gcse mathematics 1ma1 problem solving questions 1 foundation tier

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GCSE Maths: Problem Solving Foundation Questions

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

27 February 2024

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GCSE Maths Problem Solving Foundation Questions

This KS4 GCSE-Style Questions - Foundation Set 3 Question Set contains GCSE-Style questions that typically appear on foundation papers. There are a variety of topics and skills tested in order to prepare students for the GCSE exam. Registering for an LbQ account will give you access to the questions included in this resource and many 1,000s more. These 5 questions are a selection from a bigger Question Set of the same style, we also have a further 9 Foundation GCSE-Style Question Sets; they can be used as a teaching starter, plenary or activity for pupils. It is designed to provide teachers a taste of what our content is all about.

LbQ Maths Question Sets are based around the principles of mastery and have been developed by teachers and subject matter experts. Each Question Set targets a curriculum objective, though some objectives need more than one set, and has been guided by the White Rose Maths curriculum breakdown

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• Centre Services
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GCSE Mathematics

• Specification
• Planning resources
• Teaching resources

Assessment resources

• Answers and commentaries (1)
• Examiner reports (30)
• Mark schemes (32)
• Notes and guidance (3)
• Question papers (102)
• Paper 1 (52)
• Paper 2 (52)
• Paper 3 (51)
• June 2017 (16)
• June 2018 (15)
• June 2019 (10)
• June 2022 (24)
• June 2024 (3)
• November 2017 (12)
• November 2018 (15)
• November 2019 (9)
• November 2020 (15)
• November 2021 (17)
• November 2022 (22)
• November 2024 (3)
• Sample set (6)
• Higher (159)

Showing 168 results

Insert (Foundation): formulae sheet - for exams in 2024

Published 12 Jan 2024 | PDF | 255 KB

Insert (Modified A4 18pt) (Foundation): formulae sheet - for exams in 2024

Published 12 Jan 2024 | PDF | 589 KB

Insert (Modified A3 36pt) (Foundation): formulae sheet - for exams in 2024

Published 12 Jan 2024 | PDF | 622 KB

Insert (Foundation): formulae sheet - November 2022

Published 31 Oct 2023 | PDF | 212 KB

Insert (Modified A4 18pt) (Foundation): formulae sheet - November 2022

Published 31 Oct 2023 | PDF | 221 KB

Insert (Modified A3 36pt) (Foundation): formulae sheet - November 2022

Published 31 Oct 2023 | PDF | 226 KB

Question paper (Foundation): Paper 1 Non-calculator - November 2022

Published 31 Oct 2023 | PDF | 1.4 MB

Question paper (Modified A3 24pt) (Foundation): Paper 1 Non-calculator - November 2022

Published 31 Oct 2023 | PDF | 770 KB

Question paper (Modified A4 18pt) (Foundation): Paper 1 Non-calculator - November 2022

Published 31 Oct 2023 | PDF | 713 KB

Question paper (Modified A3 36pt) (Foundation): Paper 1 Non-calculator - November 2022

Published 31 Oct 2023 | PDF | 846 KB

Question paper (Modified A4 24pt) (Foundation): Paper 1 Non-calculator - November 2022

Published 31 Oct 2023 | PDF | 724 KB

Question paper (Foundation): Paper 3 Calculator - November 2022

Published 31 Oct 2023 | PDF | 2.2 MB

Question paper (Modified A3 24pt) (Foundation): Paper 3 Calculator - November 2022

Published 31 Oct 2023 | PDF | 1.3 MB

Question paper (Modified A4 18pt) (Foundation): Paper 3 Calculator - November 2022

Published 31 Oct 2023 | PDF | 1.1 MB

Question paper (Foundation): Paper 2 Calculator - November 2022

Published 31 Oct 2023 | PDF | 1.9 MB

Question paper (Modified A3 36pt) (Foundation): Paper 3 Calculator - November 2022

Published 31 Oct 2023 | PDF | 1.5 MB

Question paper (Modified A4 24pt) (Foundation): Paper 3 Calculator - November 2022

Question paper (Modified A4 18pt) (Foundation): Paper 2 Calculator - November 2022

Question paper (Modified A3 36pt) (Foundation): Paper 2 Calculator - November 2022

Published 31 Oct 2023 | PDF | 1.7 MB

Examiner report (Foundation): Paper 3 Calculator - November 2022

Published 31 Oct 2023 | PDF | 292 KB

AQA GCSE Maths Past Papers

AQA GCSE Maths (9-1)  (8300) past exam papers. If you are not sure what tier you are sitting foundation or higher check with your teacher. You can download the AQA maths GCSE past papers and marking schemes by clicking on the links below.

