Mathematics>QUESTION PAPER (QP)>OCR Oxford Cambridge and RSÄ Tuesday 7 June 2022 GCSE(921) Mathematics J560/05 Paper 5 (Higher Tier(All)

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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. If you need extra space, usethe lined pag... es at the end of this booklet. The question numbers must be clearly shown.• Answer all the questions.• Where appropriate, your answer should be supported with working. Marks might begiven for using a correct method even if your answer is wrong.INFORMATION• The total mark for this paper is 100.• The marks for each question are shown in brackets [ ].• This document has 24 pages.ADVICE• Read each question carefully before you start your answer.Tuesday 7 June 2022 – MorningGCSE (9–1) MathematicsJ560/05 Paper 5 (Higher Tier)Time allowed: 1 hour 30 minutesYou must have:• the Formulae Sheet for Higher Tier (inside thisdocument)You can use:• geometrical instruments• tracing paperDo not use:• a calculatorOxford Cambridge and RSAOCR is an exempt CharityTurn over2© OCR 2022Answer all the questions.1 Two pupils are given data that shows the estimated number of computer tablet users worldwidefrom 2014 to 2018.(a) Li creates this pie chart to show the data.20142015201620172018Number of computer tablet users (billions)Write down two reasons why Li’s pie chart is not suitable to represent the data.1 ...................................................................................................................................................................................................................................................................................................2 ...................................................................................................................................................................................................................................................................................................[2]3© OCR 2022 Turn over(b) Amaya creates this line graph to show the same data.Number ofcomputertablet users(billions)1.61.41.210.80.60.40.202014 2015 2016Year2017 2018Work out the percentage increase in the number of computer tablet users from 2014to 2018.(b) ..................................................... % [4]4© OCR 20222 The scale diagram below shows the position of two castles, J and K.NorthKNorthJScale: 1 cm represents 2 kmThe bearing of a tower from castle J is 072°.The bearing of the tower from castle K is 116°.Use construction to find the distance from castle J to the tower.Give your answer to the nearest 0.1 km..................................................... km [4]5© OCR 2022 Turn over3 Dinosaurs first appeared on Earth 2 4. 108# years ago.Dinosaurs became extinct on Earth 7 107# years ago.(a) Explain why it is appropriate to use standard form for these numbers.................................................................................................................................................................................................................................................................................................................................................................................................................................................... [1](b) Use the given information to work out how long dinosaurs existed on Earth.Give your answer in standard form.(b) .......................................................... [3]6© OCR 20224 (a) Complete this statement by writing the missing power in the box.784 = 2 # 72 [1](b) Use your answer to part (a) to find the value of 784.(b) .......................................................... [2]7© OCR 2022 Turn over5 Recipes measure small quantities in teaspoons and tablespoons.3 teaspoons is equivalent to 1 tablespoon.A cake recipe uses 43of a teaspoon of salt and 1 tablespoon of baking powder.The ratio of salt to baking powder used in the recipe can be written in the form 1 : n.Find the value of n.n = .................................................... [3]8© OCR 20226 Morgan is playing a computer game.They can score 0, 1, 2 or 3 points on each turn.They record their scores for 100 turns.The table shows the relative frequencies of their scores.Score 0 1 2 3Relative frequency 0.08 0.42 0.38(a) Complete the table. [2](b) Morgan saysI scored more than 160 points in total in my 100 turns.Is Morgan correct?Show how you decide.............................................................................................................................................. [4]9© OCR 2022 Turn over7 (a) A car accelerates at 4.06 m/s2 for 10.1 seconds from an initial velocity of 2.93 m/s.Harper rounds each value to 1 significant figure.Harper uses the rounded values and the formulas ut at21= +2to estimate the distance travelled in the 10.1 seconds.Harper’s answer is 430 metres.Using Harper’s method, show that their answer is wrong. [4](b) Rearrange this formula to make t the subject.s at21 = 2(b) .......................................................... [3]10© OCR 20228 A bag only contains red marbles, blue marbles and yellow marbles.• The probability of picking a red marble is 52.• There are nine yellow marbles.• The probability of picking a blue marble is three times as likely as picking a yellow marble.Work out the total number of marbles in the bag.You must show your working........................................................... [5]11© OCR 2022 Turn over9 The diagram shows the scale drawing of a sandpit, ABCD.It also shows the arc of all points in the sandpit that are 80 cm from corner A.ADBCScale: 1cm represents 20 cmA game is played by throwing a ball into the sandpit.Points may be scored when the ball lands in the sandpit.• 1 point if the ball lands within 80 cm of corner A,and• 1 point if the ball is closer to side AB than side AD,and• 1 point if the ball is closer to corner A than corner B.By completing the construction, find and shade the regions where 2 points can be scored.Show all your construction lines. [6]12© OCR 202210 (a) Enlarge triangle A with scale factor 1.5 and centre of enlargement (-8, 0).-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8xy12A345678-6-5-8-7-4-3-2-1[3]13© OCR 2022 Turn over(b) Triangle A and triangle B are shown on the coordinate grid below.-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8xy12AB345678-6-5-8-7-4-3-2-1Triangle A is mapped onto triangle B using a combination of two transformations:• a transformation T, followed by• a reflection in the x-axis.Describe fully transformation T................................................................................................................................................................................................................................................................................................. [4]14© OCR 202211 y is inversely proportional to x2.y = 9 when x = 2.Find the value of y when x = 10.y = .................................................... [3]15© OCR 2022 Turn over12 An athlete goes for a training run.The graph shows their speed as they run.40 400 1000Time (secs)1200Speed(m/s)Not to scale(a) Write down the athlete’s acceleration between 400 seconds and 1000 seconds.(a) ................................................. m/s2 [1](b) Work out the athlete’s average speed, in m/s, during the 1200 s[Show More]

