What do the Grade 5 Mathematics cards cover?

31 cards across 8 chapters of the national textbook: ልኬት፣ ስፋት እና ይዘት, ክፍልፋዮች, አስርዮሾች, መቶኛ, በተለዋዋጮች መስራት, መረጃ አያያዝ, የጠጣር ምስሎች ዓይነትና ትርጉም and መስመሮች፣ አንግሎች እና ልኬት. You can take any chapter one card at a time on the page itself.

Is there a national exam in Grade 5?

No. Ethiopia sets national exams in Grade 6, Grade 8 and Grade 12 only. These cards are for your school's own exams, and for the national exam that comes a few years later.

Where do these cards come from?

They are drafted from Grade 5 Mathematics, the Ministry of Education textbook for this grade. A second pass that cannot see the chapter then re-derives every formula, constant and table row, and anything it cannot confirm is held back instead of published.

Yes. Every card here is free to read and the printable sheet is free to download. Neither needs an account.

When was this last checked?

13 October 2026. Cards arrive chapter by chapter, and the line under each one says when that card was last read through.

Free short notes and revision cards

Grade 5 Mathematics

Grade 5 Mathematics on Temari has 31 revision cards, arranged by the chapters of the Ethiopian national curriculum. Every card says when the rule applies, what each symbol in it stands for, and the mistake students most often make with it. They are free to read and need no account.

31
Cards: 8
Chapters: 13
Formulas: 5
Reference tables: Grade 5 Mathematics
Textbook: Free
Price: 13 October 2026
Last checked

Everything31Formula13Common mistake10Reference table5Rule2Method1

ልኬት፣ ስፋት እና ይዘት

Area of a rectangle or squareFormula

A = l \times w

A = l \times w

$A$: area of the rectangle, in square units $\text{m}^{2}$
$l$: length of the rectangle $\text{m}$
$w$: width of the rectangle $\text{m}$

When you use it

Reach for this when a rectangle or square is given with its length and width and you must find the area in square units.

Watch out

Multiply length by width only when both are in the same unit. A length in cm and a width in m must be converted first.

Drafted from Grade 5 Mathematics, pages 1-25, then checked twice before it went up

Area unit conversionsReference table1 m^2 · 1 ha · 1 km^2 · +1

Unit	Equal to
$1\,\text{m}^{2}$	$10{,}000\,\text{cm}^{2}$
$1\,\text{ha}$	$10{,}000\,\text{m}^{2}$
$1\,\text{km}^{2}$	$1{,}000{,}000\,\text{m}^{2}$
$1\,\text{cm}^{2}$	$100\,\text{mm}^{2}$

When you use it

Use this table when an area is given in one square unit and the question asks for another, such as square metres to square centimetres or square kilometres to square metres.

Drafted from Grade 5 Mathematics, pages 1-25, then checked twice before it went up

Squaring and cubing the conversion factorCommon mistake

When you use it

Use this when converting between square or cubic units, where the conversion factor for length must be squared or cubed.

Watch out

Many students square only the number and forget the factor. One square metre is not 100 square centimetres. Since 1 m = 100 cm, 1 square metre = 100 × 100 = 10,000 square centimetres, and 1 cubic metre = 1,000,000 cubic centimetres.

Drafted from Grade 5 Mathematics, pages 1-25, then checked twice before it went up

Volume and capacity conversionsReference table1 m^3 · 1 L · 1 cm^3

Unit	Equal to
$1\,\text{m}^{3}$	$1{,}000{,}000\,\text{cm}^{3}$
$1\,\text{m}^{3}$	$1{,}000\,\text{L}$
$1\,\text{L}$	$1{,}000\,\text{cm}^{3}$
$1\,\text{cm}^{3}$	$1{,}000\,\text{mm}^{3}$

When you use it

Use this table when a volume or liquid capacity is given in one unit and the question asks for another, such as cubic metres to litres.

