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Worksheets

KSN SD

Total questions: 19

Worksheet time: 5hrs 45mins

Name
Class
Date
1.

Hasil dari

 (313×3)−(2,75:138)\left(3\frac{1}{3}\times3\right)-\left(2,75:1\frac{3}{8}\right)  adalah (a)  

2.


Jika a = 3, b = -4, dan c = -1, maka nilai dari

 2b2+ac− 32bc2b^2+ac-\ ^3\sqrt{2bc}  adalah (a)  

3.

Diketahui tiga bilangan bulat a, b dan c. Jika

 203=a+1b+1c\frac{20}{3}=a+\frac{1}{b+\frac{1}{c}}  maka nilai dari 8a + 3b- c = (a)  

4.

Sisa pembagian dari

 172013+292013 17^{2013}+29^{2013}\   oleh 10 adalah (a)  

5.

Bila

 a Δ b = b(a+b)2−(a+b)32aa\ \Delta\ b\ =\ \frac{b\left(a+b\right)^2-\left(a+b\right)^3}{2a}  maka nilai dari  2 Δ 52\ \Delta\ 5  adalah (a)  

6.

 Berapakah nilai dari  x3+y3x^3+y^3 , jika  x+y=3 dan x2+y2=5x+y=3\ dan\ x^2+y^2=5  ?

(a)  

7.

Tentukan nilai n yang memenuhi persamaan 5^n+5^n+5^n+5^n+5^n=125\ 



(a)  

8.

 14×5+15×6+16×7+... +1502×503= ?\frac{1}{4\times5}+\frac{1}{5\times6}+\frac{1}{6\times7}+...\ +\frac{1}{502\times503}=\ ?  

(a)  

9.

Misalkan x dan y adalah bilangan real tak nol. Jika 1x+1y=13 dan x+y=52\frac{1}{x}+\frac{1}{y}=13\ dan\ x+y=52 , berapakah xy? 



(a)  

10.

Dino mengendarai mobil dengan kecepatan 100 km/jam dari kota A ke kota B. Jika Dino mengendarai mobil tersebut dengan kecepatan 110 km/jam, ternyata Doni bisa menghemat waktu 9 menit. Jarak dari kota A ke kota B adalah (a)   km.

11.

The value of  135913592−(1358)(1360)\frac{1359}{1359^2-\left(1358\right)\left(1360\right)}  is (a)  

12.

Find the value of (20092010+20102011+67)(12+20092010+20102011+25)−(12+20092010+20102011+67)(20092010+20102011+25)\left(\frac{2009}{2010}+\frac{2010}{2011}+\frac{6}{7}\right)\left(\frac{1}{2}+\frac{2009}{2010}+\frac{2010}{2011}+\frac{2}{5}\right)-\left(\frac{1}{2}+\frac{2009}{2010}+\frac{2010}{2011}+\frac{6}{7}\right)\left(\frac{2009}{2010}+\frac{2010}{2011}+\frac{2}{5}\right)  




(a)  

13.

For any positive integer n, let d(n) be the sum og digits in n. For example, d(123) = 1 + 2 + 3 = 6 and d(7879) = 7 + 8 + 7 + 9 = 31. The value of d(d(999 888 777 666 555 444 333 222 111)) is (a)  

14.

The number of zeros in the end digits in the product of 1x5x10x15x20x25x30x35x40x45x50x55x60x65x70x75x80x85x90x95 is (a)  

15.

The least positive integer n so that 490 x n is a perfect cube number is (a)  

16.

Fill in all the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 on the ten squares above, so that the sum of numbers located on each arrowed line is 20. Two numbers are already filled in. The number on the square with a question mark (?) is (a)  

17.

In the diagram, BC = 5, DE = 1 and DC = 20, where D lies on AC and E lies on AB. Both ED and BC are perpendicular to AC. The length of AD is (a)   (Note: the figure is not in proportional scale)

18.

In the figure, two half-circles are inscribed in a square. These two half-circles intersect at the center of the square. If the side of the square has length 14 cm, then the area of the shaded region is ... cm^2.

(a)  

19.

ABCD is a trapezoid (trapezium) with AB parallel to CD. The ratio of AB : CD is 3 : 1. The point P is on CD. The ratio of the area of triangle APB to the area of trapezoid ABCD is (a)