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### Is OCR maths GCSE hard? ›

OCR – **These exams are said to be the easiest however the grade boundaries are high**. Edexcel – This board has the toughest science questions alongside AQA but edexcel takes a slight upper hand here. Edexcel – The time limit of this exam is said to be difficult to cope with.

**Did the Edexcel maths paper get leaked 2022? ›**

Edexcel has said that **the papers they have seen are a hoax**. If another paper which was real was being circulated, you should tweet @PearsonEdexcel, if people haven't done so already.

**Is OCR paper 1 calculator? ›**

**At each tier there is one non-calculator exam**. We've placed this as the middle exam so that in their first exam students have the reassurance of having a calculator with them! For both tiers (Foundation and Higher) we ease students into the paper by starting with lower demand questions.

**How many times can you fail maths GCSE? ›**

**There is no limit to the number of times you can retake your GCSEs**, nor is there an age limit for taking your GCSEs. However, it is a requirement to receive a minimum grade of 4 on the compulsory subjects: maths and English. You are required to retake your GCSEs as many times as needed to pass.

**What is the hardest GCSE 2022? ›**

1. GCSE Chemistry. 12.09% of the poll voted GCSE Chemistry as the hardest GCSE, putting it in 1st place for what students consider to be the hardest GCSE subjects. In 2022, 92.8% of students achieved a grade C/ 4 or above.

**Is OCR the hardest exam board? ›**

OCR is the easiest exam board for both GCSE English Literature and English Language. Looking at the minimum mark required to achieve a grade 9 in GCSE English Literature, it is easiest to achieve a grade 9 under OCR, and hardest to achieve a grade 9 under WJEC Eduqas.

**Why is OCR so hard? ›**

Complex documents. **Pages with a lot of design features — including elements as simple as colored backgrounds — can make it difficult for OCRs to recognize characters**.

**What is the hardest A level? ›**

**Top 10 Hardest A-Levels (2023)**

- 1 - Further Maths.
- 2 - Physics.
- 3 - Chemistry.
- 4 - Biology.
- 5 - Maths.
- 6 - English Literature.
- 7 - History.
- 8 - Economics.

**What is the hardest GCSE maths exam board? ›**

- This is from personal experience - IGCSE is probably the hardest. The reason why? ...
- Others argue that AQA and EDEXCEL are hard because of the new GCSE (9–1) and the amount of new content avalible.
- Its really subjective - but i would say IGCSE.
- Thanks for requesting this answer!

