FS

Functional Skills Maths — Level 1

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📖 Key Words:
Calculate
Work out the answer using maths
Total
Add everything together
Difference
Subtract — find how much bigger/smaller
Perimeter
Total distance around outside of a shape
Area
Space inside a flat shape (length × width)
Mean
Add all values then divide by how many
Median
Middle value when in order
Mode
Value that appears most often
Range
Largest minus smallest
Probability
How likely — favourable ÷ total outcomes
Ratio
Comparing two amounts e.g. 2:3
Frequency
How many times something happens

📚 How to Use This Platform

1️⃣ Read the Question

Read slowly. Look for the key word — it tells you what to do (calculate, find, total, etc.).

2️⃣ Use the ESOL Hint

The blue box explains difficult words in simple English with a real-life example.

3️⃣ Type Your Answer

Type only the number. Do not type units like cm or £ unless asked.

4️⃣ Check and Learn

If wrong, a step-by-step method box appears. Read it carefully.

🔢 BODMAS — Order of Operations

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

BODMAS tells you the order to do calculations: Brackets first, then powers, then multiply/divide, then add/subtract.

💡 3 + 4 × 2 = 11 (not 14) because you multiply first.

Q11 mark

Work out: 3 + 4 × 2

💬 HintMultiply first (4 × 2 = 8), then add 3.
Q21 mark

Work out: (5 + 3) × 4

💬 HintBrackets first: 5 + 3 = 8. Then multiply 8 × 4.
Q31 mark

Work out: 20 − 3 × 4

💬 HintMultiply first: 3 × 4 = 12. Then 20 − 12.
Q41 mark

Work out: 18 ÷ (2 + 1)

💬 HintBrackets first: 2 + 1 = 3. Then 18 ÷ 3.
Q51 mark

Work out: 5² − 1

💬 Hint5² means 5 × 5 = 25. Then subtract 1.
Q61 mark

Work out: 4 × 3 + 2 × 5

💬 HintBoth multiplications first: 4×3=12 and 2×5=10. Then add.
Q71 mark

Work out: (10 − 4) ÷ 2

💬 HintBrackets first: 10 − 4 = 6. Then 6 ÷ 2.
Q81 mark

Work out: 3 + 12 ÷ 4

💬 HintDivide first: 12 ÷ 4 = 3. Then add 3 + 3.
Q91 mark

Work out: (6 + 2)²

💬 HintBrackets first: 6 + 2 = 8. Then 8² = 8 × 8.
Q101 mark

Work out: 50 − (3 × 4) + 2

💬 HintBrackets first: 3 × 4 = 12. Then 50 − 12 + 2 left to right.

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🔢 Whole Numbers & Place Value

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Whole numbers have no decimals. Place value: each digit's position tells its value — ones, tens, hundreds, thousands.

💡 In 3,450 the 3 means 3,000 because it is in the thousands column.

Q11 mark

What is the value of the digit 7 in 4,736?

💬 HintCount the columns: ones, tens, hundreds, thousands. Which column is 7 in?
Q21 mark

Round 3,847 to the nearest hundred.

💬 HintLook at the tens digit (4). Less than 5 → round down. Hundreds digit stays 8.
Q31 mark

Work out: 423 + 298

💬 HintAdd column by column from the right. 3+8=11, write 1 carry 1.
Q41 mark

Work out: 605 − 247

💬 HintSubtract column by column. Borrow from the next column when needed.
Q51 mark

Work out: 34 × 6

💬 Hint4×6=24 write 4 carry 2. Then 3×6=18+2=20. Answer: 204.
Q61 mark

Work out: 144 ÷ 12

💬 HintThink: 12 × ? = 144. 12 × 12 = 144.
Q71 mark

Write in order smallest to largest: 1,204   1,042   1,420   1,024

💬 HintAll start with 1. Compare hundreds next: 0 < 0 < 2 < 4.
Q81 mark

What is 5,000 + 300 + 40 + 9 as a single number?

💬 HintPlace each part in its column: thousands=5, hundreds=3, tens=4, ones=9.
Q91 mark

A factory makes 125 boxes per hour. How many in 8 hours?

💬 HintPer hour = each hour. Multiply: 125 × 8.
Q101 mark

Round 6,552 to the nearest thousand.

💬 HintHundreds digit = 5. Five or more → round up. 6,000 rounds up to 7,000.

