我們的 課程

Summit of Math 是一個來自美國的數學學習平台,由資深教育工作者設計,能配合香港和國際數學課程。課程覆蓋初小至高中;範疇橫跨數、代數、圖形與空間、度量和數據處理等內容。

Sample question 1: Basic addition and subtraction

Match the numbers that add to make ten



Sample question 2: Models of Numbers Less Than 100

What number do the base ten blocks show?

Sample question 1: 1M3 Length and distance (centimetre)

The length of the ant is 1 centimeter. Estimate the length of the tunnel.

Sample question 2: Time (hour, year, month, day, week)

Move the hands to show the time 2:00.

Sample question 1: 3-D shapes (prisms, cylinders, pyramids, cones and spheres)

Subtract the number of cylinders from the number of cubes

Sample question 2: 2-D shapes 2-D shapes (points, straight lines, curves, polygons and circles)

Select all the sides in the shape.

Sample question 1: Addition and subtraction (addition within 3 places; subtraction within 2 places; properties)

Compare.



Sample question 2: Basic multiplication

Write as a multiplication sentence.

Sample question 1: Length and distance (metre)

Tim has the length of ribbon shown below. He needs a total of 32 centimeters of ribbon for a game. How much more ribbon does he need?

Sample question 2: Time (hour, minute, a.m., p.m., day, year)

Ruth got to the airport at quarter past 3. Colin got to the airport 10 minutes after 4. Which clock shows to the time Colin got to the airport?

Sample question 1: 3-D shapes (face, prism and pyramids)

How many faces does the solid have?

Sample question 2: Angles

Select all the angles in the shape.

Sample question 1: Pictograms

How many kids picked silver or white?

Sample question 1: 5-digit numbers

Add 6 to the digit in the ten thousands of 17,902. Write the new five-digit number.



Sample question 2: Fractions (concept, comparison, addition and subtraction of fractions with the same denominator)

Use the fraction bars to write an equivalent fraction for 1/4 with a denominator of 12.

Sample question 1: Weight

Eric’s dog weighted 310 g when it was born. After 3 months, it is weighed 8 kg. how much did the weight of the dog increase in grams?

Sample question 1: Triangle

Compare the number of sides in a quadrilateral and hexagon.

Sample question 2: Quadrilaterals (parallelogram, trapeziums)

Trapezoids have exactly one pair of parallel sides. Identify the trapezoids.

Sample question 1: Bar charts (1 square represents 1, 2 or 5 units)

Use the table to make a graph

Sample question 1: Multiples and factors

Classify each number.


Sample question 2: Decimals (addition and subtraction)

Add the numbers with the help of the number chart.

Sample question 1: Perimeter (irregular shapes, squares and rectangles)

The side length of the largest square is 4 times the side length of the shaded square. Find the perimeter of the shaded square.

Sample question 2: Area (square centimetre, square metre, squares, rectangles)

Find the total area of the figure.

Sample question 1: Quadrilaterals (rhombus, classification)

In the game, players draw one name card and for quadrilaterals from a bag. The name card tells the players which quadrilateral will give them points. For example, if a player drew the name ‘rectangle’ and picked 2 quadrilaterals that were rectangles, the player would earn 10 points for each rectangle. Player A picked the name ‘trapezium’ and the figures shown below. How many points did player A get?

Sample question 1: Fractions (addition and subtraction of fractions with different denominators)

The width of a picture frame is 16 3/5 centimeters. Its length is 4 4/5 centimeters longer than the width. Find the length and the perimeter of the picture frame. Write the answer in simplest form.



Sample question 2: Decimals (multiplication)

Use mental math to complete the pattern.

Sample question 1:Elementary algebra

A meal at a school cafeteria contains fruit and pizza. Write a variable expression for the total cost of cheese pizza meals, mushroom pizza meals, and Hawaiian pizza meals.



Sample question 2: Simple equations (two steps)

Matthew is 8 years old and Joe is 47 years old. In how many years will Joe be four times as old as Matthew?

Sample question 1: Area (parallelograms, triangles, trapeziums and polygons)

Select the base and height of the obtuse triangle.

Sample question 2: Volume (cubic centimetre, cubic metre, cuboids, cubes)

A cube has a side length of 6 m. the height of the cube is decreased by 3 m and the length and width remain the same. What is the difference in volumes?

Sample question 1: 3-D shapes (vertices, edges, faces, net and sections)

A plane intersects a cube, as shown below. Identify the cross section.

Sample question 1: Line Plots

Use the line plot to find the number of data points that have a value greater than 4 3/5.

Sample question 1: Decimals (conversion between decimals and fractions, comparison of fractions)

The expression 2·(10/3)2+4·10/3 ·5 represents the surface area of the square prism shown below. Find the surface area of the square prism. Write the surface area as a fraction in simplest form.



Sample question 2: Percentages (concept; conversion)

The 7th grade students at Knowre Middle School voted on what sports to play at their next activity day. What percent of the students voted to play field hockey?

Sample question 1:Simple equations (brackets; non-integral coefficients or constants)

Miranda is going trekking with three of her friends. They decided to split up their trekking gear so that the weight of the gear would be shared equally. When Miranda's backpack was empty, it weighed 1 1/2 kilograms. After Miranda's bag was packed, it weighed 15 kilograms. What was the total weight of the group's trekking gear?



Sample question 1: Perimeter (circumference)

Knowreville's currency is the Knowre dollar. The watermark on the one-dollar bill is made up of twelve semicircles, or half-circles, with equal diameters. The length of the diameter for six semicircles on the watermark is 36 mm. Find the length of the watermark on the bill. Write the answer in terms of π.

Sample question 1: Symmetry

The figures are reflected over the line. Identify the figures that result in a rhombus after the reflection.

Sample question 1: Pie Chart

200 high school students were surveyed about their favorite subject. How many of the students chose math?


The average of a data set can be found by adding all the values, then dividing the sum by the number of values. Find the average of the data shown on the line plot.

Sample question 1: Under Construction

Under Construction



Sample question 2: Under Construction

Under Construction

Sample question 1:Under Construction

Under Construction



Sample question 2:Under Construction

Under Construction



Sample question 1: Under Construction

Under Construction

Sample question 2: Under Construction

Under Construction

Sample question 1: Under Construction

Under Construction



Sample question 2: Under Construction

Under Construction

Sample question 1:Under Construction

Under Construction



Sample question 2:Under Construction

Under Construction



Sample question 1: Under Construction

Under Construction

Sample question 2: Under Construction

Under Construction

Sample question 1: Under Construction

Under Construction



Sample question 2: Under Construction

Under Construction

Sample question 1:Under Construction

Under Construction



Sample question 2:Under Construction

Under Construction



Sample question 1: Under Construction

Under Construction

Sample question 2: Under Construction

Under Construction

Sample question 1: Under Construction

Under Construction



Sample question 2: Under Construction

Under Construction

Sample question 1:Under Construction

Under Construction



Sample question 2:Under Construction

Under Construction



Sample question 1: Under Construction

Under Construction

Sample question 2: Under Construction

Under Construction

Sample question 1: Under Construction

Under Construction



Sample question 2: Under Construction

Under Construction

Sample question 1:Under Construction

Under Construction



Sample question 2:Under Construction

Under Construction



Sample question 1: Under Construction

Under Construction

Sample question 2: Under Construction

Under Construction

Sample question 1: Under Construction

Under Construction



Sample question 2: Under Construction

Under Construction

Sample question 1:Under Construction

Under Construction



Sample question 2:Under Construction

Under Construction



Sample question 1: Under Construction

Under Construction

Sample question 2: Under Construction

Under Construction