**How many marks needed to pass GCSE maths 2022? ›**

Pupils will have needed **a 4 for a "standard pass" and 5 for a "strong pass"**. This means that a candidate who gets nine grade-4s has, technically, passed all their exams. However, the government's school league tables are based on the percentage of pupils who achieve a 5 or above in English and maths GCSEs.

### What percentage is a pass in GCSE maths 2022? ›

In Summer 2022 GCSE students in the United Kingdom had a pass rate (achieving a grade of C/4 or higher) of **73.2 percent**, the lowest since 2019 but still a noticeable increase when compared with years prior to 2020.

**Is TI 84 allowed on a level? ›**

Can we use the Ti 84+ in A Level Exams, or do I have to get a different (more basic) calculator? If so, are standard/scientific view casio calculators allowed? **You're allowed to use it, yes**.

**Can you use a graphing calculator in a level maths exam? ›**

Graphical calculators can be used in exams if they have the relevant functions (check these if you have an older models) and meet the standard requirements (they don't have computer algebra software, ways to communicate etc.), but they are not necessary for the exams.

**How many papers are there in GCSE maths? ›**

How many exams are there? **Three**. All the papers are 90 minutes, and worth 80 marks each.

**How many people fail math? ›**

According to the most recent data, **71 percent of high school students failed geometry exams in June**, and 68 percent flunked Algebra 1 finals. Exam failure rates for honors-level math courses were lower but still significant: 32 percent for geometry and 28 percent for Algebra 2.

**What happens if you fail 1 GCSE? ›**

If you do not pass a GCSE exam, **you will typically have the opportunity to retake the exam during the next exam period**. You can also retake individual subjects or retake the entire suite of exams, depending on your individual situation and goals.

**What to do if you fail math? ›**

**4 Ways to Get Grades Up When Failing Math**

- Get Grades Up-Suggestions. Look at the Numbers.
- Let's take this common situation as an example:
- Talk to the Teacher.
- Make Requests.
- Beef Up Basic Skills.

**What is the most picked GCSE? ›**

**Outside of these compulsory GCSEs of maths and English language, the most popular GCSE subjects in the UK are:**

- GCSE French (And Other Modern Languages).
- GCSE Geography.
- GCSE Art.
- GCSE History.
- GCSE Design and Technology (DT).
- GCSE Additional and Combined Science.
- GCSE Science.
- GCSE English Literature.

**What is the most failed GCSE subject? ›**

The hardest GCSE in 2023 is **Film Studies**. Nationwide it only scored a 0.46 E:F ratio. This means you are over twice as likely to fail as you are to score an 8 or 9 on your Film Studies GCSE.

**What is the lowest GCSE grade ever? ›**

The reformed GCSE qualifications will be awarded on a grade scale of 9 (the highest grade) to **1** (the lowest).

### Which is the toughest exam in the world by USA? ›

Examination | Country | No. of candidates (yearly) |
---|---|---|

GRE | USA & Canada | 700,000/ yearly |

CFA | USA & Canada | 175,000 charterholders |

CCIE | USA | 8,000/ yearly |

GATE exam | India | 700,000 |

**What are the top 2 toughest exams? ›**

Recent Update: **IIT-JEE, UPSC CSE, and GATE** are among the world's most difficult exams. In the ranking, the IIT JEE test is ranked first in India and second in the globe.

**What is the world's hardest exam ever? ›**

**Top 10 Hardest Exams in the World**

- Gaokao Exam in China.
- IIT JEE Advanced.
- Civil Services Exam (CSE)
- GATE.
- GRE.
- Master Sommelier Diploma Exam.
- ICAI CA Exams.
- CCIE (Cisco Certified Internetwork Expert)

**Is OCR 100% accurate? ›**

The best conventional OCR software products achieve about **98% average accuracy** recognizing text on typical quality document images.

**What exam board is most similar to OCR? ›**

The standard between OCR A Levels and **Cambridge International A Levels** is the same, as Cambridge qualifications are aligned with OCR (our sister organisation and a leading UK exam board).

**What is the hardest subjects? ›**

**Chemistry** is famous for being one of the hardest subjects ever, so it's no surprise that a Chemistry degree is fiercely challenging. Just one topic in Chemistry (for example, organic chemistry) is incredibly complex.

