All questions
Question 1
In un supermercato, 1 euro e 20 centesimi equivalgono a 850 grammi di riso. Quanto costeranno 2,4 kg dello stesso riso?
- 2,88 €
- 3,39 € (correct answer)
- 3,12 €
- 3,66 €
Explanation: This question tests your ability to set up and solve proportional relationships, a fundamental skill for shopping and conversational situations in Italian-speaking contexts.
First, you need to establish the unit price. If 850 grams cost €1.20, then the price per gram is 8501.20=0.001411765... euros per gram. Since you want 2.4 kg (which equals 2,400 grams), multiply: 2,400×0.001411765...=3.388... euros, which rounds to €3.39.
Alternatively, you can set up a proportion: 8501.20=2400x. Cross-multiplying gives 1.20×2400=850x, so 2880=850x, and x=3.388... euros.
Answer A (€2.88) represents a calculation error where someone might have divided incorrectly or forgotten to convert kilograms to grams properly. Answer C (€3.12) could result from rounding errors or miscalculating the proportion. Answer D (€3.66) might come from incorrectly setting up the proportion or making arithmetic mistakes in the cross-multiplication.
When solving proportion problems in Italian contexts, always check your unit conversions first—kilograms to grams is a common source of errors. Set up your proportion clearly with matching units, and don't rush the arithmetic. These practical math problems appear frequently in conversational Italian exams because they reflect real shopping scenarios you'd encounter abroad. Question 2
Durante i saldi estivi, un negozio applica sconti progressivi: 20% sul primo articolo, 30% sul secondo articolo dello stesso tipo, e 40% dal terzo articolo in poi. Maria compra 4 magliette dello stesso modello che costano 25 € ciascuna.
Quanto spenderà Maria in totale per le 4 magliette?
- 72,50 €
- 68,00 €
- 75,00 €
- 67,50 € (correct answer)
Explanation: Calcolo: 1ª maglietta: 25 × (1-0,20) = 20,00 €. 2ª maglietta: 25 × (1-0,30) = 17,50 €. 3ª maglietta: 25 × (1-0,40) = 15,00 €. 4ª maglietta: 25 × (1-0,40) = 15,00 €. Totale: 20,00 + 17,50 + 15,00 + 15,00 = 67,50 €. A rappresenta uno sconto uniforme del 15%. B applica uno sconto medio del 30%. C applica uno sconto uniforme del 25%.
Question 3
Un ristorante ha 75 posti a sedere. Durante il pranzo di sabato, i tre quarti dei tavoli sono occupati da gruppi di 4 persone ciascuno, mentre il resto è occupato da coppie. Il conto medio per persona è di 18,50 €.
Qual è l'incasso totale del ristorante per questo pranzo?
- 1.295,00 €
- 1.202,50 €
- 1.387,50 € (correct answer)
- 1.156,25 €
Explanation: Calcolo: Posti occupati = 75. Gruppi da 4: 3/4 × 75 = 56,25 ≈ 56 persone (14 tavoli × 4). Coppie: 75 - 56 = 19 persone. Totale persone = 75. Incasso = 75 × 18,50 = 1.387,50 €. A calcola solo i gruppi da 4. B calcola erroneamente il numero di coppie. D applica uno sconto non menzionato.
Question 4
Al ristorante, il conto per quattro persone è di €127,60. Se vogliono lasciare una mancia del 12% e dividere tutto equamente, quanto pagherà ciascuna persona?
- € 35,73 (correct answer)
- € 31,90
- € 38,95
- € 39,42
Explanation: Calcolo: Mancia = 127,60 × 0,12 = €15,31. Totale con mancia = 127,60 + 15,31 = €142,91. Per persona = 142,91 ÷ 4 = €35,73. Le altre opzioni rappresentano errori comuni: B) dividere solo il conto base, C) calcolare male la mancia, D) errore di arrotondamento.
Question 5
Maria compra della stoffa per fare delle tende. Ha bisogno di 4,75 metri di tessuto che costa €16,80 al metro. Il negozio applica uno sconto del 15% su acquisti superiori a €75.
Quanto spenderà Maria in totale?
- € 59,67
- € 79,80
- € 67,83 (correct answer)
- € 71,25
Explanation: When you encounter Italian word problems involving percentages and calculations, you need to work through multiple steps while understanding key vocabulary like "stoffa" (fabric), "metri" (meters), "sconto" (discount), and "superiori a" (greater than).
Let's calculate Maria's total cost step by step. First, find the initial cost: 4.75 meters×€16.80=€79.80. Next, check if the discount applies - since €79.80 is greater than €75, Maria qualifies for the 15% discount. Calculate the discount amount: €79.80×0.15=€11.97. Finally, subtract the discount: €79.80−€11.97=€67.83.
