Mathematics SKE: STRAND B
UNIT B2 Number Classification and Bases: Mental Questions
B2 Number Classification and Bases
M B2 A
1.
Mental Maths
Questions
(no calculator)
m
Write the recurring decimal 0.8˙ in the form
when m and n are
n
8
( )
9
integers with no common factors.
2.
Write down
(a) one rational number,
(b) one irrational number
in the interval 3 < x < 4 .
(e.g. (a)
a 2 + b 2 rational or irrational when a = 5 , b = 6 ?
3.
Is the number x =
4.
Which of these numbers is irrational
1
1
6.
If a = 5 +
(a)
a+b
(b)
ab
(c)
a2
(d)
b2 ?
Write
2, b = 5 −
( 94 )
2 , then what is
1
in the form m +
2 +1
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(irrational)
1
9 −1 , 9 4 , 9 2 , 9 2 ?
5.
7
, (b) π )
2
(10, 21, 27 + 10 2 , 27 − 10 2 )
n.
( 2 −1)
Mathematics SKE: STRAND B
UNIT B2 Number Classification and Bases: Mental Questions
B2 Number Classification and Bases
M B2 B
1.
Mental Maths
Questions
(no calculator)
Write the recurring decimal 0.7˙ in the form
m
when m and n are
n
7
( )
9
integers with no common factors.
2.
Write down
(a) one rational number,
(b) one irrational number
in the interval 1 < x < 2 .
(e.g. (a)
a 2 + b 2 rational or irrational when a =
3.
Is the number x =
4.
Which of these numbers is irrational
1
6.
If a =
2 − 1, b =
(a)
a+b
(b)
ab
(c)
a2
(d)
b2 ?
Write
(rational)
( 25 4 )
2 + 1, then what is
1
in the form m +
2 −1
© CIMT, Plymouth University
2 )
1
1
25−1 , 25 4 , 25 2 , 252 ?
5.
3
,b=2 ?
2
3
, (b)
2
( 2 2 , 1, 3 − 2 2 , 3 + 2 2 )
n.
( 2 + 1)
Mathematics SKE: STRAND B
UNIT B2 Number Classification and Bases: Mental Questions
B2 Number Classification and Bases
M B2 C
Mental Maths
Questions
(no calculator)
1.
In binary, calculate 11 + 1.
(100)
2.
In binary, calculate 10 − 1 .
(1)
3.
Convert the binary number 1000 to base 10.
(8)
4.
Convert the binary number 101 to base 10.
(5)
5.
Convert the binary number 111 to base 10.
(7)
6.
Convert the base 10 number 10 to binary.
(1010)
7.
In binary, calculate 101 × 10 .
(1010)
8.
Convert 1111 from binary to base 10.
9.
Convert the base 10 number 33 to binary.
(100001)
10. Convert the base 10 number 22 to binary.
(10110)
M B2 D
(15)
(no calculator)
1.
In binary, calculate 111 + 1.
2.
In binary, calculate 1010 ÷ 10 .
3.
Convert the base 10 number 33 to binary.
4.
In binary, calculate 100 − 1.
(11)
5.
Convert the binary number 1011 to base 10.
(11)
6.
Convert the binary number 10001 to base 10.
(17)
7.
Convert the base 10 number 66 to binary.
(1000010)
8.
Convert 100 from base 10 to binary.
(1100100)
9.
Convert the binary number 11011 to base 10.
10. In binary, calculate 11 × 11.
© CIMT, Plymouth University
(1000)
(101)
(100001)
(27)
(1001)