math jc papers

Exam Papers Junior Cycle

Junior cycle - past exam papers.

We’ve put the links for all official  Project Maths (current syllabus) past maths exam papers on this page. We provide links to Leaving Cert Maths Exam Papers, Junior Cert Maths exam Papers as well.

We have not included old exam papers which focused purely on the old syllabus. If you would like to see these, you can get them on examinations.ie, but watch out for material that is no longer on the syllabus.

We’ve got all the Junior Cycle Marking Schemes (Exam Solutions) on one page too!

Check out our online support system for jc & lc maths, about past exam papers.

The Official Exam Papers provided above are an essential learning resource when you are preparing for your Maths Leaving Certificate or Junior Cycle Exam (JC Exam).

Past exam papers provided are official State Examinations Commission (SEC) schemes from previous years, which are also published on their website.  Unfortunately, the navigation on the site is not very user-friendly, so many students purchase these in booklet form from various publishers.

We’ve brought all the relevant past exam papers together on one page to make it more convenient for students to access them.  We’ve included all available exam papers since the new “Project Maths” syllabus was introduced.  This includes sample papers provided by the NCCA (National Council for Curriculum and Assessment) for Leaving Cert, Junior Cert Maths Exam Papers, and the new Junior Cycle exams.

There are many benefits to using past exam papers for revision.

• Become familiar with the exam paper structure You need to become aware of how the paper is laid out, how many questions are included, and whether you have a choice of questions or not.
• Get a realistic view of how you will be tested It’s great to see the style of the question and the level of difficulty for the various parts of the question.
• Practice your math skills Every time you attempt a question you are building up your mathematical skills.
• Hone your problem-solving skills It’s not enough to be aware of the concepts of mathematics.  You also need to be able to utilise those skills to solve problems in different contexts.  Some of the problems may be relatively simple, while others are longer, more complex, and involve more interpretation.  Past exam papers give you some great examples to use for practice.
• Get used to the language used and the style of questions Every maths textbook has a slightly different style, but ultimately you will be graded based on official exam papers.  It’s very helpful to get used to the kind of wording that is used, and the typical question style that examiners use.
• Understand mark allocations For Leaving Cert maths, the marks allocated per question are shown on the exam paper.  It’s great to be aware of the allocation of marks for Section A and Section B, and for individual questions.  Note that this has changed for 2021, and may change again in 2022.  Understanding what to expect removes the element of surprise.For Junior Cycle (JC) students, the mark allocation is not shown on the Junior Cert Maths exam Papers, so you should simply be aware that there is only one exam paper ongoing, and that suggested timings are shown for each question.
• Practice all aspects of good exam technique Whether you practice a single question or an entire paper, you can simulate exam conditions and practice good exam technique.  In doing so, you will begin to create positive habits that you will bring into your exam, which can have a very positive effect on your overall performance and grade.
• Remove the fear of the unknown Sometimes students avoid maths exam papers as they are anxious or fearful of what they contain.  It’s much better to face that fear, and become used to dealing with past mathematical exam papers questions and sample exam questions. For past exam questions, the marking schemes are available, which show you how to answer the questions, and in many cases we have a video solution available as well. For sample exam questions, we’ve created model solutions that you can explore. Once you become more familiar with past exam questions and papers, you can build up your confidence ahead of your exams.
• Make some mistakes now and learn from them We all learn from our mistakes, and it is much better to make those mistakes now instead of in the exams.  Unlike textbook problems, the past exam papers have worked solutions that you can refer to.  So it’s a great idea to try out exam questions, give them your best shot, and then check against the marking schemes or model solutions.  If you’ve made a mistake, this is a perfect learning opportunity.  You can revise this part, and try again.  By testing yourself now, you will discover your areas of weakness and you can take steps to improve.

Many students are nervous about trying out past maths exam papers.  However, the sooner you face your fears and begin to use past papers, the better.

As soon as you have covered a particular part of the course, you should be in a position to try some exam questions.  You can treat this as a “low-stakes” practice run, with nothing to lose and a lot to gain.  Familiarity will reduce your nerves, and give you confidence.