Drafted from Grade 5 Mathematics, pages 1-25, then checked twice before it went up

Volume of a box or cubeFormula

V = l \times w \times h

V = l \times w \times h

$V$: volume of the box or cube, in cubic units $\text{m}^{3}$
$l$: length of the box $\text{m}$
$w$: width of the box $\text{m}$
$h$: height of the box $\text{m}$

When you use it

Use this when a box, cube or container is given with its length, width and height and you must find its volume in cubic units.

Watch out

Check that length, width and height are all in the same unit before multiplying. Otherwise the volume is wrong.

Drafted from Grade 5 Mathematics, pages 1-25, then checked twice before it went up

ክፍልፋዮች

Dividing one fraction by anotherFormula

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

$a$: numerator of the first fraction $\text{none}$
$b$: denominator of the first fraction, not zero $\text{none}$
$c$: numerator of the divisor (the fraction you divide by), not zero $\text{none}$
$d$: denominator of the divisor, not zero $\text{none}$

When you use it

Use this when one fraction is divided by another fraction, including mixed numbers once they are converted.

Watch out

Convert mixed numbers to improper fractions first. Flip only the second fraction (the divisor), never the first one.

Drafted from Grade 5 Mathematics, pages 26-45, then checked twice before it went up

Fraction a/b: part of a wholeFormula

\frac{a}{b}

\frac{a}{b}

$a$: numerator (top number): the number of equal parts taken $\text{none}$
$b$: denominator (bottom number): the number of equal parts the whole is divided into, a whole number other than zero $\text{none}$

When you use it

Use this when a whole is divided into equal parts and you must name how many of those parts are shaded or taken.

Watch out

The denominator b can never be zero, because a whole cannot be divided into zero equal parts.

Drafted from Grade 5 Mathematics, pages 26-45, then checked twice before it went up

Mixed number to improper fractionFormula

w\,\frac{a}{b} = \frac{w \times b + a}{b}

w\,\frac{a}{b} = \frac{w \times b + a}{b}

$w$: whole number part of the mixed number $\text{none}$
$a$: numerator of the fraction part $\text{none}$
$b$: denominator of the fraction part, kept unchanged $\text{none}$

When you use it

Use this when a mixed number must be written as an improper fraction, for example before multiplying or dividing.

Watch out

Multiply the whole number by the denominator before adding the numerator, and keep the original denominator unchanged. Students who add the whole number to the numerator alone get the wrong answer.

Drafted from Grade 5 Mathematics, pages 26-45, then checked twice before it went up

አስርዮሾች

Aligning decimal points when adding or subtractingCommon mistake

When you use it

Use this when you add or subtract decimal numbers in a column.

Watch out

Line up the decimal points one under the other and fill empty places with zeros. Write 2.07 as 2.070 before adding it to 10.806 and 1.3, otherwise the digits fall in the wrong place values.

Drafted from Grade 5 Mathematics, pages 46-71, then checked twice before it went up

Common fractions as decimals and percentsReference table1/10 · 1/100 · 1/5 · +1

Fraction	Decimal	Percent
$\frac{1}{10}$	$0.1$	$10\%$
$\frac{1}{100}$	$0.01$	$1\%$
$\frac{1}{5}$	$0.2$	$20\%$
$\frac{1}{4}$	$0.25$	$25\%$

When you use it

Use this when a fraction with denominator 10, 100, 5 or 4 must be written as a decimal or a percent.

Watch out

One tenth is 0.1, not 0.01. One hundredth is 0.01. Place the decimal point in the correct position when converting.

Drafted from Grade 5 Mathematics, pages 46-71, then checked twice before it went up

Converting a decimal to a fraction in lowest termsMethod

When you use it

Use this when a decimal must be written as a fraction and then simplified to lowest terms.

Watch out

The denominator has as many zeros as there are decimal places, so 0.075 = 75/1000, not 75/100. Then divide top and bottom by the HCF, 25, to get 3/40.

Drafted from Grade 5 Mathematics, pages 46-71, then checked twice before it went up

Multiplying and dividing decimals by 10, 100 and 1000Rule

When you use it

Use this when a decimal is multiplied or divided by 10, 100 or 1000 and you need to move the decimal point.

