Real Numbers, Surds & Rounding (Grade 10) — Worksheet & Memo

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Grade 10 · Algebraic Expressions

Real Numbers, Surds & Rounding (Grade 10)

EXAM-STYLE CLASS TEST

Marks

Duration

45 minutes

Questions

Name:

Class:

Date:

Mark

/ 30

Instructions and Information

Answer ALL the questions in this question paper.
Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
Show ALL calculations clearly.
Show all units where applicable.
Number the answers correctly according to the numbering system used in this question paper.
A non-programmable calculator may be used, unless stated otherwise.
Write neatly and legibly.

Question 1

[10 MARKS]

Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.

1.1
√112 lies between which TWO integers?
(1)
A)9 and 10
B)10 and 11
C)11 and 12
D)55 and 56
1.2
Which ONE of these numbers is IRRATIONAL?
(1)
A)16
B)20
C)0,25
D)227
1.3
Rounded to THREE decimal places, 3,04528 is …
(1)
A)3,046
B)3,045
C)3,05
D)3,0453
1.4
Rounded to THREE significant figures, 0,004936 is …
(1)
A)0,004
B)0,00494
C)0,005
D)0,00493
1.5
Which ONE of these is a NON-TERMINATING, RECURRING decimal?
(1)
A)18
B)13
C)2
D)0,75
1.6
−3 belongs to which ONE of these sets?
(1)
A)the natural numbers
B)the integers
C)the whole numbers
D)the irrational numbers
1.7
Which statement about √−9 is true?
(1)
A)it equals −3
B)it is non-real
C)it equals 3
D)it is irrational
1.8
A plank 3,7 m long is cut into pieces 0,8 m long. How many WHOLE pieces are cut?
(1)
A)5
B)4
C)4,625
D)4,6
1.9
Without a calculator, the best estimate of √40 is …
(1)
A)20
B)6,3
C)4,5
D)8
1.10
A circle of radius 5 cm has area 78,539816… cm². Correct to TWO decimal places this is …
(1)
A)78,53 cm²
B)78,54 cm²
C)78,5 cm²
D)79 cm²

Answer grid — circle your answers for Question 1

1.1	A	B	C	D
1.2	A	B	C	D
1.3	A	B	C	D
1.4	A	B	C	D
1.5	A	B	C	D
1.6	A	B	C	D
1.7	A	B	C	D
1.8	A	B	C	D
1.9	A	B	C	D
1.10	A	B	C	D

Question 2

[9 MARKS]

Answer the following questions WITHOUT the use of a calculator.

2.1
Determine between which TWO consecutive integers 112 lies.
(3)
2.2
Consider the list: −7 ; 16 ; 5 ; 227 ; π ; 0,272727…
Write down ALL the IRRATIONAL numbers from the list.
(3)
2.3
Explain why 227 is RATIONAL even though it is used as an approximation for the irrational number π.
(3)

Question 3

[11 MARKS]

Answer the questions below.

3.1
Round 3,14159 off to THREE decimal places, and 0,04567 off to THREE decimal places.
(3)
3.2
Determine, without a calculator, between which two consecutive integers 54 lies, and state which of the two 54 is CLOSER to. Justify your answer.
(5)
3.3
A learner rounds 12,996 to TWO decimal places and writes 12,99. Identify the error and give the correct answer.
(3)

TOTAL: 30 marks

This question paper consists of 3 questions.