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OCR GCSE MATHS 5.1 AND 5.2 TYPES OF SHAPES AND SYMMETRY(LATEST EXAM QUESTIONS AND CORRECT ANSWERS)A+GRADED
Exercise 1 
1 a What is the mathematical name for this shape? 
b What do the arrow markings on the lines mean? 
c Complete this statement: PQ is parallel to ................ 
d Complete this statement: The length of PS is equal to the length of ................ 
e Use letters to name the angle labelled 55°. 
5.1 AND 5.2 TYPES OF SHAPE AND SYMMETRY 
©Cambridge University Press and OCR 2021 2 
2 What are the mathematical names of the following quadrilaterals? 
a b c d 
3 Name each shape, given t...
- Package deal
- Exam (elaborations)
- • 4 pages •
Exercise 1 
1 a What is the mathematical name for this shape? 
b What do the arrow markings on the lines mean? 
c Complete this statement: PQ is parallel to ................ 
d Complete this statement: The length of PS is equal to the length of ................ 
e Use letters to name the angle labelled 55°. 
5.1 AND 5.2 TYPES OF SHAPE AND SYMMETRY 
©Cambridge University Press and OCR 2021 2 
2 What are the mathematical names of the following quadrilaterals? 
a b c d 
3 Name each shape, given t...
H167/02: GCE PSYCHOLOGY STUDY GUIDE(Advanced Subsidiary GCE)A+ GRADED 100% SUCCESS
OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of 
qualifications to meet the needs of candidates of all ages and abilities. OCR qualifications 
include AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, 
Functional Skills, Key Skills, Entry Level qualifications, NVQs and vocational qualifications in 
areas such as IT, business, languages, teaching/training, administration and secretarial skills. 
It is also responsible for developi...
- Other
- • 24 pages •
OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of 
qualifications to meet the needs of candidates of all ages and abilities. OCR qualifications 
include AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, 
Functional Skills, Key Skills, Entry Level qualifications, NVQs and vocational qualifications in 
areas such as IT, business, languages, teaching/training, administration and secretarial skills. 
It is also responsible for developi...
OCR GCSE MATHS 4.3 AND 4.4 FUNCTIONS AND SPECIAL SEQUENCES EXAM(QUESTIONS AND ANSWERS A+ GRADED)GUARANTEED PASS
4.3 AND 4.4 FUNCTIONS AND SPECIAL SEQUENCES 
©Cambridge University Press and OCR 2021 2 
Exercise 1 
1 Here is a function. 
x ÷ 4 + 9 y 
The input is x and the output is y. 
Write an algebraic equation for y in terms of x. 
2 Write the equation that connects the input (x) with the output (y). 
a x square × 2 y 
b x × 2 square y 
3 The diagram shows a sequence of patterns. 
 Pattern 1 Pattern 2 Pattern 3 Pattern 4 
a Work out the number of circles in Pattern 8. 
b Complete the rule. 
Pattern ...
- Package deal
- Exam (elaborations)
- • 4 pages •
4.3 AND 4.4 FUNCTIONS AND SPECIAL SEQUENCES 
©Cambridge University Press and OCR 2021 2 
Exercise 1 
1 Here is a function. 
x ÷ 4 + 9 y 
The input is x and the output is y. 
Write an algebraic equation for y in terms of x. 
2 Write the equation that connects the input (x) with the output (y). 
a x square × 2 y 
b x × 2 square y 
3 The diagram shows a sequence of patterns. 
 Pattern 1 Pattern 2 Pattern 3 Pattern 4 
a Work out the number of circles in Pattern 8. 
b Complete the rule. 
Pattern ...
OCR GCSE MATHS 4.1 AND 4.2 SEQUENCES,PATTERNS AND FINDING THE NTH TERM(QUESTIONS AND CORRECT ANSWERS)A+GRADED
4.1 AND 4.2 SEQUENCES, PATTERNS AND FINDING THE NTH TERM 
©Cambridge University Press and OCR 2021 2 
WORKED EXAMPLES 
Look at this sequence of numbers: 
1, 3, 5, 7, 9 
a Complete the table. 
Position in the 
sequence 
Value of the term Difference 
between terms 
1 1 
+ 2 
2 3 
3 
4 
5 
4 a Write down the next term of the sequence below. 