Watch out

Multiplying moves the point to the right, dividing moves it to the left. 0.456 x 100 = 45.6, not 4.56. 89.4 divided by 100 = 0.894.

Drafted from Grade 5 Mathematics, pages 46-71, then checked twice before it went up

Placing the decimal point when multiplying decimalsCommon mistake

When you use it

Use this when you multiply two decimal numbers and must decide where the decimal point goes in the product.

Watch out

Multiply as whole numbers, then count the decimal places in both factors together and move the point that many places from the right. 0.2 x 0.7 = 0.14, not 1.4. 0.46 x 7 = 3.22, with two decimal places kept.

Drafted from Grade 5 Mathematics, pages 46-71, then checked twice before it went up

መቶኛ

Common fraction, percentage and decimal equivalentsReference table1/4 · 1/2 · 3/4 · +4

Fraction	Percentage	Decimal
$\frac{1}{4}$	25%	0.25
$\frac{1}{2}$	50%	0.5
$\frac{3}{4}$	75%	0.75
$\frac{1}{5}$	20%	0.2
$\frac{1}{10}$	10%	0.1
$\frac{1}{100}$	1%	0.01
1	100%	1

When you use it

Use this when a fraction must be changed to a percentage or decimal, or to check a conversion quickly.

Drafted from Grade 5 Mathematics, pages 72-91, then checked twice before it went up

Finding a part from a percentageFormula

A = \frac{P}{100} \times W

A = \frac{P}{100} \times W

$A$: part wanted $same as W$
$P$: percentage given $%$
$W$: whole quantity $same as A$

When you use it

Use this when the percentage of a whole is given and the part must be found, for example 25% of 200 birr.

Watch out

Divide the percentage by 100 before multiplying by the whole. 25% of 200 is 50, not 25 × 200 = 5000.

Drafted from Grade 5 Mathematics, pages 72-91, then checked twice before it went up

Percentage of a wholeFormula

P = \frac{A}{W} \times 100\%

P = \frac{A}{W} \times 100\%

$P$: percentage, the share out of 100 $%$
$A$: part of the whole $same as W$
$W$: whole quantity $same as A$

When you use it

Use this when a part of a whole is given and the question asks for its percentage, such as a shaded part of a square or a number of pupils out of a total.

Drafted from Grade 5 Mathematics, pages 72-91, then checked twice before it went up

Percentage to decimalCommon mistake

When you use it

Use this when a percentage must be written as a decimal or a fraction.

Watch out

Drop the % sign and divide by 100. 25% is 0.25, not 2.5, and 0.15% is 0.0015, not 0.15.

Drafted from Grade 5 Mathematics, pages 72-91, then checked twice before it went up

Same unit before comparingCommon mistake

When you use it

Use this when one quantity is written as a percentage of another and the two are in different units, such as grams and kilograms.

Watch out

Convert both quantities to the same unit before dividing. 450 g of 4 kg is 0.45 ÷ 4 × 100% = 11.25%, not 450 ÷ 4.

Drafted from Grade 5 Mathematics, pages 72-91, then checked twice before it went up

በተለዋዋጮች መስራት

Multiply every term inside the bracketsCommon mistake

When you use it

Use this when a number stands in front of brackets, such as 9ቀ - 3(ቀ + 2ወ), and you must open them before simplifying.

Watch out

The number outside must multiply every term inside. Writing 9ቀ - 3ቀ - 2ወ loses the 3 on the 2ወ. The correct simplified answer is 6ቀ - 6ወ.

Drafted from Grade 5 Mathematics, pages 92-127, then checked twice before it went up

Only like terms combineCommon mistake

When you use it

Use this when you simplify an algebraic expression with several terms, such as 5w - 3w + 9w or 8ቀ + 7ወ.

Watch out

Add or subtract only the numbers in front of terms with the same letter. In 8ቀ + 7ወ the letters differ, so the terms stay separate and cannot be combined into 15.