Your teacher will typically begin to give you past exam questions as part of your homework as soon as they feel you are ready.

As you go through 3rd year or 6th year, you will typically start to do more and more past exam questions, in preparation for your mock (“pre”) exams, and in preparation for your Junior Cycle (Junior Cert) and Leaving Cert exams.

You can use past maths exam papers to test yourself in one area of maths, such as trigonometry, or to try out more complex questions which involve material from several areas of maths.

You can try one question at a time, or you might decide to attempt a full paper under timed conditions.

It’s always a good idea to simulate exam conditions so that you are really testing your knowledge and skills.  So try not to peek at your textbook or notes until you have given it your best attempt.  Then, check your answers against the official marking scheme or model answer.  If you got it right, well done!  If not, try to see where you went wrong, and learn from this.  If you find that you can’t understand the solution given, check our video lessons where our teachers show and explain how to answer the question.  Make sure you understand the theory and method before moving on.  This is a very valuable way to address any gaps in your knowledge and skills.

Be careful when using past papers, as the structure may have changed, whether at Leaving Cert or Junior Cert Maths Exam Papers (Junior Cycle).  As long as you are aware of the changes, you can still use past papers as good practice material.

[Note:  information correct at the time of writing.  This may change again due to COVID19, so please check back during the year for the latest information.]

Yes, there have been changes to the exam papers over the years, in particular from 2010 onwards, and also from 2021 onwards.

We recommend that you use the exam papers above which include the “Project Maths” style papers which started to roll out in 2010.  Pre-“Project Maths” papers are not recommended as the content, layout and marking schemes were different.

2022 Leaving Certificate exam includes an element of choice, and a different breakdown of marks, due to lost learning because of the COVID-19 pandemic.

Leaving Cert Maths Exam Papers 1 and 2 still have a duration of 2.5 hours each.

There are two sections on this paper:

In 2022, section A, Concepts and Skills is worth a total of 150 marks.  You will be required to answer 5 out of 6 questions.

In 2022, section B, Contexts and Applications is worth a total of 150 marks, the same as section A. You are required to answer 3 out of 4 questions.

For the new Junior Cycle, please note that the exam structure is different from that of the traditional Junior Certificate Maths Exam Papers.  There will now be one paper only, of 2 hours duration, with no element of choice.

Past exam papers and model exam papers are an essential part of learning, revision, and exam preparation for Leaving Cert and Junior Cycle (Junior Cert) students.

Students who make good use of past exam papers can expect to improve their maths and problem-solving skills, have better exam techniques, and to feel more confident when sitting their exams.

Mathematics

This subject is very varied so a good understanding of all of the parts of the course is key!

Remember in the exam that attempt marks are given for any step in the right direction, so attempt every part of the questions you do and make sure to show all your workings.

As the Project Maths course is relativily recent there are only a limited number of past papers available. Many of the Project Maths papers released are sample papers or pilot school papers and therefore marking schemes are not always available.

Course Content

• Algebra - Equations Formed from Words
• Algebra - Expressions
• Algebra - Solving Equations
• Algebra Inequalities
• Area & Volume
• Co-ordinate Geometry
• Constructions
• Counting/Permutations
• Financial Maths
• Number Systems
• Probability
• Speed, Distance Time, Real Life Graphs
• Transformation Geometry
• Trigonometry
• Written Exam
• 2 Classroom-Based Assessments (CBA's)

Assessment Task

The final exam is worth 90% of overall marks. Students may take the exam at Higher or Ordinary level. The paper is 2 hours long.

Classroom-Based Assessments

Students must complete 2 CBA's. CBA 1 is titled 'Mathematical Investigation & Report' and CBA 2 is titled 'Statistical Investigation & Report'. For CBA 1, students will follow the Problem Solving Cycle to investigate a mathematical problem. For CBA 2, students will follow the Statistical enquiry cycle to explore and anaylse data using appropriate displays and numerical summaries. 

This is a written task based on CBA 2 and is worth 10% of overall marks. 

