TEST CHAPTER 3 [Form 4]

Which of the following is a statement?

• 3x

• 2x + 5x

• y < 2

• −2 > −1

Which of the following statements can be generalised to cover all cases using the quantifier ‘all’ ?

• Factors of 6 are factors of 24.

• Multiples of 6 are multiples of 8.

• Prime numbers are odd numbers.

• Factors of 6 are factors of 9.

Given the statement p is ‘5% = 0.05’ and statement q is ‘47 = 4.7 × 10’, which of the following is true?

• ~p and ~q

• ~p and q

• p and ~q

• p and q

The generalisation for the pattern of the numerical sequence 2, 5, 10, 17, ... is

• $1+(n+1)^2\ ,n=1,2,3,...$

• $1+(n−1)^2\ ,n=1,2,3,...$

• $1+n^2\ ,n=1,2,3,...$

• $1−n^2\ ,n=0,1,2,...$

Which of the following is a true statement?

• $(3^2)^3=3^5\ or\ \ 0.47=4.7×10^{-1}.$

• $x>2\ \ or\ \ x^2>4.$

• $2∈\left\{1,2\right\}\ and\ \left\{1\right\}∈\ \left\{1,2\right\}.$

• $Ifx^2=25,\ then\ \ x=5.$

• An octagon has 8 sides.

• An octagon is a polygon.

• ABCDEFGH has 8 sides.

• ABCDEFGH is an octagon with 8 sides.

• If k = 8, then k² = 64.

• If k² = 64, then k = –8.

• If k ≠ 8, then k² ≠ 64.

• If k² ≠ 64, then k ≠ 8.

What is the general conclusion by induction for the above number sequence?

• 6n² , where n = 1, 2, 3, …

• 6n – 5, where n = 1, 2, 3, …

• 6n² – 5, where n = 1, 2, 3, …

• 6n2 – 5, where n = 1, 4, 9, …

• if k = -7, then k³ = -343

• if k = 7, then k³ = -343

• if k $\ne$ 7, then $k^3\ne343$

• if $k^3\ne343$ , then $k\ne7$

• 137

• 274

• 281

• 288