**Is GCSE math harder than SAT math? ›**

**SAT subject tests are harder than GCSE tests** because they're used to get into American universities and colleges. However, many argue that the SATs are too easy because they're only one hour long and made up of multiple-choice questions.

**What is the most complicated maths question in the world? ›**

**Goldbach's Conjecture**

Goldbach's Conjecture is, “Every even number (greater than two) is the sum of two primes.” You check this in your head for small numbers: 18 is 13+5, and 42 is 23+19. Computers have checked the Conjecture for numbers up to some magnitude.

**What is the biggest maths exam in the world? ›**

The **William Lowell Putnam Mathematical Competition** is the preeminent mathematics competition for undergraduate college… The questions in the competition require some great levels of cleverness and critical thinking. They are specific and so require optimum mathematical knowledge and logical imagination.

**What grade is a fail in GCSE? ›**

What is a Fail in GCSE? **Anything below a 4** is a fail under the UK grading system, with U standing for 'ungraded', which was the same in the previous system.

### Is 70% a pass in GCSE Maths? ›

It is the minimum mark at which a numbered grade (from 9 to 1) can be achieved. As an example, if the grade boundary for Grade 6 is 70 marks, **70 would be the minimum mark required in order to get a Grade 6**. So 70 would be a Grade 6, but 69 would be a Grade 5.

**Is it easier to get a 5 in foundation or higher? ›**

**The foundation paper caps grades at Grade 5**. The higher paper has a minimum grade of Grade 4, with anything under that becoming ungraded. There is more content to learn in the higher papers, that if you have been set a foundation class for years, will be difficult (but not impossible) to learn in Year 11.

**What grade is 75% in GCSE maths? ›**

According to this illustration, grade 4 requires 56 - 66 per cent, **grade 5** requires 67 - 77 per cent and grade 6 requires 78 - 88 per cent.

**Is 50% a pass in GCSE? ›**

**In order to pass any GCSE, students will need to get a grade C/ 4 or above**. To learn more about this, check out this article by Think Student.

...

What is the Pass Mark For GCSE English?

Exam board | GCSE English Language pass mark | GCSE English Literature pass mark |
---|---|---|

AQA | 70 | 50 (NM) or 49 (PM) or 48 (PN) |

Pearson Edexcel | 77 or 68 (2.0) | 51 |

OCR | 67 | 39 |

**Is a 9 in GCSE 90%? ›**

Setting grade standards for GCSEs

A formula is used which means that **around 20% of all grades at 7 or above will be a grade 9**. The grade 8 boundary will be equally spaced between the grade 7 and grade 9 boundaries.

**Is TI-84 Plus allowed on SAT? ›**

That being said, we recommend using a graphing calculator on the SAT, assuming that you have access to one and know how to use it. **The graphing calculators we find most common for the SAT are the TI-84 and the TI-Nspire, but other brands work just as well.**

**Is TI-84 banned for ACT? ›**

In other words, **all versions of TI-84 Plus and TI-Nspire™ CX (excluding CAS) graphing calculators are allowed on the ACT® exam**.

**What grade do you learn graphing in algebra? ›**

**6th-8th Grade** Math: Graphing Functions - Chapter Summary.

**In which grade do you need a graphing calculator? ›**

Beginning with **first-year algebra**, it's appropriate to start using a graphing calculator, even though it is rarely required. Concepts such as basic function graphing, polynomials, quadratics, and inequalities are better visualized when students can both write out the equations and use an electronic input.

**How many marks do you need to pass GCSE maths? ›**

...

How many marks is it to pass GCSE Maths higher?

GCSE Maths exam board | Higher paper minimum pass mark |
---|---|

Pearson Edexcel | 71 marks out of 240 |

OCR | 45 marks out of 300 |

### What is the pass rate for GCSE maths? ›

16-18 year olds | 2022 | 2021 |
---|---|---|

GCSE maths | 15.2% | 34.5% |

**What is the easiest exam board for GCSE? ›**

It is difficult to determine an overall easiest exam board for GCSEs as it may vary depending on the subject. However, some sources suggest that **Edexcel iGCSE** is considered the easiest board to take English Language and Literature under.