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½ Fractions

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

A fraction is part of a whole. Top number = numerator (how many parts you have). Bottom number = denominator (how many equal parts total).

💡 3/8 of a pizza means you ate 3 slices out of 8 equal slices.

Q11 mark

Simplify: 6/8

💬 HintHCF of 6 and 8 is 2. Divide both top and bottom by 2.
Q21 mark

What is 1/4 of 60?

💬 Hint1/4 means divide by 4. 60 ÷ 4 = ?
Q31 mark

Work out: 1/3 + 1/3

💬 HintSame denominator — add the top numbers only. Denominator stays the same.
Q41 mark

Work out: 3/4 − 1/4

💬 HintSame denominator — subtract top numbers. 3−1=2. Denominator stays 4. Simplify.
Q51 mark

Convert 3/4 to a decimal.

💬 HintDivide top by bottom: 3 ÷ 4.
Q61 mark

What is 2/5 of 40?

💬 HintFind 1/5 first: 40 ÷ 5 = 8. Then × 2 for 2/5.
Q71 mark

Which is larger: 3/5 or 2/3?

💬 HintConvert to decimals: 3/5 = 0.6, 2/3 = 0.667. Compare them.
Q81 mark

A bag has 30 sweets. Sam eats 1/5 of them. How many are left?

💬 Hint1/5 of 30 = 30 ÷ 5 = 6. Subtract 6 from 30.
Q91 mark

Work out: 1/2 + 1/4

💬 HintChange 1/2 to 2/4 (same denominator). Then 2/4 + 1/4.
Q101 mark

Simplify: 10/15

💬 HintHCF of 10 and 15 is 5. Divide both by 5.

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🔣 Decimals

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

A decimal point separates the whole part from the part less than one. £3.75 = 3 whole pounds and 75 pence.

💡 0.5 = half, 0.25 = quarter, 0.1 = one tenth.

Q11 mark

Work out: 3.4 + 2.5

💬 HintLine up decimal points. Add tenths: 4+5=9. Add ones: 3+2=5.
Q21 mark

Work out: 7.8 − 3.2

💬 HintLine up decimal points. Subtract: 8−2=6 tenths, 7−3=4 ones.
Q31 mark

Work out: 0.6 × 4

💬 Hint6 × 4 = 24. One decimal place in question → answer has 1 d.p.: 2.4
Q41 mark

Round 4.76 to one decimal place.

💬 HintSecond decimal digit is 6 (≥5) → round up the first decimal digit from 7 to 8.
Q51 mark

Order smallest to largest: 0.7   0.07   0.71   0.17

💬 HintRewrite as 2 d.p.: 0.70, 0.07, 0.71, 0.17. Compare each digit.
Q61 mark

Work out: 5.3 + 1.85

💬 HintWrite 5.3 as 5.30. Then add 5.30 + 1.85.
Q71 mark

Work out: 2.5 × 10

💬 Hint× 10 moves the decimal point one place to the right.
Q81 mark

Work out: 6.4 ÷ 2

💬 Hint6 ÷ 2 = 3, then 0.4 ÷ 2 = 0.2. Answer = 3.2
Q91 mark

Write 0.35 as a fraction in simplest form.

💬 Hint0.35 = 35/100. Both divide by 5: 7/20.
Q101 mark

A pencil costs £0.45. How much do 6 pencils cost?

💬 Hint45 × 6 = 270 pence = £2.70

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% Percentages

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Per cent = out of 100. To find a percentage of an amount: amount × percentage ÷ 100.

💡 20% off a £80 coat: 80 × 20 ÷ 100 = £16 off. Pay £64.

Q11 mark

What is 50% of 80?

💬 Hint50% = half. Divide by 2.
Q21 mark

What is 25% of 120?

💬 Hint25% = quarter. Divide by 4.
Q31 mark

What is 10% of £350?

💬 Hint10% = divide by 10.
Q41 mark

What is 20% of £60?

💬 Hint10% of £60 = £6. Double it for 20%.
Q51 mark

18 out of 60 students passed. What percentage is that?

💬 Hint(part ÷ whole) × 100. So 18 ÷ 60 × 100.
Q61 mark

A TV costs £200 and is reduced by 15%. What is the sale price?

💬 Hint10%=£20, 5%=£10, so 15%=£30. Sale price = £200 − £30.
Q71 mark

A worker earns £400 per week and gets a 5% pay rise. New weekly pay?