1, −1, −3, −5, … 
b Describe the rule for continuing the sequence. 
5 Here are the first four terms of a number sequence: 
2, 6, 10, 14 
a Describe...
- Package deal
- Exam (elaborations)
- • 4 pages •
4.1 AND 4.2 SEQUENCES, PATTERNS AND FINDING THE NTH TERM 
©Cambridge University Press and OCR 2021 2 
WORKED EXAMPLES 
Look at this sequence of numbers: 
1, 3, 5, 7, 9 
a Complete the table. 
Position in the 
sequence 
Value of the term Difference 
between terms 
1 1 
+ 2 
2 3 
3 
4 
5 
4 a Write down the next term of the sequence below. 
1, −1, −3, −5, … 
b Describe the rule for continuing the sequence. 
5 Here are the first four terms of a number sequence: 
2, 6, 10, 14 
a Describe...
OCR GCSE MATHS EXAM :3.5 USING ALGEBRA TO SOLVE PROBLEMS(Algebraic expressions)A+GRADED QUESTIONS AND ANSWERS
Exercise 1 
1 Which of the following simplify to p? 
a b c d 
2 These triangles are similar but not congruent. 
Are the following true or false? 
a b c d 
TIP 
An equation is two expressions linked by an ‘=’ sign, for example, 2 + 2x = 4x. 
An identity is an equation where the expressions on either side of the = sign 
are exactly the same when simplified. 
For example: 2x + 3x = 4x + x 
3 Which one of these is an identity? Explain your answer. 
a b 
4 Which of these are identities? 
a b c 
...
- Package deal
- Exam (elaborations)
- • 3 pages •
Exercise 1 
1 Which of the following simplify to p? 
a b c d 
2 These triangles are similar but not congruent. 
Are the following true or false? 
a b c d 
TIP 
An equation is two expressions linked by an ‘=’ sign, for example, 2 + 2x = 4x. 
An identity is an equation where the expressions on either side of the = sign 
are exactly the same when simplified. 
For example: 2x + 3x = 4x + x 
3 Which one of these is an identity? Explain your answer. 
a b 
4 Which of these are identities? 
a b c 
...
OCR GCSE EXAM:3.3 AND 3.4 MULTIPLYING OUT BRACKETS AND FACTORISING EXPRESSIONS ( Algebraic expressions)A+GRADED
Expand means multiply out an expression to get rid of the brackets. 
Exercise 1 
1 Multiply out and simplify if possible. 
a b c d 
e f g h 
i j k 
WORKED EXAMPLES 
Expand and simplify these expressions. 
a 
b 
Solutions 
a 3(x + 2y) − (x − 3y) You can write ‘1’ before the second bracket before multiplying out. 
3(x + 2y) − 1(x − 3y) Multiply each term inside the brackets by the term at the front of 
the brackets. 
 Be careful with signs. 
3x + 6y − 1x + 3y Collect like terms. 
...
- Package deal
- Exam (elaborations)
- • 4 pages •
Expand means multiply out an expression to get rid of the brackets. 
Exercise 1 
1 Multiply out and simplify if possible. 
a b c d 
e f g h 
i j k 
WORKED EXAMPLES 
Expand and simplify these expressions. 
a 
b 
Solutions 
a 3(x + 2y) − (x − 3y) You can write ‘1’ before the second bracket before multiplying out. 
3(x + 2y) − 1(x − 3y) Multiply each term inside the brackets by the term at the front of 
the brackets. 
 Be careful with signs. 
3x + 6y − 1x + 3y Collect like terms. 
...
ORC GCSE MATHS BASIC CALCULATION SKILLS:1.2 ORDER OF OPERATIONS (LATEST) A+GRADED GUARANTEED SUCCESS
1.2 Order of operations 
©Cambridge University Press and OCR 2021 2 
TIP 
Remember that a fraction such as becomes 
and a root such as becomes . 
2 Which of the solutions is correct in each case? 
Find the mistakes in the incorrect option. 
Option A Option B 
a 8 × 3 + 4 8 × 3 + 4 
= 24 + 4 
= 28 
8 × 3 + 4 
= 8 × 7 
= 56 
b 
= 5 × 4 + 81 
= 20 + 81 
= 101 
= 5 × 121 
= 605 
c 35 − [−20 × (5 − 4)] 35 − [−20 × (5 − 4)] 
= 35 − [−20 × 1] 
= 35 + 20 
= 55 
35 − [−20 ...