Drafted from Grade 5 Mathematics, pages 92-127, then checked twice before it went up

Substitute, then follow the order of operationsCommon mistake

When you use it

Use this when the letters of an expression are given numbers and you must find the value of the expression.

Watch out

Write the multiplication sign between substituted numbers. With ቀ = 7, ሸ = 3 and በ = 4, 2ቀሸ means 2 × 7 × 3 = 42, not 273. Then follow the order: brackets, powers, division, multiplication, addition, subtraction.

Drafted from Grade 5 Mathematics, pages 92-127, then checked twice before it went up

መረጃ አያያዝ

Average speedFormula

v=\dfrac{d}{t}

v=\dfrac{d}{t}

$v$: average speed $km\,h^{-1}$
$d$: distance travelled $km$
$t$: time taken $h$

When you use it

Use this when a question gives a journey's distance and time and asks for the average speed, or asks for one of the three quantities when the other two are given.

Watch out

Keep distance in km and time in hours so the answer is in km per hour. In the chapter's bicycle example, 12 km in 3 hours gives 4 km/h, not 3 km/h.

Drafted from Grade 5 Mathematics, pages 128-150, then checked twice before it went up

Mean (average) of a set of numbersFormula

\text{Mean}=\dfrac{\sum x}{n}

\text{Mean}=\dfrac{\sum x}{n}

$\sum x$: sum of all the values in the set $\text{unit of the data}$
$n$: number of values, counting repeated values $1$

When you use it

Use this when a question asks for the average of two or more numbers, such as test scores or daily expenses.

Watch out

Divide the sum by how many values there are, counting repeated values. Do not divide by the largest value or by the number of categories.

Drafted from Grade 5 Mathematics, pages 128-150, then checked twice before it went up

Probability of an event in a simple experimentFormula

P=\dfrac{f}{t}

P=\dfrac{f}{t}

$P$: probability (chance) of the event $1$
$f$: number of favourable outcomes (times the event happens) $1$
$t$: total number of possible outcomes $1$

When you use it

Use this for a chance question with a coin, a die or cards, where you count the favourable outcomes out of all possible outcomes.

Watch out

Count the total as the number of cards or faces, not the number of colours. In the chapter's card example there are 4 cards, so the chance of a black card is 1/4 = 0.25.

Drafted from Grade 5 Mathematics, pages 128-150, then checked twice before it went up

የጠጣር ምስሎች ዓይነትና ትርጉም

Prism, pyramid or sphere by its basesRule

When you use it

Use this when you must name a solid shape as a prism, pyramid or sphere, by counting its bases.

Watch out

A prism has two bases, a pyramid has one base and a sphere has none. Count the bases before you name the shape.

Drafted from Grade 5 Mathematics, pages 151-164, then checked twice before it went up

Solids: bases, side faces, edges and verticesReference tableጎነ ሶስታዊ ፕሪዝም · ኩብ · ጎነ ሶስታዊ ፒራሚድ · +3

Solid	Bases	Side faces	Edges	Vertices
ጎነ ሶስታዊ ፕሪዝም	2	3	9	6
ኩብ	2	4	12	8
ጎነ ሶስታዊ ፒራሚድ	1	3	6	4
ጎነ አራታዊ ፒራሚድ	1	4	8	5
ጎነ አምስታዊ ፒራሚድ	1	5	10	6
ሉል	0	1	0	0

When you use it

Use this table when you must count the bases, side faces, edges or vertices of a prism, pyramid, cube or sphere.

Watch out

A sphere has no base, no edge and no vertex. Its one face is curved, so do not count it as a flat side face with edges.

Drafted from Grade 5 Mathematics, pages 151-164, then checked twice before it went up

መስመሮች፣ አንግሎች እና ልኬት

Area of a rectangleFormula

A = l \times w

A = l \times w

$A$: area of the rectangle $m^{2}$
$l$: length of the rectangle $m$
$w$: width of the rectangle $m$

When you use it

Use this when a question asks how much floor, land, glass or paint covers a rectangular surface.

