### 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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