- Package deal
- Exam (elaborations)
- • 3 pages •
1.2 Order of operations 
©Cambridge University Press and OCR 2021 2 
TIP 
Remember that a fraction such as becomes 
and a root such as becomes . 
2 Which of the solutions is correct in each case? 
Find the mistakes in the incorrect option. 
Option A Option B 
a 8 × 3 + 4 8 × 3 + 4 
= 24 + 4 
= 28 
8 × 3 + 4 
= 8 × 7 
= 56 
b 
= 5 × 4 + 81 
= 20 + 81 
= 101 
= 5 × 121 
= 605 
c 35 − [−20 × (5 − 4)] 35 − [−20 × (5 − 4)] 
= 35 − [−20 × 1] 
= 35 + 20 
= 55 
35 − [−20 ...
OCS CGSE MATHS: 1.1 BASIC CALCULATIONS EXAM (QUESTIONS AND ANSWERS)A+GRADED GUARANTEED PASS
1.1 Basic calculations 
©Cambridge University Press and OCR 2021 2 
TIP 
Some questions need to be worked out in stages. 
Do not be tempted to do the calculations in your head. 
4 Subtract the product of 27 and 15 from the sum of 582 and 260. 
5 Add the difference between 1201 and 725 to the quotient of 27 divided by 3. 
6 Which of the following numbers have a difference of 42 and a product of 4600? 
a 30 and 72 b 46 and 100 c 50 and 92 
7 Charlie bought six pads of paper priced at £1.52 each...
- Package deal
- Exam (elaborations)
- • 4 pages •
1.1 Basic calculations 
©Cambridge University Press and OCR 2021 2 
TIP 
Some questions need to be worked out in stages. 
Do not be tempted to do the calculations in your head. 
4 Subtract the product of 27 and 15 from the sum of 582 and 260. 
5 Add the difference between 1201 and 725 to the quotient of 27 divided by 3. 
6 Which of the following numbers have a difference of 42 and a product of 4600? 
a 30 and 72 b 46 and 100 c 50 and 92 
7 Charlie bought six pads of paper priced at £1.52 each...
OCS GCE PSYCHOLOGY H167/01 AND ADVANCED MARK SCHEME A+ GRADED
OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of 
qualifications to meet the needs of candidates of all ages and abilities. OCR qualifications 
include AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, 
Functional Skills, Key Skills, Entry Level qualifications, NVQs and vocational qualifications in 
areas such as IT, business, languages, teaching/training, administration and secretarial skills. 
It is also responsible for developi...
- Exam (elaborations)
- • 21 pages •
OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of 
qualifications to meet the needs of candidates of all ages and abilities. OCR qualifications 
include AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, 
Functional Skills, Key Skills, Entry Level qualifications, NVQs and vocational qualifications in 
areas such as IT, business, languages, teaching/training, administration and secretarial skills. 
It is also responsible for developi...
OCR GCSE MATHEMATICS PAPER 4 (QUESTIONS AND ANSWERS)A+ GRADED
Please write clearly in black ink. Do not write in the barcodes. 
First name(s) 
Last name 
Centre number Candidate number 
OCR is an exempt Charity 
Turn over 
*3* 
© OCR 2021 [601/4606/0] 
DC (ST/SG) /6 
INSTRUCTIONS 
• Use black ink. You can use an HB pencil, but only for graphs and diagrams. 
• Write your answer to each question in the space provided. You can use extra paper if 
you need to, but you must clearly show your candidate number, the centre number and 
the question numbers....
- Exam (elaborations)
- • 20 pages •
Please write clearly in black ink. Do not write in the barcodes. 
First name(s) 
Last name 
Centre number Candidate number 
OCR is an exempt Charity 
Turn over 
*3* 
© OCR 2021 [601/4606/0] 
DC (ST/SG) /6 
INSTRUCTIONS 
• Use black ink. You can use an HB pencil, but only for graphs and diagrams. 
• Write your answer to each question in the space provided. You can use extra paper if 
you need to, but you must clearly show your candidate number, the centre number and 
the question numbers....