💬 Hint5% of £400 = £20. Add to original.
Q81 mark

What is 75% of 200?

💬 Hint50%=100, 25%=50. 75% = 100+50.
Q91 mark

Write 45% as a decimal.

💬 HintDivide by 100: move decimal point 2 places left.
Q101 mark

A class of 30 students: 60% are female. How many female students?

💬 Hint10% of 30 = 3. Multiply by 6 for 60%.

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💷 Money & Finance

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Key words: cost = price, change = money back, total = add all amounts, discount = money off.

💡 Pay with £20, spend £13.50 → change = £20 − £13.50 = £6.50.

Q11 mark

You buy items costing £3.50, £1.20 and £4.75. Total cost?

💬 HintAdd all three. Line up the decimal points.
Q21 mark

You pay with a £10 note for items costing £6.45. Change?

💬 Hint£10.00 − £6.45
Q31 mark

A worker earns £9.50 per hour and works 8 hours. Total pay?

💬 HintPay = rate × hours. £9.50 × 8.
Q41 mark

A bus ticket costs £2.40. How much do 5 tickets cost?

💬 Hint£2.40 × 5 = 240 × 5 pence = 1200p = £12.00
Q51 mark

A phone costs £360, paid in 12 equal payments. How much each?

💬 Hint£360 ÷ 12
Q61 mark

A jacket costs £75 with 20% off. Sale price?

💬 Hint20% of £75: 10%=£7.50, so 20%=£15. £75 − £15.
Q71 mark

Sam earns £1,200 per month and saves 1/4. How much saved?

💬 Hint1/4 of £1,200 = £1,200 ÷ 4
Q81 mark

Three friends share a £54.00 restaurant bill equally. Each pays?

💬 HintShare equally = divide. £54 ÷ 3
Q91 mark

4 tins of soup cost £2.80. Cost of one tin?

💬 Hint£2.80 ÷ 4
Q101 mark

Maria earns £8.50 per hour and works 35 hours. Weekly wage?

💬 Hint£8.50 × 35

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⚖️ Ratio & Proportion

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

A ratio compares two amounts. 2:3 means for every 2 of one thing there are 3 of another.

💡 Recipe uses flour:sugar = 3:1. For 300g flour you need 100g sugar.

Q11 mark

Simplify: 6:9

💬 HintHCF of 6 and 9 is 3. Divide both by 3.
Q21 mark

Share £40 in ratio 3:2. What is the larger share?

💬 HintTotal parts = 5. One part = £8. Larger share = 3 × £8.
Q31 mark

A model is scale 1:20. Real car = 400 cm. Model length?

💬 Hint400 ÷ 20
Q41 mark

A recipe needs 2 eggs per 100g flour. Eggs for 300g flour?

💬 Hint300g = 3 × 100g. So 3 × 2 eggs.
Q51 mark

Boys:girls = 3:5, total 24 students. How many girls?

💬 Hint8 parts total. 1 part = 3. Girls = 5 × 3.
Q61 mark

Simplify: 15:25

💬 HintHCF = 5. Divide both by 5.
Q71 mark

OJ:water = 1:4. How much OJ for 500 ml total?

💬 Hint5 parts total. 1 part = 100 ml. OJ = 1 × 100.
Q81 mark

Tom and Jay share £90 in ratio 2:1. How much does Tom get?

💬 Hint3 parts. 1 part = £30. Tom = 2 × £30.
Q91 mark

5 pens cost £3.00. How much do 8 pens cost?

💬 Hint1 pen = £3.00 ÷ 5 = 60p. 8 pens = 8 × 60p.
Q101 mark

Map scale 1:50,000. Road = 4 cm on map. Real length in metres?

💬 Hint4 × 50,000 = 200,000 cm ÷ 100 = 2,000 m

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📏 Measures — Time, Length, Weight, Capacity

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Key conversions: 1 km = 1,000 m · 1 kg = 1,000 g · 1 litre = 1,000 ml · 1 hour = 60 minutes · 1 m = 100 cm

💡 A 500 ml bottle of water = half a litre.

Q11 mark

Convert 3.5 km to metres.

💬 Hint× 1,000. Move decimal 3 places right.
Q21 mark

Convert 2,500 g to kilograms.