Answer A (€59.67) represents a calculation error where someone might have applied a 25% discount instead of 15%, or miscalculated the initial fabric cost. Answer B (€79.80) is the pre-discount total - this traps students who correctly calculate the initial cost but forget to apply the qualifying discount. Answer D (€71.25) suggests an error in either the discount calculation or the initial multiplication.
The key strategy for Italian math problems is to read carefully for conditional phrases like "su acquisti superiori a" (on purchases greater than). Always verify whether conditions are met before applying discounts or special rates. Make sure you understand measurement units and currency expressions in Italian, as these frequently appear in practical math contexts on the exam. Question 6
Un negozio di alimentari vende le arance in tre modi: singolarmente a €0,85 ciascuna, in sacchetti da 2 kg a €4,20, o in cassette da 5 kg a €9,75. Un'arancia pesa circa 200 grammi.
Qual è l'opzione più conveniente per comprare l'equivalente di 12 arance?
- Comprare 12 arance singole: €10,20
- Comprare una cassetta da 5 kg: €9,75
- Comprare due sacchetti da 2 kg: €8,40
- Comprare un sacchetto da 2 kg + 2 arance singole: €5,90 (correct answer)
Explanation: 12 arance × 200g = 2,4 kg. Opzioni: A) €10,20, B) 5 kg (troppo), €9,75, C) 4 kg (troppo), €8,40, D) 2 kg + 2 arance singole = 2,4 kg esatti, €4,20 + €1,70 = €5,90. L'opzione D è la più conveniente perché fornisce esattamente la quantità necessaria al prezzo minore.
Question 7
In una pizzeria, una pizza margherita per 4 persone costa €18,50. Se la stessa pizzeria vende pizze individuali della stessa qualità a €6,80 ciascuna, quanto si risparmia ordinando la pizza grande invece di 4 pizze individuali?
- € 9,50
- € 8,70 (correct answer)
- € 6,30
- € 12,20
Explanation: This is a practical word problem testing your ability to calculate savings by comparing costs. When you encounter price comparison questions, always identify what you're comparing and set up the calculation step by step.
To find the savings, you need to calculate the difference between buying four individual pizzas versus one large pizza. First, find the cost of four individual pizzas: 4×€6,80=€27,20. The large pizza costs €18,50. The savings equals: €27,20−€18,50=€8,70.
Looking at the wrong answers: Choice A (€9,50) likely comes from miscalculating the multiplication or making an arithmetic error in the subtraction. Choice C (€6,30) might result from subtracting the large pizza price from three individual pizzas instead of four, or from other calculation mistakes. Choice D (€12,20) could come from adding prices instead of finding the difference, or from completely misunderstanding the problem setup.
The correct answer is B (€8,70).
For word problems involving money calculations in Italian, always write out your work clearly: identify what you're calculating, perform each operation step by step, and double-check your arithmetic. Watch for key phrases like "quanto si risparmia" (how much do you save) which signals you need to find a difference between costs. Practice these multi-step problems by always organizing your information first before jumping into calculations. Question 8
In un negozio di abbigliamento c'è una promozione: 'Compra 3 magliette, la meno cara è gratis.' Le magliette costano €29,90, €35,50, e €42,80.
Qual è il prezzo finale che il cliente deve pagare per le tre magliette?
- € 78,30 (correct answer)
- € 72,40
- € 65,40
- € 68,70
Explanation: Con la promozione, la maglietta meno cara (€29,90) è gratis. Il cliente paga solo per le altre due: €35,50 + €42,80 = €78,30. Le altre opzioni rappresentano: B) sottrarre la maglietta sbagliata, C) sottrarre quella più cara, D) calcolo errato della somma.
Question 9
Giulia sta confrontando due offerte telefoniche. L'offerta A costa €25 al mese con 100 GB e €0,50 per ogni GB aggiuntivo. L'offerta B costa €35 al mese con traffico illimitato.
A partire da quanti GB al mese l'offerta B diventa più conveniente dell'offerta A?
- 125 GB
- 120 GB (correct answer)
- 140 GB
- 135 GB
Explanation: When you encounter cost comparison problems like this one, you need to find the breakeven point where two pricing structures become equal, then determine which option is better beyond that point.
To solve this, set up an equation where both offers cost the same amount. For offer A, the total cost is €25 plus €0.50 for each GB over 100. So if someone uses x GB total, they pay: €25 + €0.50(x - 100). Offer B simply costs €35 regardless of usage.
Setting them equal: 25+0.50(x−100)=35
Solving step by step:
- 25+0.50x−50=35
- 0.50x−25=35
- 0.50x=60
- x=120
At exactly 120 GB, both offers cost €35. Beyond 120 GB, offer B becomes more convenient since its price stays fixed while offer A's cost continues rising.