AQA GCSE Mathematics (8300) November 2022

Paper 1: Non-Calculator  8300/1F - Foundation Download Paper    -      Download Mark Scheme

Paper 1: Non-Calculator  8300/1H - Higher    Download Paper    -      Download Mark Scheme

Paper 2: Calculator  8300/2F - Foundation Download Paper      -      Download Mark Scheme

Paper 2: Calculator  8300/2H - Higher  Download Paper      -      Download Mark Scheme

Paper 3: Calculator  8300/3F - Foundation Download Paper      -      Download MarkScheme

Paper 3: Calculator  8300/3H - Higher  Download Paper      -      Download Mark Scheme  

AQA GCSE Mathematics (8300) June 2022

Paper 1: Non-Calculator  8300/1H - Higher  Download Paper      -      Download Mark Scheme

Paper 3: Calculator  8300/3F - Foundation Download Paper      -      Download MarkScheme

AQA GCSE Mathematics (8300) November 2021 (these papers are labelled as June 2021)

Paper 1: Non-Calculator  8300/1F - Foundation Download Paper     -      Download Mark Scheme

Paper 1: Non-Calculator  8300/1H - Higher  Download Paper      -      Download Mark Scheme

Paper 2: Calculator  8300/2F - Foundation Download Paper     -      Download Mark Scheme

Paper 2: Calculator  8300/2H - Higher  Download Paper      -      Download Mark Scheme

Paper 3: Calculator  8300/3F - Foundation Download Paper      -      Download MarkScheme

Paper 3: Calculator  8300/3H - Higher  Download Paper      -      Download Mark Scheme

AQA GCSE Mathematics (8300) November 2020 (these papers are labelled as June 2020)

Paper 1: Non-Calculator  8300/1F - Foundation Download Paper   -    Download Mark Scheme

Paper 1: Non-Calculator  8300/1H - Higher  Download Paper    -    Download Mark Scheme

Paper 2: Calculator  8300/2F - Foundation Download Paper    -    Download Mark Scheme

Paper 2: Calculator  8300/2H - Higher  Download Paper    -    Download Mark Scheme

Paper 3: Calculator  8300/3F - Foundation Download Paper    -    Download MarkScheme

Paper 3: Calculator  8300/3H - Higher  Download Paper    -    Download Mark Scheme

AQA GCSE Mathematics (8300) June 2019

Paper 3: Calculator  8300/3H - Higher  Download Paper    -    Download Mark Scheme  

AQA GCSE Mathematics (8300) November 2018

Paper 1: Non-Calculator  8300/1F - Foundation Download Paper    -    Download Mark Scheme

Paper 3: Calculator  8300/3F - Foundation Download Paper    -    Download Mark Scheme

AQA GCSE Mathematics (8300) June 2018

Paper 1: Non-Calculator  8300/1H - Higher   Download Paper    -    Download Mark Scheme

Paper 3: Calculator  8300/3H - Higher   Download Paper    -    Download Mark Scheme

AQA GCSE Mathematics (8300) November 2017

Paper 2: Calculator  8300/2F - Foundation  Download Paper   -    Download Mark Scheme

AQA GCSE Mathematics (8300) June 2017

Paper 1: Non-Calculator  8300/1F - Foundation  Download Paper    -    Download Mark Scheme

Paper 2: Calculator  8300/2H - Higher   Download Paper    -    Download Mark Scheme

AQA GCSE Mathematics (8300) Specimen Papers

Paper 2: Calculator  8300/2H - Higher  Download Paper    -   Download Mark Scheme

For more GCSE Maths past papers from other exam boards click here .

Ch. 9 The Development of Russia

Ivan i and the rise of moscow, learning objective.

• Outline the key points that helped Moscow become so powerful and how Ivan I accomplished these major victories
• Moscow was considered a small trading outpost under the principality of Vladimir-Suzdal into the 13th century.
• Power struggles and constant raids under the Mongol Empire’s Golden Horde caused once powerful cities, such as Kiev, to struggle financially and culturally.
• Ivan I utilized the relative calm and safety of the northern city of Moscow to entice a larger population and wealth to move there.
• Alliances between Golden Horde leaders and Ivan I saved Moscow from many of the raids and destruction of other centers, like Tver.

