Numeral Determiners
Board Exam Notes
What Are Numeral Determiners?
Look at these sentences carefully:
She has three brothers.
He finished first in the race.
I want half a glass of water.
She earns double my salary.
The bold words — three, first, half, double — are numeral determiners. They come before a noun and give information about number, order, or quantity.
A numeral determiner is a word placed before a noun to express a specific number, order, fraction, or multiple related to that noun. It answers questions like: “How many?”, “In what order?”, “What fraction?”, or “How many times?”
Key rule: A numeral determiner always comes before a noun. The same number word can also be used as a pronoun or adverb — but when it comes directly before a noun and modifies it, it is a determiner.
Three students arrived late. → “three” + noun “students” = Numeral Determiner
I need three more. → “three” stands alone = Numeral Pronoun
Types of Numeral Determiners
Numeral determiners are divided into four main types. Each type tells us something different about the noun.
- Express exact count
- Answers: “How many?”
- one, two, three, four…
- ten, twenty, hundred…
- Five students came.
- I have two pens.
- Express position or rank
- Answers: “In what order?”
- first, second, third…
- tenth, twentieth, last…
- She stood first in class.
- This is the third time.
- Multiplicative: how many times
- Fractional: part of a whole
- double, triple, twice…
- half, quarter, one-third…
- Double the amount
- Half the class attended.
| Type | What it tells us | Examples | Sample Sentence |
|---|---|---|---|
| Cardinal | Exact number / count | one, two, five, ten, hundred, thousand | Four birds sat on the wire. |
| Ordinal | Position / sequence / rank | first, second, third, fourth, last, next | She lives on the third floor. |
| Multiplicative | How many times / multiples | double, triple, fourfold, twice, tenfold | He earns double the salary. |
| Fractional | Part of a whole | half, quarter, one-third, two-thirds | Half the students passed. |
Note: Some grammar books further classify numeral determiners as Definite (exact: one, two, first, second) and Indefinite (vague: few, many, several — covered under quantifiers). In CBSE, numeral determiners mainly refer to cardinal, ordinal, multiplicative, and fractional numbers.
Rules in Detail — Each Type Explained
Cardinal numbers — key rules:
1. Cardinal numbers come before the noun they count: three books, ten students.
2. When used with articles: a / an comes before cardinal numbers starting with a vowel sound: an hour, an eight-year-old child.
3. Hyphenate compound numbers from 21 to 99: twenty-one, forty-five, ninety-nine.
Ordinal numbers — key rules:
1. Ordinal numbers are usually preceded by the: the first prize, the second floor, the third chapter.
2. When writing ordinals as figures, add the suffix: 1st, 2nd, 3rd, 4th, 5th…
3. Last, next, and former / latter also function as ordinal-type numeral determiners showing sequence.
Fractional determiners — key rules:
1. Half can come before “a/an” + noun: half a cup, half an hour. When “half” comes after “a”, it is a different construction: a half cup.
2. Fractions like two-thirds, three-quarters are hyphenated.
3. Fractional determiners are followed by singular or plural nouns depending on the noun: half the class (singular verb), two-thirds of the students (plural verb).
Special Rules Students Must Know
| Type | Typical Position | Example |
|---|---|---|
| Cardinal | Before a plural or uncountable noun, no article needed usually | Three boys won the prize. |
| Ordinal | After the (definite article), before the noun | He won the first prize. |
| Ordinal (predicative) | After the verb “to be” or “to finish” | She finished third in the race. |
| Multiplicative | Before “the” + noun, or before articles | He earns double the wage. |
| Fractional | Before “a/an” + noun or “the” + noun | Half the team was absent. |
- Numbers one to ten: one, two…ten
- At the start of a sentence: Twenty students…
- Round numbers: a hundred, a thousand
- Fractions: two-thirds, one-half
- Times: seven o’clock, half past two
- Numbers above ten: 11, 25, 100
- Dates: 15th August, 26th January
- Percentages: 45%, 90%
- Measurements: 5 km, 3 kg, 10 cm
- Page / chapter numbers: page 37, Chapter 4
| Determiner | Meaning | Example |
|---|---|---|
| last | The final one in a sequence; most recent | Last week, the exams were held. |
| next | The one immediately following | I will meet you next Monday. |
| former | The first of two things already mentioned | I prefer the former option. |
| latter | The second of two things already mentioned | Of the two, I prefer the latter plan. |
- Three students were absent.