Any tips for doing well in Junior Cycle Maths?

Practice, practice, practice. Of all subjects, Maths is the one you need to constantly be practicing to do well. Pick a topic, study it, print out some questions, try them and check your answer against the marking scheme. Pay attention to the details and try to avoid basic errors. Make sure you know how to use your calculator and always show your workings in answers as attempt marks will often pass you a question. 

Future Careers

Mathematical skills are useful for career sectors such as Accountancy, Banking, Financial Services, Physics and Space Science.

Download the Junior Cycle Maths Specification

Download the  Junior Cycle Chief Examiner's Report  (2015)

Download the Junior Cycle Mathematics Assessment Guidelines

Past Papers

Boost your marks in Maths

• Bite-sized videos for rapid revision
• Created by some of the best teachers in Ireland
• Interactive study notes and exam advice

Pick a topic to the left and click on 'Videos & Notes' to check it out

Community Activity

Junior Certificate

2017 JC Higher Level Exam Solutions

Q 4 and 5

Q 8 and 9

Q 10 and 11

Q 12 and 13

Q 14 and 15

Q 1 and 2

Q 3 and 4

Q 5 and 6

Q 7 and 8

-------------------------------------------------------------------------------------------------

2018 JC Higher Level Exam Solutions

Q 9 and 10

Q 11 and 12

Q 13 and 14

2019 JC Higher Level Exam Solutions

Q 7, 8 and 9

Q 10, 11 and 12

Q 13 and 14

2022 JC Higher Level Exam Solutions

Q 5, 6 and 7

Q 10, 11 and 12

2023 JC Higher Level Exam Solutions

• 2024 FREE TEST PAPERS
• Junior College
• 2021 JC Prelim Papers
• 2021 JC2 H2 Maths Prelim Exam Papers

Free Test Papers

Secondary Prelim Papers 2021 [ Sec 1 Maths | Sec 1 Science | Sec 1 Normal Science | Sec 2 Maths | Sec 2 Science | Sec 3 A Maths | Sec 3 E Maths | Sec 3 English | Sec 3 Chemistry | Sec 3 Physics | Sec 4 A Maths | Sec 4 E Maths | Sec 4 English | Sec 4 English Literature | Sec 4 Chinese | Sec 4 Higher Chinese | Sec 4 History | Sec 4 Geography | Sec 4 Pure Biology | Sec 4 Pure Chemistry | Sec 4 Pure Physics | Sec 4 Combine Science | Sec 4 Science Chemistry | Sec 4 Normal Chemistry | Sec 4 Science Physics | Sec 4 Social Studies || Secondary 2020 | Secondary 2019 | Secondary 2018 ]

JC Prelim Papers 2021 [ JC1 Maths H2 | General Paper | Biology H1 | Biology H2 | Chemistry H1 | Chemistry H2 | Economics H1 | Economics H2 | Geography H1 | Maths H1 | Maths H2 | Physics H1 | Physics H2 || JC Prelims 2019 | JC Prelims 2018 | JC Prelims 2017 ]

• SMF 2.0.19 | SMF © 2021 , Simple Machines
• Sitemap XML

2022 SAJC JC2 H1 Mathematics

Announcement.

(Do note that only the most recent announcements will be shown)

19/10 - MORE 2022 other JC prelim papers can be found under "Revision Packages"

19 /10 - 19th October Timed Practice solutions can be found under "Test and Exam Papers"

6/10 - A level Revision Package solutions and other JC prelim papers can be found under "Revision Packages"

3/10 - 3rd October Timed Practice solutions can be found under "Test and Exam Papers"

ADMINiSTRATIVE MATTERS

Prelim Information

HBL (19/4/2022)

Block Test information

WA information

CA Rubrics For Students

Introductory Slides

GC Sales Purchase schedule

Useful Links and Documents

H1 MATH SYLLABUSES EXAMINED IN 2022

Student Learning Space (SLS)

How to reset GC?

