Understand · Practise · Explain · Review · Test Yourself
This richer P6 resource is designed for curriculum learning and national-examination preparation. Every unit contains a detailed explanation, guided example, exam technique, objective questions, written-response practice, six video-search options, AI-guided revision and progress tracking.
place value; reading and writing large numbers; comparing; the four operations; rounding; word problems
🎯 What to master
place value; reading and writing large numbers; comparing; the four operations; rounding; word problems
📘 Detailed explanation
Large numbers are read by grouping digits into periods such as millions, thousands and units. Accuracy in place value is essential before comparing, rounding or calculating. In word problems, identify the operation, estimate first, calculate carefully, and check whether the answer is reasonable.
🧠 Worked example
Example: In 7,830,591, the digit 7 is in the millions place, so its value is 7,000,000. To compare 7,830,591 and 7,803,591, compare digits from the left until the first difference.
🏆 Exam technique: National-exam tip: show place-value reasoning and working. For word problems, write the operation before the final answer.
📝 Exam-style practice
1. What is the value of 6 in 6,245,310?
2. Which is greatest?
3. Round 4,786,412 to the nearest thousand.
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 2
➕➖ Multiplication and Division of Integers
multiplying and dividing positive and negative integers; signs; applications
🎯 What to master
multiplying and dividing positive and negative integers; signs; applications
📘 Detailed explanation
When multiplying or dividing integers, numbers with the same sign give a positive result and numbers with different signs give a negative result. Separate the sign decision from the numerical calculation.
🧠 Worked example
Example: (-6) × 4 = -24 because the signs are different. (-36) ÷ (-6) = 6 because the signs are the same.
🏆 Exam technique: National-exam tip: determine the sign first, then calculate the absolute values.
📝 Exam-style practice
1. (-8) × 5 =
2. (-42) ÷ 7 =
3. (-9) × (-3) =
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 3
🧩 Powers, Indices, LCM and GCF
powers and indices; prime factors; lowest common multiple; greatest common factor
🎯 What to master
powers and indices; prime factors; lowest common multiple; greatest common factor
📘 Detailed explanation
An index shows repeated multiplication. Prime factorisation helps find LCM and GCF efficiently. LCM is useful for events that repeat together, while GCF is useful for sharing or grouping into the largest equal groups.
🏆 Exam technique: National-exam tip: when asked for LCM/GCF, show prime factorisation or another clear method.
📝 Exam-style practice
1. 2⁴ =
2. GCF of 18 and 24 is...
3. LCM of 4 and 6 is...
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 4
🍕 Operations on Fractions
equivalent fractions; common denominators; addition, subtraction, multiplication and division of fractions
🎯 What to master
equivalent fractions; common denominators; addition, subtraction, multiplication and division of fractions
📘 Detailed explanation
Fractions must be handled according to the operation. For addition and subtraction, use a common denominator. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal of the second fraction.
🏆 Exam technique: National-exam tip: simplify answers and show how you obtained a common denominator or reciprocal.
📝 Exam-style practice
1. 3/8 + 1/4 =
2. 2/3 × 3/5 =
3. 3/4 ÷ 1/2 =
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 5
🔟 Rounding and Conversion of Decimal Numbers
decimal place value; rounding; decimals and fractions; conversions
🎯 What to master
decimal place value; rounding; decimals and fractions; conversions
📘 Detailed explanation
Decimal digits have place values such as tenths, hundredths and thousandths. To round, inspect the digit immediately to the right of the required place. Decimals can also be expressed as fractions using powers of ten.
🧠 Worked example
Example: 7.486 rounded to 2 decimal places is 7.49 because the third decimal digit is 6.
🏆 Exam technique: National-exam tip: underline the place you are rounding to, then inspect only the next digit.
📝 Exam-style practice
1. 0.75 as a fraction is...
2. Round 6.348 to 2 decimal places.
3. Which is greatest?
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 6
⚖️ Ratios, Proportions and Percentages
ratios; equivalent ratios; direct proportion; percentages; real-life applications
🎯 What to master
ratios; equivalent ratios; direct proportion; percentages; real-life applications
📘 Detailed explanation
A ratio compares quantities in the same order. Proportion shows two ratios are equivalent. A percentage means 'out of 100'. Convert between fractions, decimals and percentages to solve exam questions efficiently.
🏆 Exam technique: National-exam tip: label what each ratio term represents; for percentages, identify the whole before calculating.
📝 Exam-style practice
1. Simplify 12:18.
2. 30% of 200 =
3. If 4 books cost 2,000 Frw, 8 books cost...
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 7
🧊 Relationship Between Volume, Capacity and Mass
volume; capacity; mass; metric relationships and practical conversions
🎯 What to master
volume; capacity; mass; metric relationships and practical conversions
📘 Detailed explanation
Volume describes space occupied, capacity describes how much a container can hold, and mass describes amount of matter. Use consistent units before solving.
