### Questions - Numbers

**1)** What is Place Value ?

Also known as Partitioning.

H | T | O

**2)** What is Composing and Decomposing of Numbers ?

Composing - joining groups or a set of numbers, to make another number.

Decomposing - breaking numbers down to their component parts.

**3)** Is the number zero odd or even ?

**4)** What are a pair of Numbers ?

**5)** What are **Consecutive Numbers** ?

Consecutive numbers are numbers that follow each other in order (from smallest to largest without gaps)

22, 24, 26, 28 and 30 are consecutive even numbers.

**6)** What is a Sequence ?

A Sequence is a list of things (usually numbers) that are in order.

**7)** What is Ascending order and Descending order ?

**8)** Write Numbers in Figures and Words ?

**9)** What is **Addition** ?

The process of calculating the total of two or more numbers or amounts.

**10)** What is the Sum of 2 Numbers ?

**11)** What is the Sum of the Numbers 2 to 6 ?

**12)** What is **Subtraction** ?

The process of taking a matrix, vector, or other quantity away from another under specific rules to obtain the difference

**13)** Subtract forty five from ninety six ?

**14)** What is **Multiplication** ?

The process of combining matrices, vectors, or other quantities under specific rules to obtain their product.

Multiplication is commutative

**15)** What is the Product of 2 Numbers ?

**16)** What is Multiplication - Long Method

Also known as Multiply With Regrouping

**17)** What is Multiplication - Compact Method

**18)** What is **Division** ?

The process of separating something into parts or the process of being separated.

**19)** What is Division - Long Method

Also known as Divide With Regrouping

**20)** What is Division - Compact Method

Also known as Short or Bus Stop Method

**21)** If 29 was divided by 7 what would the remainder be ?

**22)** Divide 136 equally into 4 groups ?

**23)** What is the **Bar Model method** ?

Is a problem solving strategy.

This method uses a picture representation (with bars and boxes) to represent the known and unknown quantities.

**24)** I think of a number. I divide it by three and add four. I get an answer of 9. What number was I thinking of ?

**25)** What must I take away from 279 to make 146 ?

**26)** How to add up a lot of small numbers ?

Write them all underneath one another and subtotal as you go

**27)** Add five to the sum of twelve and eighteen ?

**28)** Take nine from the sum of fifteen and thirteen ?

**29)** What is double five times nine ?

Multiple and divide before add and subtract

**30)** What is 9 x 22 + 160 ?

**31)** Can you estimate / approximate number sums ?

**32)** What is **BODMA** ?

BODMAS is an acronym to help children to remember the order of operations in calculations.

It stands for, 'Brackets, Order, Division, Multiplication, Addition, Subtraction.

**33)** What is a **Factor** ?

The factors of a number are all the numbers that divide into it exactly.

Itself is always a factor.

1 is always a factor.

**34)** What are the Factors of 39 ?

**35)** What is a **Composite Number** ?

A composite number is a positive number that has at least one factor other than 1 and itself.

**36)** What is a **Multiple** ?

When two numbers are multiplied together you get a multiple.

The multiples of a number are the numbers in its times table.

**37)** What is a multiple of 5 that comes before 345 ?

**38)** What is the multiple of 10 that follows 340 ?

**39)** What is the Highest Common Factor (HCF) ?

The biggest number that will divide into all the numbers in the question

**40)** What is the Lowest Common Multiple (LCM) ?

The smallest number that will divide by all the numbers in the question

**41)** What is a **Prime Number** ?

A number that has only two factors, one and itself.**1 is not a prime number**

2 is the only even prime number

Prime numbers end in 1, 3, 7 or 9

**42)** What are the **Prime Factors** of a number ?

These are the prime numbers which can be multiplied together to make that number.

**43)** What is an **Integer** ?

An integer is a whole number.

**44)** What is a Negative Number ?

A number that is less than zero.

**45)** What is a Remainder ?

This is what is left over.

**46)** Round 546 to the nearest 10 ?

**47)** When do you Round Up ?

If the decider digit is 5, 6, 7, 8 or 9

**48)** When do you Round Down ?

If the decider digit is 1, 2, 3, or 4

**49)** What is 6.996 rounded to 2 decimal places ?

**50)** What is a **Fraction** ?

Tells us how many parts of a whole we have.