A rival city to Moscow that eventually lost favor under the Golden Horde.

Grand Prince of Vladimir

The title given to the ruler of this northern province, where Moscow was situated.

The Rise of Moscow

Moscow was only a small trading outpost in the principality of Vladimir-Suzdal in Kievan Rus’ before the invasion of Mongol forces during the 13th century. However, due to the unstable environment of the Golden Horde, and the deft leadership of Ivan I at a critical time during the 13th century, Moscow became a safe haven of prosperity during his reign. It also became the new seat of power of the Russian Orthodox Church.

Ivan I (also known as Ivan Kalita) was born around 1288 to the Prince of Moscow, Daniil Aleksandrovich. He was born during a time of devastation and upheaval in Rus’. Kiev had been overtaken by the invading Mongol forces in 1240, and most of the Rus’ principalities had been absorbed into the Golden Horde of the Mongol Empire by the time Ivan was born. He ascended to the seat of Prince of Moscow after the death of his father, and then the death of his older brother Yury.

Ivan I. He was born around 1288 and died in either 1340 or 1341, still holding the title of Grand Prince of Vladimir.

Ivan I stepped into a role that had already been expanded by his predecessors. Both his older brother and his father had captured nearby lands, including Kolomna and Mozhaisk. Yury had also made a successful alliance with the Mongol leader Uzbeg Khan and married his sister, securing more power and advantages within the hierarchy of the Golden Horde.

Ivan I continued the family tradition and petitioned the leaders of the Golden Horde to gain the seat of Grand Prince of Vladimir. His other three rivals, all princes of Tver, had previously been granted the title in prior years. However they were all subsequently deprived of the title and all three aspiring princes also eventually ended up murdered. Ivan I, on the other hand, garnered the title from Khan Muhammad Ozbeg in 1328. This new title, which he kept until his death around 1340, meant he could collect taxes from the Russian lands as a ruling prince and position his tiny city as a major player in the Vladimir region.

Moscow’s Rise

During this time of upheaval, the tiny outpost of Moscow had multiple advantages that repositioned this town and set it up for future prosperity under Ivan I. Three major contributing factors helped Ivan I relocate power to this area:

• It was situated in between other major principalities on the east and west so it was often protected from the more devastating invasions.
• This relative safety, compared to Tver and Ryazan, for example, started to bring in tax-paying citizens who wanted a safe place to build a home and earn a livelihood.
• Finally, Moscow was set up perfectly along the trade route from Novgorod to the Volga River, giving it an economic advantage from the start.

Ivan I also spurred on the growth of Moscow by actively recruiting people to move to the region. In addition, he bought the freedom of people who had been captured by the extensive Mongol raids. These recruits further bolstered the population of Moscow. Finally, he focused his attention on establishing peace and routing out thieves and raiding parties in the region, making for a safe and calm metaphorical island in a storm of unsettled political and military upsets.

Kievan Rus’ 1220-1240. This map illustrates the power dynamics at play during the 13th century shortly before Ivan I was born. Sarai, the capital of the Golden Horde, sat to the southeast, while Moscow (not visible on this map) was tucked up in the northern forests of Vladimir-Suzdal.

Ivan I knew that the peace of his region depended upon keeping up an alliance with the Golden Horde, which he did faithfully. Moscow’s increased wealth during this era also allowed him to loan money to neighboring principalities. These regions then became indebted to Moscow, bolstering its political and financial position.

In addition, a few neighboring cities and villages were subsumed into Moscow during the 1320s and 1330s, including Uglich, Belozero, and Galich. These shifts slowly transformed the tiny trading outpost into a bustling city center in the northern forests of what was once Kievan Rus’.

Russian Orthodox Church and The Center of Moscow

Ivan I committed some of Moscow’s new wealth to building a splendid city center and creating an iconic religious setting. He built stone churches in the center of Moscow with his newly gained wealth. Ivan I also tempted one of the most important religious leaders in Rus’, the Orthodox Metropolitan Peter, to the city of Moscow. Before the rule of the Golden Horde the original Russian Orthodox Church was based in Kiev. After years of devastation, Metropolitan Peter transferred the seat of power to Moscow where a new Renaissance of culture was blossoming. This perfectly timed transformation of Moscow coincided with the decades of devastation in Kiev, effectively transferring power to the north once again.