💬 Hint÷ 1,000.
Q31 mark

Train leaves 09:45, arrives 11:20. How long is the journey?

💬 Hint09:45 → 10:45 = 1 hour. 10:45 → 11:20 = 35 min. Total = 1 hour 35 min.
Q41 mark

Convert 180 minutes to hours.

💬 Hint180 ÷ 60
Q51 mark

Convert 1.75 litres to millilitres.

💬 Hint× 1,000.
Q61 mark

A plank of 3.6 m is cut into 0.4 m pieces. How many pieces?

💬 Hint3.6 ÷ 0.4. Multiply both by 10: 36 ÷ 4.
Q71 mark

Film starts 7:35 pm, lasts 2 hours 10 minutes. End time?

💬 HintAdd hours first: 7:35 + 2h = 9:35. Then + 10 min = 9:45 pm.
Q81 mark

How many centimetres in 2.3 metres?

💬 Hint× 100.
Q91 mark

Bag of rice = 800 g. How many bags from 4 kg?

💬 Hint4 kg = 4,000 g. 4,000 ÷ 800.
Q101 mark

Bus travels 45 km in 30 minutes. Average speed in km/h?

💬 HintSpeed = distance ÷ time. 30 min = 0.5 hours. 45 ÷ 0.5.

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📐 Area & Perimeter

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Perimeter = total distance around outside (add all sides). Area = space inside (length × width for rectangles).

💡 Fence a garden = perimeter. Lay carpet = area.

Q11 mark

Perimeter of a rectangle: length 8 cm, width 5 cm.

💬 HintP = 2 × (l + w) = 2 × (8 + 5)
Q21 mark

Area of a rectangle: length 12 cm, width 4 cm.

💬 HintA = l × w
Q31 mark

Perimeter of a square with side 7 cm.

💬 Hint4 equal sides. P = 4 × 7
Q41 mark

Area of a triangle: base 10 cm, height 6 cm.

💬 HintA = ½ × base × height = 10 × 6 ÷ 2
Q51 mark

Room = 5 m × 4 m. Carpet costs £12 per m². Total cost?

💬 HintArea = 5 × 4 = 20 m². Cost = 20 × £12.
Q61 mark

Rectangle area = 36 cm², length = 9 cm. Find the width.

💬 HintWidth = area ÷ length = 36 ÷ 9
Q71 mark

Area of a square with side 6 cm.

💬 Hint6 × 6
Q81 mark

Garden = 15 m × 8 m. Length of fencing needed all around?

💬 HintP = 2 × (15 + 8)
Q91 mark

Area of a parallelogram: base 8 cm, perpendicular height 5 cm.

💬 HintA = base × height (use perpendicular height)
Q101 mark

Flower bed = 6 m × 4 m. A 1 m wide path surrounds it. Total area including path?

💬 HintNew dims: l = 6+2 = 8 m, w = 4+2 = 6 m. Total = 8 × 6.

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📊 Averages

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Mean: add all ÷ count. Median: middle value (put in order). Mode: most common. Range: largest − smallest.

💡 Scores 4,7,5,7,2: Mean=5, Mode=7, Median=5, Range=5.

Q11 mark

Find the mean of: 4, 8, 6, 10, 2

💬 HintAdd all: 4+8+6+10+2=30. Divide by 5.
Q21 mark

Find the median of: 3, 7, 1, 9, 5

💬 HintOrder first: 1, 3, 5, 7, 9. Middle value = 3rd number.
Q31 mark

Find the mode of: 2, 5, 3, 5, 8, 5, 1

💬 HintCount each value. 5 appears 3 times — the most.
Q41 mark

Find the range of: 12, 7, 18, 4, 9

💬 HintLargest = 18, Smallest = 4. Range = 18 − 4.
Q51 mark

5 students scored: 6, 8, 5, 9, 7. Mean score?

💬 Hint6+8+5+9+7 = 35. ÷ 5.
Q61 mark

Find the median of: 10, 4, 7, 2, 8, 1, 6

💬 HintOrder: 1,2,4,6,7,8,10. 7 values → median is the 4th.
Q71 mark

Temperatures for a week: 14, 16, 13, 18, 14, 17, 14. Mode?

💬 Hint14 appears 3 times — more than any other value.
Q81 mark

Mean of 4 numbers is 9. Three are 7, 11, 8. What is the fourth?