A fraction represents part of a whole.

**51)** What is the Numerator ?

This is the top part of a fraction. How much you have.

**52)** What is the Denominator ?

This is the bottom part of a fraction. This is the total.

**53)** What is the Common Denominator ?

This is a multiple of both the denominators.

**54)** How do you reduce a Fraction to its Lowest Term ?

Also known as Simplest Form.

You divide the numerator and denominator by their highest common factor.

**55)** What is the fraction 16/48 in its lowest term ?

**56)** What proportion of 3 hours is 10 minutes ?

**57)** What is Two Thirds of 15 ?

What is Four Fifths of 25 ?

What is Three Quarters of 100 ?

What is 5/8 of 56 ?

**58)** There are 100 sweets, you give 1 in every 2, to your sister, how many do you have left ?

**59)** What is a **Proper Fraction** ?

A fraction where the numerator is smaller than the denominator

Less than one and greater than zero.

**60)** What is an **Improper Fraction** ?

A top heavy fraction where the numerator is greater than or equal to the denominator.

Equal to one or greater than one.

**61)** What is a Simple Fraction ?

A fraction where both the numerator and denominator are whole numbers (or Integers)

Also known as a Common Fraction or Vulgar Fraction.

**62)** How do we Compare Fractions ?

You must convert them so they have the same denominator.

**63)** What does Renaming a Fraction mean ?

To rename a fraction, you multiple both its numerator and denominator by the same number.

This creates an Equivalent Fraction

**64)** What is a **Rational Number** ?

These are numbers that can be written as fractions

They can be made by dividing two integers.

**65)** What is an **Irrational Number** ?

A number that cannot be written as a simple fraction.

These are decimal numbers that go on forever without repeating.

For example the square root of two.

**66)** How many different methods of rounding are there ?

Decimal Places (dp)

Significant Figures (sf)

Nearest Whole Number (10, 100, 1000)

**67)** What is a **Mixed Number** ?

A mixed number is a number that has a whole number and also a fraction

A decimal number can be changed into a mixed number.

**68)** What is a **Decimal** ?

A decimal is a number whose whole number part and the fractional part is separated by a decimal point.

The dot in a decimal number is called a decimal point.

The digits after the decimal point show a value that is less than one

The digits before the decimal point is always a whole number

**69)** What is the Decimal Place Value Line ?

**70)** What is 0.3 * 0.3 ?

0.9

**71)** Can all decimals be converted to an equivalent fraction ?

Yes

**72)** How can we convert a fraction to a decimal

By using long division N / D = D |- N (or push the fraction over)

**73)** Write these Fractions as Decimals ?

1/2 = 0.5

1/3 = 0.333

1/4 = 0.25

1/5 = 0.2

3/4 = 0.75

**74)** Change these Fractions to Decimals ?

7/10 =

3/2 =

24/10 =

33/10 =

**75)** What is a **Real Number** ?

There are an infinite number of real numbers.

These are all real numbers: integers, fractions, decimals, rational and irrational numbers.

The opposite to real numbers are imaginary numbers.

**76)** What is a Squared Number ?

A square number is the result when a number has been multiplied by itself.

**77)** What is a Cubed Number ?

A cubed number is the result when a number has been multiplied by itself 3 times.

**78)** What is a **Percentage** ?

Per cent means out of 100.

So 20% means 20 out of 100 or (20/100) as a fraction

**79)** What are the 3 different types of Average ?

Mean - Average

Median - Middle

Mode - Most

**80)** What is the **Mean** ?

Also known as Average

This is the total of the items divided by the number of items

**81)** What is the **Median** ?

This is the middle value when values are in order of size

**82)** What is the **Mode** ?

This is value that is most common

The number that occurs the most.

**83)** What is the **Range** when describing numbers ?

The difference between the largest and the smallest numbers.

#### Questions - Other

**84)** What is Algebra ?

A part of maths that deals with finding missing numbers in equations.

**85)** Can you simplify (a + a + a) ?

Another word for simplifying is collecting "Like" terms.