Looking at the wrong answers: A) 125 GB likely comes from rounding errors or miscalculating the breakeven point. C) 140 GB and D) 135 GB are both too high, possibly resulting from setting up the equation incorrectly or making arithmetic mistakes in the solving process.
The answer is B) 120 GB.
Study tip: In cost comparison problems, always identify the breakeven point first by setting the two cost functions equal. Then determine which option is better on either side of that point by considering how the costs change with increased usage. Question 10
In un ristorante italiano, il conto totale per quattro persone è di 127,60 €. Se vogliono lasciare una mancia del 12% e dividere tutto equamente, quanto pagherà ciascuna persona?
- 35,73 € (correct answer)
- 31,90 €
- 34,50 €
- 33,82 €
Explanation: Calcolo: Mancia = 127,60 × 0,12 = 15,31 €. Totale con mancia = 127,60 + 15,31 = 142,91 €. Per persona = 142,91 ÷ 4 = 35,73 €. B rappresenta il costo senza mancia diviso per 4. C è un errore nell'arrotondamento. D è il risultato di un calcolo errato della percentuale.
Question 11
Durante una promozione speciale, un negozio vende 3 libri al prezzo di 2. Se ogni libro costa normalmente 14,90 €, quanto si risparmia comprando 9 libri durante la promozione?
- 49,67 €
- 44,70 € (correct answer)
- 41,80 €
- 38,25 €
Explanation: This question tests your ability to calculate savings from a bulk discount promotion in Italian. When you see "3 al prezzo di 2" (3 for the price of 2), you need to determine how many items you pay for versus how many you receive.
With 9 books under this promotion, you can form exactly 3 groups of the "3 for 2" deal. For each group, you pay for 2 books but receive 3, so you pay for 3×2=6 books total while getting 9 books.
The normal price would be: 9×14,90€=134,10€
The promotional price is: 6×14,90€=89,40€
Your savings: 134,10€−89,40€=44,70€
This confirms answer B is correct.
Looking at the wrong answers: A) 49,67€ suggests paying for only 5 books instead of 6, which miscalculates how the promotion works. C) 41,80€ appears to incorrectly apply a simple percentage discount rather than understanding the "3 for 2" structure. D) 38,25€ likely results from calculating the savings on only 2 groups instead of recognizing that 9 books form exactly 3 promotional groups.
When tackling Italian word problems involving promotions, always break down exactly what "X al prezzo di Y" means in terms of quantities paid versus quantities received. Then carefully count how many complete promotional groups you can form with your total purchase. Question 12
Un negozio di abbigliamento applica uno sconto del 25% su tutti i capi, poi aggiunge l'IVA del 22%. Se un cappotto costava originariamente 180 €, qual è il prezzo finale?
- 164,70 € (correct answer)
- 175,50 €
- 158,40 €
- 169,20 €
Explanation: Calcolo: Prezzo scontato = 180 × (1 - 0,25) = 180 × 0,75 = 135 €. Prezzo finale con IVA = 135 × (1 + 0,22) = 135 × 1,22 = 164,70 €. B applica prima l'IVA poi lo sconto. C calcola male la percentuale finale. D usa un'IVA del 20% invece del 22%.
Question 13
Un appartamento di 85 m² ha un affitto di €1.275 al mese. Qual è il costo per metro quadrato all'anno?
- € 165,50
- € 15,00
- € 180,00 (correct answer)
- € 168,20
Explanation: This question tests your ability to perform unit conversions and calculate rates in Italian real estate contexts. When you see rental calculations, always identify what units are being asked for versus what information you're given.
You have a monthly rent of €1.275 for 85 m², and you need the annual cost per square meter. Start by finding the monthly cost per square meter: 85 m²€1.275=€15 per m² per month. Then convert to annual by multiplying by 12 months: €15×12=€180 per m² per year.
Looking at the wrong answers: Option A (€165,50) likely comes from a calculation error, perhaps incorrectly dividing the annual total rent by square meters and making an arithmetic mistake. Option B (€15,00) is actually the correct monthly rate per square meter, but the question specifically asks for the annual rate - this is a common trap where students stop halfway through the calculation. Option D (€168,20) appears to result from using incorrect arithmetic, possibly confusing the monthly rent figure or making rounding errors during calculation.
The key strategy here is to always check your units carefully. Italian real estate problems often require converting between monthly and annual figures, and between total costs and per-square-meter rates. Break these problems into clear steps: first find the rate in the given timeframe, then convert to the requested timeframe. Double-check that your final answer matches the units asked for in the question.