Control Test 1: Numbers and integers; fractions, exponents, patterns and relationships, algebra 1 TOTAL: 50 marks


Question 1 1.1.1 Determine the HCF of 456 and 1 320


1.1.2 Determine the LCM of 47 and 61 1.2


State whether the following are true or false. If false write the correct statement.


1.2.1 Every rational number has a unique successor. 1.2.2 There are no other rational numbers between 1,0 and 1,1. 1.2.3 A terminating decimal fraction is a rational number. 1.2.4 A recurring decimal fraction is not a rational number. 1.2.5 The square root of a perfect square is a rational number. 1.3 1.4


Prime factorise 13 500.


A plane flying at an altitude of 10 000 m above sea level begins its descent at a rate of 150 m/s. How many seconds will it take the plane to reach an altitude of 1 000 m above sea level?


Question 2 2.1


Time: 1 hour


(2) (1)


(5) (2)


(2) [12]


Draw a number line showing integers from −1 to +2. Draw one unit for every 5 cm. Show the points representing the following numbers on the number line: −0,75 − 1


2.2 Provide the common fraction for each of the following in simplest form 2.2.1 0,875 2.2.3 2,15


___ 10


___ 10


10 1,5


__ 3


2


2.2.2 0,005 2.2.4 0,750


2.3 Simplify: 2.3.1 192 a 3 y 2


______ 16 a 4 y


2.3.2 4x


__ 3a + 2a


2.3.3 4a x 2 b 2.3.4 3 √


__ x


_____ 2 b 2 ÷ b 3 c


______ 27 x 3 y 9


______ 64 x 9 y 12


Question 3


3. 1 Without using a calculator work out the value of: 3.1.1 4−2 × (2−3) × 80 3.1.2 310 ÷ (3−4)−3


3.2 Write the following in scientific notation: 3.2.1 865 998 000 000


3.2.2 0,000004561


(2) (2)


(2) [6]


Chapter 17: Programme of Assessment 315


___ c 2


1,75


(2) (4) (1) (1) (2) (2) [12]


CHAPTER 17


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