**86)** What is a Frequency Bar Chart ?

**87)** What is a Frequency Table ?

**88)** What is a Pictogram ?

A pictogram is a chart that uses pictures to represent data.

**89)** What is a Bar Chart ?

Also known as Bar Graph

These blocks are horizontally

**90)** What is a Column Chart ?

These block are vertical

**91)** What is a Line Graph ?

Also known as Line Chart

**92)** What is a Pie Chart ?

**93)** What is a Frequency Polygon ?

**94)** What is a Grouped Frequency Table ?

**95)** What is a Venn diagram ?

A diagram in which data is organised into overlapping circles (and sometimes other shapes).

**96)** What is a Carroll diagram ?

A Carroll diagram is used to organise data and group it according to whether it fits certain criteria.

**97)** What is a **Ratio** ?

A ratio is used to compare two numbers or quantities

When you share out an amount using a given ratio, then each share is a proportion of the total amount.

**98)** What is a Decision Tree ?

**99)** What is Direct Proportion ?

**100)** What is Inverse Proportion ?

**101)** What is Percentage Change ?

**102)** What is Percentage Increase ?

**103)** What is Percentage Decrease ?

**104)** What is Probability ?

**105)** What are the **Metric Units** for the following:

Length - mm, cm (1cm = 10mm), m (1m = 100cm), km (1km = 1000m)

Area - mm2, cm2, m2, km2

Volume - mm3, cm3, m3, ml, litres (1l = 1000ml)

Mass - g, kg (1kg = 1000g), tonnes

Speed - m/s, km/h

**106)** Can you change and convert between the different units ?

**107)** How many millimetres in 3.5 Centimeters ?

**108)** What is 500mm squared, converted to centimetres squared ?

**109)** What is 4000mm squared, converted to centimeters squared ?

**110)** What is 2200cm squared, converted to metres squared ?

**111)** What is Mass ?

The amount of matter in an object measured in grams and kilograms.

**112)** What are the **Imperial Units** for the following:

Length - inches, feet (12 inches), yards (3 feet), miles

Area - square inches, square feet, square miles

Volume - cubic inches, cubic feet, pints, gallons (8 pint)

Mass - ounces (oz), pounds (lb, 16 ounces), stones (14 pounds) , tons

Speed - mph

**113)** What does Heavy mean ?

Weighing a lot, hard to lift.

When something is heavy we are talking about how much it weighs.

The opposite of heaviest is lightest.

**114)** What are the approximate conversions for the following:

1 inch = 2.5 cm

1 foot = 30 cm

1 kg = 2.2 pounds

1 litre = 1.75 pints

1 gallon = 4.5 litres

1 mile = 1.6 km (5 miles = 8 km)

**115)** What does Bearing mean ?

An angle between the direction north and the direction in which you are travelling.

**116)** What are the Roman Numerals ?

1 = I (capital i), 5 = V, 10 = X, 50 = L, 100 = C, 500 = D, 1000 = M

1 = I, 2 = II, 3 = III, 4 = IV, 5 = V, 6 = VI, 7 = VII, 8 = VIII, 9 = IX

10 = X, 20 = XX, 30 = XXX, 40 = XL, 50 = L, 60 = LX, 70 = LXX, 80 = LXXX, 90 = XC

**117)** What is a plane ?

A flat, 2D surface that extends infinitely.

**118)** How many days in a year ?

365 days

**119)** How many days in a leap year ?

366 days

This type of year has an extra day and occurs once every 4 years.

**120)** How many days in a month ?

J = 31, F = 28/29, M = 31, A = 30, M = 31, J = 30, J = 31, A = 31, S = 30, O = 31, N = 30, D = 31

30 days has September, April, June and November

**121)** How many weeks in a month ?

4 weeks

**122)** How many weeks in a year ?

52 weeks

**123)** How many years in a century ?

100 years

**124)** How many years in a millenium ?

1000 years

**125)** When is Guy Forks night / fireworks ?

**126)** If May 27 is a Wednesday, what is the date of the following Wednesday ?

**127)** What fraction of an hour is 15 minutes ?

**128)** If I must arrive at school at 8:45am, when should I start my 25 minute journey ?

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