- Five apples are left in the basket.
- Twenty people attended the meeting.
- Half the class was absent.
- One-third of the water has evaporated.
- A quarter of the work is done.
- Two-thirds of the students have passed.
- Half the students were present.
- Three-quarters of the voters have cast votes.
- Ten kilometres is a long walk.
- Five hundred rupees is not enough.
- Three hours was all we had.
Tricky rule: When a number refers to a single unit, amount, or measurement as a whole, use a singular verb — even if the noun is technically plural.
Five kilometres is a long distance. ✓ (treating it as one measurement)
Five students are absent. ✓ (treating them as separate individuals)
Memory Tricks
The word ordinal sounds like “order” — ordinal numbers tell you the order/position.
How many? → Cardinal (three, ten)
In what order? → Ordinal (third, tenth)
the first chapter
the second floor
the last student
Spot “the + number-word” → Ordinal!
half a cup ✓ (not “a half cup”)
half an hour ✓ (not “an half hour”)
Remember: Half + a/an + noun. The article comes after half, not before it.
former → the first one (F = First)
latter → the last one (L = Last)
“Tea or coffee? I prefer the former.” = I prefer tea (mentioned first)
Two-thirds of the water has evaporated. (water = uncountable/singular)
Two-thirds of the students have passed. (students = plural)
Look at the noun after “of” to decide the verb.
Ten rupees is all I have. ✓
Five kilometres is too far. ✓
Two hours is enough time. ✓
Think of it as one block of measurement, not separate units.
Common Mistakes Students Make
She has third brothers.
She has three brothers.
We are counting brothers, not ranking them. Use a cardinal number (three) to answer “how many?” Use ordinals only for position or order.
She stood one in the examination.
She stood first in the examination.
We are expressing position/rank, not counting. Use an ordinal number (first, second, third) when showing the order or rank of something.
Please give me a half glass of water.
Please give me half a glass of water.
“half” comes before the article, not after. The correct structure is: half + a/an + noun. “Half a glass” is correct; “a half glass” is informal/non-standard in formal writing.
Two-thirds of the students was absent today.
Two-thirds of the students were absent today.
“Students” is a plural noun, so the verb must be plural (were). When a fraction is followed by “of + plural noun,” the verb is plural. When followed by “of + singular/uncountable noun,” the verb is singular.
Of reading, writing, and speaking, I prefer the former.
Of reading, writing, and speaking, I prefer reading (the first). (Use “former” only for two items.)
“Former” and “latter” only work with exactly two items. For three or more items, refer to the item by name or use “the first,” “the last,” etc.
25 students participated in the competition.
Twenty-five students participated in the competition.
A sentence should never begin with a numeral written in figures. Always write the number in words when it starts a sentence. If the number is very long, restructure the sentence.
Commonly Confused Concepts
| Cardinal Number | Ordinal Equivalent | Used When |
|---|---|---|
| one | first (1st) | one = counting; first = ranking/position |
| two | second (2nd) | two friends vs the second friend |
| three | third (3rd) | three chapters vs the third chapter |
| four | fourth (4th) | four floors vs the fourth floor |
| five | fifth (5th) | five marks vs the fifth mark |
| nine | ninth (9th) | Note: nine → ninth (drop the ‘e’) |
| twelve | twelfth (12th) | Note: twelve → twelfth (change ‘ve’ to ‘f’) |
| twenty | twentieth (20th) | Note: twenty → twentieth (change ‘y’ to ‘ieth’) |
- The final one; nothing comes after
- This is the last chapter of the book.
