recall multiplication facts
up to 10 x 10 and make
connections with division facts
*Signposts to:
2
© OCR 2012
Learning Outcomes
Assessment Criteria
5
5.1 Use factors and
partitioning in
multiplication involving
non-calculator methods
Be able to recognise
factors, multiples and
squares of whole
numbers
5.2 Identify:
 square numbers up
to 100
 multiples of 10, 50,
100, 1000
6
Be able to use simple
ratio and direct
proportion
6.1 Simplify given ratios
into a 1:n form
6.2 Calculate quantities
which are in a given
ratio (Form 1: n and n =
2, 3 or 4)
6.3 Calculate quantities
using direct proportion
and simple multipliers
(2, 3 and 4)
© OCR 2012
Additional Information
GCSE Maths criteria:
 Add, subtract, multiply and divide
any number
Functional Skills criteria:
 Understand and use whole
numbers and understand negative
numbers in practical contexts.
 Add, subtract, multiply and divide
whole numbers using a range of
strategies
*Maps to:
Adult Numeracy Core Curriculum:
 N1/L1.6 Recognise numerical
relationships, e.g. identify multiples
and square numbers
*Signposts to:
GCSE Maths criteria:
 Use the concepts and vocabulary
of factor, multiple, common factor,
highest common factor, least
common multiple, prime number
and prime factor decomposition.
 Use the terms square, positive and
negative square root, cube and
cube root
Functional Skills criteria:
 Understand and use whole
numbers and understand negative
numbers in practical contexts.
 Add, subtract, multiply and divide
whole numbers using a range of
strategies
*Maps to:
Adult Numeracy Core Curriculum:
 N1/L1.7: Work out simple ratio and
direct proportion
*Signposts to:
GCSE Maths criteria:
 Use ratio notation, including
reduction to its simplest form and
its various links to fraction notation
 Understand and use direct and
indirect proportion
 Divide a quantity in a given ratio
Functional Skills criteria:
 Solve simple problems involving
ratio where one number is a
multiple of another
3
Learning Outcomes
Assessment Criteria
7
7.1 Round numbers to the
nearest power of 10
Be able to round
numbers to a given
degree of accuracy
Additional Information
*Maps to:
7.2 Estimate answers to
calculations by rounding
the numbers used
Adult Numeracy Core Curriculum:
 N1/L1.8: Approximate by rounding
 N1/L1.9: Use estimation to find
appropriate solutions to problems
7.3 Interpret remainders, as
appropriate to the
situation
*Signposts to:
GCSE Maths criteria:
 Approximate to specified or
appropriate degrees of accuracy
including a given power of ten,
number of decimal places and
significant figures
Functional Skills criteria:
 Understand and use whole
numbers and understand negative
numbers in practical contexts
8
Be able to solve one
and two-step problems
expressed in word and
algebraic form resulting
in whole number
answers
8.1 Translate problems
from word form to
symbolic form
8.2 Apply arithmetic
operations to:

one-step problems

two-step problems
expressed in algebraic
form
Answers must result in whole
numbers
Know how to form word expressions
from simple expressions in symbols,
such as translating a multi-step
problem written in words to symbolic
form and matching word problems to
problems written in symbols
*Maps to:
Adult Numeracy Core Curriculum:
 N1/L1.10: Solve problems with and
without a calculator involving
positive numbers
 N1/L1.11: Solve problems involving
algebra
*Signposts to:
GCSE Maths criteria:
 Set up and solve simple equations
including simultaneous equations in
two unknowns.
Functional Skills criteria:
 Use simple formulae expressed in
words for one-or two-step
operations
Assessment
Externally assessed by OCR set and marked tests, requiring short-answer responses.
Available as paper-based and on-screen assessment.
No calculator can be used for this unit.
4
© OCR 2012
*Mapping and Signposting Information
This unit covers areas of the Adult Numeracy Core Curriculum (ANCC). For ease of reference we
have indicated which parts of the unit map to which elements of the ANCC.
Achievement of this unit will also support learners who wish to progress to other programmes of
learning and the Signposting information indicates areas within a Functional Skills (mathematics)
or GSCE (mathematics) programme of learning that a learner will be able to more confidently
progress towards after completion. This unit will not support progression towards any parts of the
GCSE or Functional Skills criteria that are in italics.
© OCR 2012
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