Free Printable UJIAN PENILAIAN 1 MATEMATIK TAMBAHAN TINGKATAN 4

1.

$Given\ f\left(x\right)=2x-3\ and\ fg\left(x\right)=10x-1,\ find$ Diberi f (x) = 2x -3 dan fg (x) = 10x - 1, cari
(a) $fg\left(2\right),$

a)

9

b)

11

c)

19

d)

21

2.

$Given\ that\ f\left(x\right)=2x-3\ and\ fg\left(x\right)=10x-1,\ find$ Diberi f (x) = 2x - 3 dan fg (x) = 10x - 1, cari

\left(b\right)\ \ g\left(x\right).

a)

$5x+1$

b)

$10x+1$

c)

$\frac{x+3}{2}$

d)

$5x+14$

3.

$Given\ the\ function\ g\ :\ x\ \longrightarrow\ 5x\ -2,\ find$
Diberi fungsi g : x $\rightarrow$ 5x -2 , cari
(a) $the\ value\ of\ x\ when\ g\left(x\right)\ maps\ onto\ itself,$
nilai x apabila g(x) memeta kepada diri sendiri,

a)

$2$

b)

$1$

c)

$\frac{1}{2}$

d)

$\frac{2}{5}$

4.

Given the function g : x ⟶ 5x −2, find
Diberi fungsi g : x $\rightarrow$ 5x - 2, cari

(a) $the\ value\ of\ k\ such\ that\ g\left(3-k\right)=9k$
nilai k dengan keadaan g ( 3 - k ) = 9k.

a)

$\frac{12}{14}$

b)

$\frac{13}{14}$

c)

$\frac{15}{12}$

d)

$\frac{3}{10}$

5.

Diberi h(x) = m²x + n, h(0) = -3 dan h(2) = 15 , cari nilai m dan n.

Given h(x) = m²x + n, h(0) = -3 and h(2) = 15 , find the values of m and of n.

a)

m = 3 , n = ± 3

b)

m = -3 , n = ± 3

c)

m = ± 3 , n = 3

d)

m = ± 3 , n = -3

6.

Ungkapkan fungsi kuadratik f(x) = 2x² - 6x + 5 dalam bentuk a(x + p)² + q.

Express the quadratic function f(x) = 2x² - 6x + 5 in the form of a(x + p)² + q.

a)

$2\left(x-\frac{3}{2}\right)^2+\frac{1}{2}$

b)

$2\left(x-\frac{3}{2}\right)^2+\frac{11}{4}$

c)

$\left(x-\frac{3}{2}\right)^2+\frac{1}{2}$

d)

$-\left(x-\frac{3}{2}\right)^2+\frac{11}{4}$

7.

Diberi satu fungsi kuadratik $f\left(x\right)=-\left(x-2\right)^2+9$ , nyatakan titik maksimum dan persamaan paksi simetri bagi lengkung itu.

Given a quadratic function $f\left(x\right)=-\left(x-2\right)^2+9$ , state the maximum point and the equation of the axis of symmetry of the curve.

a)

$\left(-2,\ 9\right)\ \ and\ \ x=-2$

b)

$\left(2,\ 9\right)\ \ and\ \ x=-2$

c)

$\left(-2,\ 9\right)\ and\ \ x=2$

d)

$\left(2,\ 9\right)\ and\ x=2$

8.

Tentukan julai nilai x untuk x² − 7x + 12 ≥ 0.

Find the range of values of x for x² − 7x + 12 ≥ 0.

a)

$x<3\ \ ,\ \ x>4$

b)

$x\le3\ \ ,\ \ x\ge4$

c)

$3<x<4$

d)

$3\le x\le4$

9.

Jika α dan β adalah punca-punca bagi persamaan kuadratik 3x2 − 2x + 5 = 0, bentukkan persamaan kuadratik yang mempunyai punca-punca $\frac{4}{\alpha}\ and\ \ \frac{4}{\beta}.$

If α and β are the roots for the quadratic equation 3x2 − 2x + 5 = 0 , find the quadratic equation whose roots are $\frac{4}{\alpha}\ and\ \ \frac{4}{\beta}.$

a)

5x² − 8x + 48 = 0

b)

4x² − 3x + 2 = 0

c)

x² − 8x + 48 = 0

d)

x² + 3x + 8 = 0

10.

Diberi fungsi f : x → 9x + 2 , cari f ⁻¹(x).

Given a function f : x → 9x + 2 , find f ⁻¹(x).

a)

$\frac{x+2}{9}$

b)

$\frac{x-2}{9}$

c)

$x-\frac{2}{9}$

d)

$2-9x$

11.

Diberi fungsi f : x → 9x + 2 dan gf : x → 243x² + 9x − 1 , cari g(x).

Given the functions f : x → 9x + 2 and gf : x → 243x² + 9x − 1 , find g(x).

a)

x² − x + 3

b)

2x² − 11x + 3

c)

3x² − 11x + 9

d)

5x² − 8x + 20

12.

Diberi bahawa f : x → ∣ x − 3 ∣ , cari nilai-nilai x jika f(x) = 10.

Given that f : x → ∣ x − 3 ∣ , find the values of x if f(x) = 10.

a)

$-7\ \ or\ \ \ 13$

b)

$7\ \ or\ \ -13$

c)

$7$

d)

$13$

13.

$Diberi\ f\left(x\right)=\frac{6x-3}{1-2x}\ \ ,\ x\ne k\ .\ Cari\ nilai\ k.$

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$1$

d)

$2$

UJIAN PENILAIAN 1 MATEMATIK TAMBAHAN TINGKATAN 4

Total questions: 13

Worksheet time: 48mins

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