**Did GCSE maths paper get leaked? ›**

**Back in 2019, GCSE students took to the social media pages of Pearson Edexcel after claiming that their GCSE Maths paper was leaked online before they sat it**. Students said it gave those with prior access to the exam paper an unfair advantage. The leaked paper was similar to the actual exam sat by candidates.

**Did the Edexcel maths paper get leaked? ›**

Exam board **Edexcel has launched an investigation into how part of an A-level maths paper was leaked online**. Blacked-out images of two questions were shared on social media on Thursday afternoon.

**Did Edexcel GCSE maths get leaked? ›**

We are investigating reports that **content from one of our GCSE Maths papers was shared on a social media platform shortly before the exam on Friday 20 May**. We want to reassure students that there will be no requirement to resit this paper and that they should focus on moving forward and preparing for their next exam.

**What happens if a GCSE question gets leaked? ›**

The first involves **the exam board finding all of the students who had seen the leaked paper prior to the exam and disqualifying them**. If they do, those students will also be disqualified from all papers that they sit, run by this particular exam board. And, perhaps, all of the GCSEs in total.

**What percentage of a GCSE paper is a pass? ›**

GCSE results 2017: Exam boards defend maths paper where **18 per cent** equals a pass. A “pass” or a grade 4 in GCSE maths this year would have been achieved with 18 per cent of the overall marks in the higher tier paper, exams regulator Ofqual has said.

**What happens if you fail GCSE maths? ›**

Yes, **you can resit your GCSE exams the following year if you fail them**. If you do not pass a GCSE exam, you will typically have the opportunity to retake the exam during the next exam period. You can also retake individual subjects or retake the entire suite of exams, depending on your individual situation and goals.

**What happens if you get 100% in a GCSE paper? ›**

Obviously getting 100% or **all the available marks will indeed get the 9**! The school do get the marks breakdown of each paper sat and know where the boundaries lie so that they can send papers very close to the boundaries for a remark.

**What are the toughest exams in the world for maths? ›**

**The William Lowell Putnam Mathematical Competition**, known to many as the World's Hardest Math Competition, is a prestigious mathematics competition for undergraduate college students in the United States and Canada.

### What is the hardest maths paper GCSE? ›

**Histograms** are one of the hardest topics in maths, particularly when it comes to finding the mean, interquartile range and estimating for some value.

**Is Edexcel harder than Cambridge? ›**

Both Cambridge and Edexcel are highly-regarded high school qualifications that are universally accepted by prestigious universities. **Traditionally, CIE is considered to be harder**, the main reason is due to the structured- high-order questions that are presented in your papers.

**Why is Edexcel easier than Cambridge? ›**

The key difference between Edexcel and Cambridge A Levels is that **in Edexcel there is only one set of question papers, which means both difficult and easy questions are in one paper except mathematics**, while Cambridge A Levels is a tiered examination system where there is a foundation level and higher levels.

**What is the most popular exam board for GCSE maths? ›**

**AQA (Assessment and Qualifications Alliance)** is one of the main examination boards in England and currently accounts for more than half of the GCSE and A-level qualifications taken and marked in the UK each year.

**What happens if you swear in your GCSE? ›**

Students who write obscenities in their GCSE English exams **can still be awarded marks**, a chief examiner has admitted. One pupil, who wrote “f*** off” on an examination paper, was given two points for spelling it correctly, and conveying a meaning.

**What happens if you cheat in a GCSE exam? ›**

Attempting to communicate with other candidates (turning around, looking across at other candidates etc). PENALTIES FOR CHEATING CAN INCLUDE **DISQUALIFICATION FROM TAKING ANY EXAM FOR UP TO FIVE YEARS**. You must do any rough work in the answer booklet provided. Cross out anything that you do not wish to be marked.

**What happens if you throw up in a GCSE exam? ›**

What Happens If You are Sick on GCSE Exam Day? If you are sick on the day of a GCSE exam, it is important to contact your school or college as soon as possible. **You will require a medical certificate in order to be eligible to reschedule the exam**.