Watch out

Area is in square units, such as square metres, while perimeter is in plain metres. Do not give an area answer without the square unit.

Drafted from Grade 5 Mathematics, pages 165-206, then checked twice before it went up

Area of a squareFormula

A = a^{2}

A = a^{2}

$A$: area of the square $m^{2}$
$a$: length of one side of the square $m$

When you use it

Use this when a question gives one side of a square and asks for its area, for example a square tile, plot or window.

Watch out

Multiply the side by itself, not by 2 or 4. The answer is in square units. Doubling the side gives the perimeter, not the area.

Drafted from Grade 5 Mathematics, pages 165-206, then checked twice before it went up

Complementary and supplementary anglesCommon mistake

When you use it

Use this when a question gives one angle beside another and asks for the missing angle on a right angle or a straight line.

Watch out

Complementary angles add to 90 degrees, which is a right angle. Supplementary angles add to 180 degrees, which is a straight line. Students often swap the two totals, so check which line or corner the angles sit on before subtracting.

Drafted from Grade 5 Mathematics, pages 165-206, then checked twice before it went up

Perimeter of a rectangleFormula

P = 2(l + w)

P = 2(l + w)

$P$: perimeter of the rectangle $m$
$l$: length of the rectangle $m$
$w$: width of the rectangle $m$

When you use it

Use this when a question asks for the distance around a rectangular field, wall, board or hall, or for the length of wire or line needed to go round it.

Watch out

Add all four sides. Count the length twice and the width twice, then add them; leaving out one pair of sides is the usual lost mark.

Drafted from Grade 5 Mathematics, pages 165-206, then checked twice before it went up

Reading a protractorCommon mistake

When you use it

Use this when measuring an angle with a protractor, or when a measured angle comes out as 180 degrees minus the expected value.

Watch out

Put the centre on the vertex and line up the 0 mark with one arm. Read the scale that starts at 0 on that arm. If you read the other scale, the answer is 180 minus the true value.

Drafted from Grade 5 Mathematics, pages 165-206, then checked twice before it went up

The Grade 5 Mathematics textbook

The student textbook for the new curriculum, free as a PDF. The cards on this page follow its chapters.

Ministry of Education edition, Amharic
212 pages
Download the PDF
Oromia Education Bureau edition, Afaan Oromoo
169 pages
Download the PDF

What the book covers

1.ልኬት፣ ስፋት እና ይዘት
2.ክፍልፋዮች
3.አስርዮሾች
4.መቶኛ
5.በተለዋዋጮች መስራት
6.መረጃ አያያዝ
7.የጠጣር ምስሎች ዓይነትና ትርጉም
8.መስመሮች፣ አንግሎች እና ልኬት

The same subject in other years

An exam paper keeps asking for what the year below taught. Those cards are here too.

Your other Grade 5 subjects

Everything else in this year that has cards so far.

Questions students ask

What do the Grade 5 Mathematics cards cover?: 31 cards across 8 chapters of the national textbook: ልኬት፣ ስፋት እና ይዘት, ክፍልፋዮች, አስርዮሾች, መቶኛ, በተለዋዋጮች መስራት, መረጃ አያያዝ, የጠጣር ምስሎች ዓይነትና ትርጉም and መስመሮች፣ አንግሎች እና ልኬት. You can take any chapter one card at a time on the page itself.
Is there a national exam in Grade 5?: No. Ethiopia sets national exams in Grade 6, Grade 8 and Grade 12 only. These cards are for your school's own exams, and for the national exam that comes a few years later.
Where do these cards come from?: They are drafted from Grade 5 Mathematics, the Ministry of Education textbook for this grade. A second pass that cannot see the chapter then re-derives every formula, constant and table row, and anything it cannot confirm is held back instead of published.
Is this free?: Yes. Every card here is free to read and the printable sheet is free to download. Neither needs an account.
When was this last checked?: 13 October 2026. Cards arrive chapter by chapter, and the line under each one says when that card was last read through.

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