Learning Resources

2022 March Holiday Hypothesis Testing video

Topical Resources (Notes, Tutorials, Assignments, etc)

Tutorial and Assignment Videos

Test and Exam papers

Revision Packages

• MOE Updates
• Primary School
• English P1 Essay Resources
• English P2 Comprehension
• English P3 LC Resources
• English P4 Oral Resources
• Singapore News
• Free Test Papers
• Model Essays
• Early Concepts
• Fun with Mandarin
• Malay Language Worksheets
• Math Mastery
• Chinese Audio Books
• English Audio Books
• International Baccalaureate (IB) Primary Years Programme (PYP)
• School Placement Exercise for Returning Singaporeans-Secondary (SPERS-Sec)
• All you need to know about the SPERS exam for returning Singaporeans
• Admissions Exercise for International Students (AEIS)
• Singapore Best Online Tuition
• Find a Tutor
• Tuition Rates
• Tuition Centres
• 新加坡一对一补习 – AEIS, GP Tuition Testimonials
• Sign up as a Tutor
• Member Registration

The Learning Space

Share this:

Free Exam Papers and Study Notes

Every student should be given the opportunity to maximize their educational potential. Looking for professional tutors? Get help from our team of MOE, NIE trained teachers and full time tutors. Looking for free study notes and resources? We provide the latest test papers and quality study notes for Primary, Secondary, IGCSE, IB, JC students. Subscribe to our Youtube Channel and exclusive access to PSLE, O’levels, A’Levels materials. WhatsApp us today,

新加玻补习老师， 试卷和学习笔记

寻找 专业导师，补习老师？我们的 MOE、NIE 培训教师和全职导师团队可以帮助您的孩子补习英文。要上英文网课？那里有最好的IB英文老师补习？寻找免费的学习笔记和资源？ 我们为AEIS，小学、中学、IGCSE、IB、JC学生提供最新的试卷和优质的学习笔记。 订阅我们的 Youtube 频道 并独家访问 PSLE、O’levels、A’Levels 材料。今天就 WhatsApp 我们。

H2 math tuition specialists | Supergrades

A Level H2 Maths tutoring specialists

Free H2 Math JC Past Prelim Papers

Download our past year H2 Math JC prelim past papers for Free! We have free exam papers from top JCs such as Raffles Institution, Dunman High School and Many more!

Dunman High School H2 Math_Prelim2015_P1

DHS_Prelim2015_P1Sol

DHS_Prelim2015_P2

DHS_Prelim2015_P2Sol

CJC_Prelim2015_P1

CJC_Prelim2015_P1Sol

CJC_Prelim2015_P2

CJC_Prelim2015P2Sol

• ← Changes to JC H2 Math Syllabus
• H2 Math Learning Loss →

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Enter Captcha Here : *

• H2 Math Tuition
• IP Math, A-Math Tuition
• Crash Courses
• Testimonials
• Methodology
• Exam Paper Video Solutions

EJC 2020 H2 Math JC1 Promo Exam Paper

• Question Paper

• Share full article

Advertisement

Supported by

He Expresses Himself Through Art. She Through Math.

Alexandra Plzak and Sharif Farrag met in college and had very little in common on paper. But you know what they say about opposites.

By Alyson Krueger

The last weekend of February, Sharif Hussein Farrag, a ceramic artist, raced colorful clay rats that he sculpted and placed on motorized vehicles around a sports field outside the Santa Monica Airport.

The performative art piece was part of Frieze Los Angeles, a weekend-long contemporary art show, and Mr. Farrag, dressed in a white racing suit and waving a black and white checkered racing flag, explained to the steady stream of art critics, artists, collectors and spectators that it symbolized the “rat race” of capitalism.

“It was a lot of attention,” said Mr. Farrag, 30, who is currently represented by François Ghebaly, a gallery in Los Angeles, but was doing this piece for the Art Production Fund, which supports public art projects across the country. “I was on display with my art.”

But that was just the beginning of a whirlwind week.

A week later, on March 9, he was at the Eden Garden Bar and Grill, a restaurant in Pasadena, Calif., marrying Alexandra Ann Plzak, 27, his girlfriend since college.

