Candy and Frank
第 3 步,共 4 步 · 结果

示例学生 的测试结果

要点

我们的发现:示例学生 的失分主要集中在「Number clues: digit puzzles and divisibility」和「Money and time: cents, coins, clocks and elapsed time」。

本周:每个学习日做一份 20 道题的练习卷,练习这些技能;之后参加周六的模拟考试。

接下来:看看学习计划如何把这些结果安排成逐周的练习。

诊断测试 · 2026-09-07 · 由代码批改,每一项判定都对应到具体的题目。

8 / 11
已作答 11 题中答对的题数(本次测试共 12 题)
8 / 11
勾选了「I checked it twice」(我检查了两遍)的题数 —— 这是孩子自己勾选的,不是系统测量的结果
3
个接下来要掌握的技能
示例学生 目前的水平

Proficiency(合格) Credit(优良) Distinction(优异) High Distinction(特优) Prize(奖)

目前还没有充分的证据表明已达到某一级标准 —— 达到一级标准,需要牢固掌握它所涉及的每一项技能。距离 Proficiency(合格) 还差 7 个技能:1 个需要巩固,6 个尚未测试。

这里展示的是技能标准,不是名次:奖项每年按排名决定,任何网站都无法承诺获奖。

各领域的掌握程度 · 初步结果,0 到 100

数与运算 (测了 2 个技能)
33
解题 (测了 3 个技能)
85
规律 (只测了 1 个技能,属于初步结果)
100
图形与空间 (测了 3 个技能)
100
金钱与时间 (只测了 1 个技能,属于初步结果)
50
数据与概率 (只测了 1 个技能,属于初步结果)
100

以上结果只来自这一次测试,每个技能只有一到两道题:满格表示目前答对了,并不代表已经牢固掌握。孩子独立做对同一技能的一道新题,并在一周后再次做对,才算牢固掌握。计算时按难度档加权:已掌握的技能计满分,仍不稳定的计一半,尚未掌握的计零。

按难度档

3 / 4
热身 相当于真题第 1–10 题
3 / 4
进阶 相当于第 11–20 题
2 / 4
挑战 相当于第 21–30 题 —— 决定奖项的题

逐题查看

✓
The diagram shows an L-shaped garden. Only two sides are labelled. What is the perimeter of the garden, in centimetres?
Q1 · 热身 · Shapes and area · 正确
✓
The net is folded to make a cube. Which number is on the face opposite the face numbered 5?
Q2 · 热身 · Space: cubes, nets, views and routes · 正确
✗
The first clock shows when a movie started and the second shows when it finished. How many minutes did it take?
Q3 · 热身 · Money and time: cents, coins, clocks and elapsed time · 所填答案:A (160) ·
错在哪一步: 160 is what comes out of treating an hour as 100 minutes instead of 60. Jump to the next full hour, count the whole hours, then add the last minutes.
✓
Pat has the digit cards 6, 7, 9. Using every card exactly once she makes a single 3-digit number. What is the difference between the largest and smallest numbers she can make?
Q4 · 热身 · Place value: building the biggest or smallest number · 正确
✓
The pictograph shows the number of players for each child. Each full symbol stands for 4 players; a half symbol stands for 2. How many players were there for Ben?
Q5 · 进阶 · Data and chance: graphs, pictographs and spinners · 正确
✓
Nia is exactly in the middle of a queue. Raf is 7 places behind Nia, and there are 8 people behind Raf. How many people are in the queue?
Q6 · 进阶 · Counting the ways: cases and combinations · 正确
✗
4 tickets cost $19. How many dollars do 20 tickets cost?
Q7 · 进阶 · Working backwards and sharing in ratio · 所填答案:A (35) ·
错在哪一步: 35 is what comes out of adding the difference instead of multiplying by the scale factor. Ask how many times bigger the new amount is, then multiply by that.
✓
Lights are placed 4 m apart all the way around a triangular garden with sides 12 m, 40 m and 36 m, with a light at each corner. How many lights are needed?
Q8 · 进阶 · Shapes and area · 正确
✓
Priya spends her prize money in three stages: first she spends 1/2 of it, then 1/5 of what is left, then 1/3 of what is left. She now has $16. How many dollars was the prize?
Q9 · 挑战 · Working backwards and sharing in ratio · 正确
✗
What is the smallest three-digit number that is odd, a multiple of 3, contains the digit 8, has no digit 0, and has all different digits?
Q10 · 挑战 · Number clues: digit puzzles and divisibility · 所填答案:192 ·
✓
At noon, 6 lights all flash at the same moment. After that they flash every 5, 4, 9, 8, 4 and 9 seconds respectively. How many seconds after noon do all 6 lights next flash together?
Q11 · 挑战 · Patterns that repeat: cycles and step rules · 正确
Three different numbers are chosen from the list 3, 5, 7, ..., 105 and added together. How many different totals are possible?
Q12 · 挑战 · Counting the ways: cases and combinations · 未作答 ·

接下来要掌握的技能

关于「错在哪一步」:系统把孩子填写的答案与这类题中一种已知的错误思路对应了起来。这是根据一个数字作出的最可能的判断,并不能证明孩子当时就是这样想的 —— 在重新讲解整个技能之前,建议先问问孩子是怎么想的。

  1. Number clues: digit puzzles and divisibility 原因待查 (本次测试作答 1 题,答对 0 题;做错:Q10)
    • multiples, factors and remainders
    • digit rules: even/odd, digit sums, 'contains the digit'
    • finding the smallest number that fits several clues at once
    • sharing with none (or the same number) left over: the least common multiple
  2. Money and time: cents, coins, clocks and elapsed time 待复查 (本次测试作答 1 题,答对 0 题;做错:Q3)
    错在哪一步: 160 is what comes out of treating an hour as 100 minutes instead of 60. Jump to the next full hour, count the whole hours, then add the last minutes.
    • coin totals in cents
    • change from a note
    • unit price
    • minutes between two clock times
  3. Working backwards and sharing in ratio 待复查 (本次测试作答 2 题,答对 1 题;做错:Q7)
    错在哪一步: 35 is what comes out of adding the difference instead of multiplying by the scale factor. Ask how many times bigger the new amount is, then multiply by that.
    • undoing a chain of steps from the end
    • fractions of a whole and what is left
    • sharing in a ratio; scaling a recipe or price
    • two-weighing problems (compare, then subtract)

目前已答对的技能:Shapes and area(2/2)、Space: cubes, nets, views and routes(1/1)、Place value: building the biggest or smallest number(1/1)、Data and chance: graphs, pictographs and spinners(1/1)、Counting the ways: cases and combinations(1/1;Q12 未作答)、Patterns that repeat: cycles and step rules(1/1)。每个技能只考了一到两道题 —— 这是证据,还不代表已经掌握。学习计划会用新题对这些技能逐一重新检测。

第 4 步 · 学习计划

把这些结果变成逐周的学习计划

计划会根据 示例学生 的测试结果、学习目标、距离 AMC 剩余的周数,以及您设定的每周学习日天数来制定:每周练哪个技能,每周六安排一次模拟考试,并如实检查达到目标所需的训练能否在剩余时间内完成。

可打印的证据报告:打开