- She was the last student to leave.
- Last week, the exams began. (most recent past)
- The most recent; more could still come
- Have you seen his latest film?
- What is the latest news?
- This is her latest book. (she may write more)
| FORMER | LATTER |
|---|---|
| Refers to the first of two things mentioned | Refers to the second of two things mentioned |
| Only used with exactly two things | Only used with exactly two things |
| Always preceded by the | Always preceded by the |
| Of Maths and Science, I prefer the former. (= Maths) | Of Maths and Science, I prefer the latter. (= Science) |
The one-line test: Is the number word placed directly before a noun and modifying it?
YES → Numeral Determiner | NO (stands alone) → Numeral Pronoun
| Function | Example | How to identify |
|---|---|---|
| Numeral Determiner | Three students came. | Noun “students” follows directly |
| Numeral Pronoun | Three came. | Stands alone — no noun after it |
| Numeral Determiner | She stood first in the third round. | “third” + noun “round” = determiner; “first” after verb = adverbial use |
| Numeral Adverb | She came first. | Describes the verb “came” — no noun follows |
Board Exam Tips
Identify the question first. “How many?” → Cardinal. “In what order?” → Ordinal. “What fraction?” → Fractional. “How many times?” → Multiplicative. One question = one answer.
Ordinals need “the” before them. In fill-in-the-blank questions, if “the” is already in the sentence before the blank, an ordinal number is expected: the ______ prize → first, second, third.
Fraction verb agreement — look at the noun after “of”. Singular/uncountable noun → singular verb. Plural noun → plural verb. The fraction itself does not decide the verb — the noun after “of” does.
Never begin a sentence with a number in figures. In editing questions, a sentence beginning with “25 students…” or “3 boys…” is always an error. Write: “Twenty-five students…” or “Three boys…”
Half a / half an — article after “half”. In error correction, watch for “a half glass” — this should be “half a glass.” The correct order is always: half + article + noun.
Former / latter — only for two items. If three or more items are mentioned and the question uses “former” or “latter,” that is an error. These words work strictly with pairs.
Number + unit = singular verb. When a number and its unit of measurement form one block (five kilometres, two hours, ten rupees), use a singular verb — even though the noun looks plural.
Hyphenate compound numbers and fractions. In writing tasks, twenty-one (not twenty one), two-thirds (not two thirds), forty-five (not forty five). Missing hyphens are marked wrong in formal writing.
Most-tested numeral determiner patterns in CBSE board exams:
1. Cardinal vs ordinal confusion | 2. Fraction + verb agreement | 3. Half a / a half | 4. Number at start of sentence (figures vs words) | 5. Former/latter with three items | 6. Number + unit + singular verb | 7. Last vs latest
Solved Examples
Interactive Practice Questions
How to use: Read each question and select your answer. Click Check Answer for instant feedback with a full, simple explanation. Try each question on your own first!
Summary — Key Takeaways
one, two, five, ten, hundred…
Three students came.
first, second, third, last, next…
Usually follows the.
double, triple, twice, fourfold…
Double the salary.
half, quarter, one-third…
Structure: half a cup (half before article).
Fraction + of + plural noun → plural verb
Number + unit = singular verb
latter = second of two
Only for exactly two items. Always with the.
2. Count or rank?
3. Check noun after “of” for verb
4. Figures vs words?
Numeral determiners are everywhere in English — every time you say “three books,” “first prize,” “half the class,” or “double the effort,” you are using them! The most important things to master are: (1) cardinal vs ordinal — know when to count and when to rank; (2) fraction + verb agreement — look at the noun after “of”; (3) half a cup (half before the article); and (4) never start a sentence with a figure. Practise the interactive questions, review your mistakes, and this topic will be your strength in the exam. You are doing brilliantly — keep it up!