🧠 Worked example
Example: 1 litre = 1,000 millilitres. A cube of side 4 cm has volume 4 × 4 × 4 = 64 cm³.
🏆 Exam technique: National-exam tip: write the unit at every conversion step; cubic units are used for volume.
📝 Exam-style practice
1. 1.5 L =
2. Volume of a 3 cm cube =
3. 1 kg =
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 8
🚌 Speed, Distance and Time
speed; distance; time; unit conversion; travel problems
🎯 What to master
speed; distance; time; unit conversion; travel problems
📘 Detailed explanation
The core relationship is speed = distance ÷ time. Rearranging gives distance = speed × time and time = distance ÷ speed. Units must be compatible.
🧠 Worked example
Example: A car travels 180 km in 3 h. Speed = 180 ÷ 3 = 60 km/h.
🏆 Exam technique: National-exam tip: write S = D/T before substituting values. Convert minutes to hours when necessary.
📝 Exam-style practice
1. A cyclist covers 40 km in 2 h. Speed =
2. Distance at 50 km/h for 3 h =
3. Time for 120 km at 60 km/h =
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 9
🏦 Simple Interest and Problems Involving Saving
principal; rate; time; simple interest; total amount; saving problems
🎯 What to master
principal; rate; time; simple interest; total amount; saving problems
📘 Detailed explanation
Simple interest is calculated on the original principal. The common formula is I = P × R × T / 100. Total amount = principal + interest.
🧠 Worked example
Example: 20,000 Frw at 5% per year for 2 years gives I = 20,000 × 5 × 2 / 100 = 2,000 Frw.
🏆 Exam technique: National-exam tip: identify P, R and T clearly before substituting into the formula.
📝 Exam-style practice
1. Interest on 10,000 Frw at 10% for 1 year =
2. If principal is 30,000 Frw and interest is 3,000 Frw, amount =
3. The original money invested is called...
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 10
🔁 Equivalent Expressions and Number Sequences
simple algebraic expressions; equivalent forms; number sequence rules
🎯 What to master
simple algebraic expressions; equivalent forms; number sequence rules
📘 Detailed explanation
Equivalent expressions have the same value for the same input. Number sequences follow a rule that may involve adding, subtracting, multiplying or another pattern.
🧠 Worked example
Example: 3(x + 2) = 3x + 6. In 5, 9, 13, 17, ... the constant difference is 4.
🏆 Exam technique: National-exam tip: test an expression with a simple value if you are unsure whether two forms are equivalent.
📝 Exam-style practice
1. 3(a+4) =
2. Next term: 7, 12, 17, 22, ...
3. Which is equivalent to 2x+2x?
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
Data handling involves collecting, organising, representing and interpreting information. Read labels, scales and units carefully before answering.
🧠 Worked example
Example: For scores 4, 6, 8, mean = (4+6+8)/3 = 6.
🏆 Exam technique: National-exam tip: examine graph scale before reading values; always include units where relevant.
📝 Exam-style practice
1. Mean of 2, 4, 6, 8 =
2. A bar chart is useful for...
3. The mode is...
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
P6 MATHEMATICS · UNIT 15
🎲 Likelihood of Events
possible outcomes; probability language; certain, likely, unlikely and impossible events
🎯 What to master
possible outcomes; probability language; certain, likely, unlikely and impossible events
📘 Detailed explanation
Probability describes chance. A probability of 0 means impossible and 1 means certain. For equally likely outcomes, probability = favourable outcomes ÷ total outcomes.
🧠 Worked example
Example: On a fair six-sided die, P(rolling 4) = 1/6 and P(rolling an even number) = 3/6 = 1/2.
🏆 Exam technique: National-exam tip: list the sample space when a probability question feels confusing.
📝 Exam-style practice
1. Probability of rolling 7 on a normal die =
2. Probability of an even number on a fair die =
3. An event with probability 1 is...
Score:0 / 3
✍️ Written-response practice
🎥 Revision videos
Use short videos to revise, then return here and answer without looking at the video.
🤖 Ask Kiki
Kiki gives hints, checks reasoning and can create extra practice. It is designed to support learning, not simply reveal answers.
🏆 National-exam practice test
Generate a 20-question mixed test from across the units. Try it without notes, then review weak units.
🎥 Revision Video Hub
Each unit has six focused video searches: concept, explanation, practice, exam revision, worked examples and quiz/recap. Videos are supplementary: learners should return to KwigaToon and answer independently.