Peter of Moscow and scenes from his life as depicted in a 15th-century icon. This religious leader helped bring cultural power to Moscow by moving the seat of the Russian Orthodox Church there during Ivan I’s reign.

One of the most lasting accomplishments of Ivan I was to petition the Khan based in Sarai to designate his son, who would become Simeon the Proud, as the heir to the title of Grand Prince of Vladimir. This agreement a line of succession that meant the ruling head of Moscow would almost always hold power over the principality of Vladimir, ensuring Moscow held a powerful position for decades to come.

• Boundless World History. Authored by : Boundless. Located at : https://www.boundless.com/world-history/textbooks/boundless-world-history-textbook/ . License : CC BY-SA: Attribution-ShareAlike

• General Information

History of Moscow

Moscow has seen its fair share of history, from invasions to revolutions : these days it is home to a wealth of culture and is one of the most populated capitals in the world.

The name of the Russian city comes from the river that courses through it, the  Moskva . While the exact date of the founding of the metropolis is unknown, it was first mentioned by name in 1147 , and was a convenient meeting place well accessed by rivers and roads.

Medieval Moscow

This small trading post grew and was fortified over the next few centuries, with churches and monasteries being built. However, the 13th century saw a Mongol invasion burning the city to the ground and killing all who lived there, with Moscow becoming a Grand Duchy within the Mongol Empire. The city prospered and would eventually lead a united Russian army in victory over the Mongols , ending up as capital city by the end of the 15th century.

During the 16th to 17th centuries under the Tsardom of Russia , Moscow's population grew rapidly, and many of the monuments emblematic of the city were constructed, from  Novodevichy Convent  to Saint Basil's Cathedral  and the Kremlin . Despite its growth, it suffered  famine, plagues, attacks by the Crimean Tatars and destructive fires - unsurprising considering much of the city was built of wood.

Discover more on our Walking Tour of Medieval Moscow !

Under the Russian Empire

When  Peter the Great  founded the Russian Empire in 1712 and made Saint Petersburg its capital, Moscow was suddenly relegated to second place and population quickly declined. However, over the ensuing century, the city's infrastructure was built up and connections to the capital were created. When  Napoleon invaded in 1812 , Moscow's inhabitants were evacuated, but not before allegedly setting fire to the city to sabotage the French forces. The city's destruction was claimed as a great success by the Muscovites, and it was quickly rebuilt afterwards: Moscow State University was founded, the Bolshoi Theatre was built, and any number of monuments celebrating the city's victory were put up.

Throughout this time, Moscow was also experiencing a population boom, with a massive influx of peasants moving to the metropolis from rural farms in search of work. In stark contrast to the lavish architecture being built, the city was also filled with poverty-stricken slums, and increasing discontent lead to revolution .

Bolshevik Revolution & Soviet Russia

Mass political and social unrest instigated an attempted revolution in 1905, but it wasn't until 1917 that the movement really took hold of Russia. That year saw the February and October Revolutions , followed by a Civil War  which ended with the  monarchy being abolished , the royal family being executed, and the  Soviet Union being established  by the socialist political party known as the  Bolsheviks . In 1922, the Communist government made  Moscow capital again .

The Russian Army was victorious in defending the city from German offensives in the Battle of Moscow during World War II , and the Soviet leadership left its mark on the capital  over the next five decades. Improved roads, bus, train and metro networks modernised Moscow; high-rise apartments provided a solution to serious housing crisis, and atheist ideology saw the destruction or conversion of over half of the country's churches. Remnants of the Soviet state can still be seen today across much of the city, for example in the statues and artwork throughout the Moscow Metro .

In 1980, Moscow hosted the Summer Olympic Games , an event which was boycotted by the United States and over 60 other countries because of the Soviet-Afghan War. While this increased the Cold War tensions that gripped the two superpowers, there was no denying that Russia was liberalising under leader Mickhail Gorbachev's "perestroika" reforms.

Moscow since 1991

1991 saw the Soviet Union being dissolved, with Moscow remaining capital of the Russian Federation . Enormous population growth since the 1990s means it is now the largest city on the European continent, with over 13 million people living within the city limits alone. Political, economic and social changes have "Westernised" Moscow, which can be seen in the presence of international chains in the city and in the restoration of churches demolished under Stalin, like the  Cathedral of Christ the Saviour .

Intrigued? Our guided walking tours of Soviet Moscow , Communist Moscow and Cold War Bunker 42 will immerse you in the city's fascinating history.

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