基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 數學科 6 年級校本工作紙 P6 Mathematics Worksheets Terminology (make sure you know what they are!) ? Radius (r) ? Diameter (d) ? Pi ( = 3.14) ? Circumference (c) = 2 r or d ? Centre Points to Note ? When you draw the diameter of a circle, make sure your line passes through the centre point of the circle! ? Read your questions carefully, be aware of what it is asking for, radius or diameter. 課題：Circles 編號：_ 姓名：_ 班別：_( ) ?已能掌握 ?基本達標 ?仍需努力 日期：_ 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 Part A Part B - Measure and fill in the table. Round your answers to the tenth when necessary. 1) 2) 3) 4) 1 2 3 4 Radius（mm） Diameter（mm） Circumference (mm) Name the following: a. _ b. _ c. _ 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 Part C - Find the circumference Part D - Applications. Please include all the necessary horizontal steps, numerical answers, units and statement answers. Round up your answers to the hundredth place when necessary. 1. A circular piece of cardboard has a radius of 10cm. What is its circumference? _ 2. A circle has a diameter of 20mm. What is its circumference? _ 1. cm 2. cm 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 3. A circle has a circumference of 40 cm. What is its diameter? _ 4. A bicycle wheel has a radius of 0.6m. What is its radius? _ 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 數學科 6 年級校本工作紙 P6 Mathematics Worksheets Review First of all, we need to understand the terminology: Left hand side (LHS): terms on the left to the equal sign Right hand side (RHS): terms on the right to the equal sign Unknown: an unidentified quantity i.e. x, y, z etc Eliminate: to cancel out, i.e. + eliminates , x eliminates The GOLDEN RULE: What we do to one side, we must do the same to the other side. 課題：Percentages 編號：_ 姓名：_ 班別：_( ) ?已能掌握 ?基本達標 ?仍需努力 日期：_ 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 Example 1 2P 10 22 Step 1: We always want to have just the unknown on one side, so we eliminate -10 on the LHS by +10 2P 10 + 10 = 22 + 10 2P = 32 Step 2: Divide 2P by 2 P = 16 Example 2 A negative unknown 10 2P = 22 Step 1: We eliminate 10 on the LHS by -10 10 10 -2P = 22 10 -2P = 12 Step 2: -P = 6 ? P is negative We then switch the negative sign to the other side. i.e. we multiply both sides by -1. -P x -1 = 6 x -1 P = -6 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 Example 3 10x + 3 = 5x + 8 This is a more complicated form of equations as more steps are involved. Where there are numbers and unknowns on both sides. Step 1: We eliminate + 3 on the LHS 10x + 3 3 = 5x + 8 3 10x = 5x + 5 Step 2: We eliminate 5x on the RHS 10 x 5x = 5x 5x + 5 5x = 5 Step 3: x = 1 Now try the practice questions on the next page. 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數學/p6 Part A 1. 2A + 3 7 2. 3B + 6 12 _ _ _ _ 3. R7 + 9 11 4. 6Y + 3 21 _ _ _ _ 5. 7P + 4 11 6. M13 2 8 _ _ _ _ 7. 8 2K = 20 8. 10 5L = 75 _ _ _ _ 9. 10 3P = 55 10. 6Y 10 = 5Y + 1 _ _ _ _ 基督教臻美黃乾亨小學暨初中學校 Pegasus Philip Wong Kin Hang Christian Primary School cum Junior Secondary School 臻美小學/07-08 年/數