“I went right from this crazy week for my career into this week where all my friends were like, ‘My homie is getting married,’’ he said.

The timing of the wedding was deliberate. “Having it near Frieze meant some of my art friends could stay in town an extra couple of days and join,” Mr. Farrag said.

From the beginning, the couple has always found a way to merge work with love. “This is a repeated thing in our relationship,” said Ms. Plzak, who also has a demanding job as a financial analyst for DAOU Vineyards of Paso Robles, Calif. “There are so many times he is working with clay or doing a show, and I am hanging out or working and doing math or Excel finance five feet away from him for 10 hourlong periods.”

“Everything Sharif sets out to do and be a part of, Alexandra, from what I can see, is there supporting him and behind him and holding it down,” said Chase Hall, a multimedia artist who is friends with Mr. Farrag and attended Frieze and the wedding.

The couple met at a party at the University of Southern California in 2016. Mr. Farrag had just transferred to U.S.C. from Santa Monica College to get a B.F.A. in art (he later got an M.F.A. from U.C.L.A.). Ms. Plzak was studying math and economics.

They ran into each other a few times at other parties before Ms. Plzak invited Mr. Farrag back to her house during one. “We just sat on the couch in the living room and watched that Anthony Bourdain show, ‘Kitchen Confidential,’” she said. “It was kind of intimate.”

“In my college head I was like, ‘I am leaving a party to do this wholesome thing,’” Mr. Farrag said. “I kind of knew at that moment this girl was special.”

A few months later, after multiple hangouts, Ms. Plzak invited Mr. Farrag over to her house once again, this time for shrimp scampi. “That night he asked me to be his girlfriend,” she said. “We hadn’t even kissed.”

“I was just going for it,” Mr. Farrag said. “I really wanted to be with her.”

They had some fun moments in college, like when Mr. Farrag would put Ms. Plzak in a milk crate attached to his bike and take her to Pasta Roma, a buffet-style Italian restaurant. “He bikes like he is driving a car,” meaning fast, she said, laughing, “so I had to hold on.”

But they also worked hard. They spent many late nights in the ceramics studio with Mr. Farrag sculpting and Ms. Plzak crunching numbers on her laptop. “I would look at her computer, and it would be all these formulas and all these numbers, and I respected it so much,” he said. “To me, that was crazy stuff.”

Sometimes Ms. Plzak would get involved in the art. As Mr. Farrag was finishing up his bachelor’s degree, he had a thesis show to which he invited all the galleries he wanted to work with in Los Angeles. The duo spent 72 hours preparing for the show, which explored Mr. Farrag’s family heritage (his father is from Cairo and his mother is from Homs, Syria). “He did these beautiful two-tone hand drawings on the wall,” she said. “I actually painted the ceiling because he is sort of afraid of heights.”

They realized quickly that their divergent interests worked well together.

“They really do complement each other well,” said Beth Plzak, the bride’s mother, who lives in Vail, Colo. “He is an artist, and she is financial, so they have a completely different way of approaching things, but it works,” she said. “My daughter is appreciative of art and passion, and he is so appreciative of someone who can keep track of everything.”

The couple dated steadily for the next three years, even as Mr. Farrag traveled the world doing shows and Ms. Plzak moved to Paso Robles to work for Justin winery, about a four-hour drive away from Los Angeles, where he was living. “I was just living in the bedrooms of people’s houses and focused on working, so it was a good time to be long distance,” Mr. Farrag said.

Ms. Plzak agreed the physical distance helped her master her career. “Corporate finance is already a demanding job, and wine is a super complicated industry because wine has to be aged so you are working with five, six, seven-year financial plans,” she said. “Also, because it’s alcohol and every state gets to make its own laws about how wine gets sold, you can’t just know how it works in the United States. You have to know how it works in every state, every market.”

At the start of the pandemic, they moved in together in Los Angeles, and adopted a miniature pinscher Chihuahua named Miss Sprinkles.

In March 2023, Mr. Farrag popped the question during a dinner at his parents’ house that Ms. Plzak’s parents, who were visiting Los Angeles, also attended.

