Question

section a: multiple choice questions
question 1: circle the letter of the correct answer:
10 marks
question 1: circle the letter of the correct answer:
(1)
1.1 the prime factors of 160 are...
19
a) 2×3×5×5
c) 2×2×2×2×2×5
b) 2×2×2×2×5
d) 2×2×3×5×5
(1)
1.2 find the value of n if 0÷n = 3675
1.1
a) 0
c) 3675
b) 3674
d) 3765
(1)
1.3 bongani has 30 pencils. he shares them between himself and his brother thami in
the ratio 2:3. how many pencils does thami get?
(1)
a) 5
c) 3
b) 18
d) 2
(1)
1.4 which is the simplest form of the fraction \\( \frac{600}{1000} \\)?
a) 0.06
c) \\( \frac{6}{100} \\)
b) \\( \frac{3}{5} \\)
d) \\( \frac{60}{1000} \\)
(1)
1.5 what is the next number in the sequence below?
0.9 ; 1 ; 1.1 ; 1.7 ; 2.1 ; —
(1)
a) 1.5
c) 2.4
b) 2.5
d) 2.3
(1)
1.6 what is the place value of the digit 2 in the decimal fraction 0.264?
a) 2 tenths
c) 2 thousandths
b) 2 hundredths
d) 2 units
(1)
1.7 which decimal fraction below is equivalent to \\( \frac{3}{4} \\)?
a) 3.14
c) 0.75
b) 0.34
d) 0.25

Explanation:

Step1: Prime factorization of 160

We know that \(160 = 2\times80\), \(80=2\times40\), \(40 = 2\times20\), \(20=2\times10\), \(10=2\times5\). So \(160=2\times2\times2\times2\times2\times5\) (option b).

Step2: Value of \(n\) in \(0\div n = 3675\)

We know that \(0\div a=0\) for any non - zero \(a\). So \(n\) can be any non - zero number. But if we assume the equation is \(n\div0\) (a wrong notation in standard arithmetic, but if we consider the options, maybe a mis - write), but if we consider \(n\div1 = n\), if the equation is \(n\div1=3675\), then \(n = 3675\) (option c).

Step3: Ratio problem

The sum of the ratio parts is \(2 + 3=5\). The total number of pencils is 30. Each part is \(\frac{30}{5}=6\). Thami's share (3 parts) is \(3\times6 = 18\) (option b).

Step4: Simplifying fraction \(\frac{600}{1000}\)

We divide numerator and denominator by 200. \(\frac{600\div200}{1000\div200}=\frac{3}{5}\) (option b).

Step5: Sequence pattern

The differences between consecutive terms: \(1 - 0.9=0.1\), \(1.7 - 1 = 0.7\), \(2.1-1.7 = 0.4\). If we consider another approach, looking at the sequence as \(0.9,1.0,1.7,2.1\). The next term: \(2.1+0.4 = 2.5\) (option b).

Step6: Place value

In \(0.264\), the digit 2 is in the tenths place (option a).

Step7: Equivalent decimal of \(\frac{3}{4}\)

We know that \(\frac{3}{4}=3\div4 = 0.75\) (option c).

Answer:

1.1 b; 1.2 c; 1.3 b; 1.4 b; 1.5 b; 1.6 a; 1.7 c