💬 HintTotal = 9 × 4 = 36. Known sum = 26. Fourth = 36 − 26.
Q91 mark

Find the mean of: 15, 22, 18, 25, 20

💬 HintSum = 100. Divide by 5.
Q101 mark

Shoe sizes: 5, 8, 6, 10, 7, 9, 5. Find the range.

💬 HintLargest = 10, Smallest = 5. Range = 10 − 5.

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📈 Handling Data

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Reading tables, bar charts, pictograms. Frequency = how many times something happens. The tallest bar = most popular.

💡 A pictogram uses symbols to represent data. Check the key — each symbol may = 4 or 10 items.

Q11 mark

Quiz scores: Ana=8, Ben=5, Cara=9, Dev=7, Eve=6. Who scored highest?

💬 HintLook for the largest number.
Q21 mark

Frequency table: Red=12, Blue=18, Green=9, Yellow=11. Total items?

💬 HintAdd all four frequencies.
Q31 mark

Pictogram: ★ = 4 students. Football shows 3½ stars. How many students chose football?

💬 Hint3 × 4 = 12, plus ½ star = 2. Total = 14.
Q41 mark

Monthly sales: Jan=45, Feb=38, Mar=52, Apr=60. Difference between highest and lowest?

💬 HintHighest = 60 (Apr), Lowest = 38 (Feb). 60 − 38.
Q51 mark

Tally chart: Red=9, Blue=12. How many more chose Blue than Red?

💬 Hint12 − 9
Q61 mark

Two-way table: Boys-football=14, Boys-tennis=6, Girls-football=10, Girls-tennis=10. Total students?

💬 HintAdd all four cells: 14+6+10+10.
Q71 mark

Ice cream sales: Vanilla=35, Chocolate=50, Strawberry=25, Mint=40. Which sold least?

💬 HintFind the smallest number.
Q81 mark

Temperatures: Mon=12, Tue=15, Wed=11, Thu=17, Fri=14 °C. Mean temperature?

💬 Hint12+15+11+17+14 = 69. ÷ 5.
Q91 mark

Pictogram: 🍎 = 10 apples. Row A = 4 symbols, Row B = 2½ symbols. Total apples?

💬 HintRow A: 4×10=40. Row B: 2.5×10=25. Total = 65.
Q101 mark

Frequency table: 0–20=3, 21–40=7, 41–60=15, 61–80=10, 81–100=5. How many scored more than 60?

💬 HintAdd the 61–80 and 81–100 groups: 10 + 5.

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🎲 Probability

Level 1 · 10 Questions · 1 mark each

🌍 ESOL Context

Probability = how likely. P = favourable outcomes ÷ total outcomes. Scale: 0 = impossible, 1 = certain.

💡 Bag: 3 red + 7 blue = 10 balls. P(red) = 3/10.

Q11 mark

Bag: 3 red balls and 7 blue balls. P(red)?

💬 HintTotal = 10. Favourable = 3. P = 3/10.
Q21 mark

Fair coin flipped. P(heads)?

💬 Hint2 outcomes. 1 favourable (heads). P = 1/2.
Q31 mark

Fair 6-sided dice rolled. P(4)?

💬 Hint6 equal sides. Only one shows 4. P = 1/6.
Q41 mark

P(rain) = 0.3. What is P(no rain)?

💬 HintP(not A) = 1 − P(A). 1 − 0.3.
Q51 mark

Spinner: 8 equal sections, numbered 1–8. P(even number)?

💬 HintEven: 2,4,6,8 = 4 numbers. P = 4/8 = 1/2.
Q61 mark

Box: 5 green, 3 yellow, 2 white. P(yellow)?

💬 HintTotal = 10. Yellow = 3. P = 3/10.
Q71 mark

Dice rolled. P(number greater than 4)?

💬 HintGreater than 4: 5 and 6 = 2 outcomes. P = 2/6 = 1/3.
Q81 mark

50 raffle tickets. Jan buys 5. P(Jan wins)?

💬 Hint5 out of 50. P = 5/50 = 1/10.
Q91 mark

Write probability 0.25 as a fraction in simplest form.

💬 Hint0.25 = 25/100 = 1/4.
Q101 mark

Cards numbered 1–20. P(multiple of 5)?

💬 HintMultiples of 5: 5,10,15,20 = 4 cards. P = 4/20 = 1/5.

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