“My dad looked at me and said, ‘Don’t you have something you want to say?’” Mr. Farrag said. “I stepped in and said to Alexandra’s parents, ‘I really want to marry your daughter.’ Then we both started crying.”

Ms. Plzak liked that the Eden Garden Bar and Grill, the wedding site, held meaning for both of them. As a couple, “we’ve gone there for dinner, we’ve gone there to smoke hookah,” she said.

But it also held a special place in Mr. Farrag’s family history. “We used to go there for family get-togethers like baby showers, breaking of the fast in Ramadan,” said his sister, Habah Farrag, 41.

Their professions aren’t the only way the couple differs. Ms. Plzak grew up in Chicago and Vail to parents born in the United States. She was raised Catholic. Mr. Farrag grew up in Los Angeles and is the son of Middle Eastern immigrants. He was raised Muslim.

The wedding merged elements of both of their backgrounds.

During the ceremony one of Mr. Farrag’s cousins led an Arada, a Syrian wedding tradition where he recites a prayer in Arabic and the congregation repeats it. “The whole crowd was chanting in response, and that was incredibly touching,” said Habah Farrag, Mr. Farrag’s sister.

Ms. Plzak had her father walk her into the ceremony, something that happens in Catholic weddings, but not Muslim weddings. “My dad met me in the women’s bathroom, because that is where I was located,” she said.

During the reception, the crowd hoisted the couple up on chairs, another Arada tradition, and everyone danced around them. “Sharif’s friends from childhood rushed to pick up his chair and Alexandra’s family held her chair,” Ms. Farrag said, adding that she didn’t think the couple’s “smiles couldn’t have been bigger.” The D.J. even brought out a tabla hand drum that some members of Mr. Farrag’s family played.

Many of the artists who were at Frieze, either as participants or spectators, cherished getting a chance to unwind after the hectic festival. “There were a lot of artists there who were part of Sharif’s cohort,” said Mr. Hall, the multimedia artist. “There were older artists he had learned from and mentored and younger artists who he engaged with while he was getting his M.F.A. But there was no market or money or financial talk. The wedding was a day when we showed up with nothing but love.”

“The response to my art, it felt amazing, but it was nothing compared to the week of my wedding,” Mr. Farrag said. “Just to see so many people in my life support the decisions I am making, it was pretty freaking cool.”

On This Day

When March 9, 2024

Where The Eden Garden Bar and Grill, Pasadena, Calif.

Marriage Certificate Copy Two days before the wedding Ms. Plzak’s car got broken into and someone stole their marriage license. “We went to the clerk’s office right after our joint bachelor party to get another one,” Mr. Farrag said. “Who would steal that? But we handled it quickly. It made me happy that we are prepared to handle anything.”

Cake from the Pizza Place “We get takeout from this place two blocks away from our home named Quarter Sheets Pizza, and they randomly have these amazing cakes, so we had the idea to get our cake from there,” Ms. Plzak said. “We chose the Princess Cake, our favorite.”

Champagne and Apple Cider Mr. Farrag’s family doesn’t drink, so they served apple cider alongside champagne at the wedding. “Usually only kids would have apple cider, but we had 75 percent of the people drinking it,” he said. “We had a blended wedding.”

Weddings Trends and Ideas

Reinventing a Mexican Tradition: Mariachi, a soundtrack for celebration in Mexico, offers a way for couples to honor their heritage  at their weddings.

Something Thrifted: Focused on recycled clothing , some brides are finding their wedding attire on vintage sites and at resale stores.

Brand Your Love Story: Some couples are going above and beyond to personalize their weddings, with bespoke party favors and custom experiences for guests .

Going to Great Lengths : Mega wedding cakes are momentous for reasons beyond their size — they are part of an emerging trend of extremely long cakes .

Popping the Question: Here are some of the sweetest, funniest and most heartwarming ways that c ouples who wed in 2023 asked, “Will you marry me? ”

Classic Wedding Traditions: Some time-honored customs have been reimagined  for modern brides and grooms seeking a touch of nostalgia with a contemporary twist.